45329604672000
45,329,604,672,000 is an even composite number composed of seven prime numbers multiplied together.
45329604672000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 45329604672000:
29 × 3 × 53 × 112 × 31 × 113 × 557
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 31 × 113 × 557)See below for interesting mathematical facts about the number 45329604672000 from the Numbermatics database.
Names of 45329604672000
- Cardinal: 45329604672000 can be written as Forty-five trillion, three hundred twenty-nine billion, six hundred four million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 4.5329604672 × 1013
Factors of 45329604672000
Divisors of 45329604672000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 31 32 33 40 44 48 50 55 60 62 64 66 75 80 88 93 96 100 110 113 120 121 124 125 128 132 150 155 160 165 176 186 192 200 220 226 240 242 248 250 256 264 275 300 310 320 330 339 341 352 363 372 375 384 400 440 452 465 480 484 496 500 512 528 550 557 565 600 605 620 640 660 678 682 704 726 744 750 768 775 800 825 880 904 930 960 968 992 1000 1023 1056 1100 1114 1130 1200 1210 1240 1243 1280 1320 1356 1364 1375 1408 1452 1488 1500 1536 1550 1600 1650 1671 1695 1705 1760 1808 1815 1860 1920 1936 1984 2000 2046 2112 2200 2228 2260 2325 2400 2420 2480 2486 2560 2640 2712 2728 2750 2785 2816 2825 2904 2976 3000 3025 3100 3200 3300 3342 3390 3410 3503 3520 3616 3630 3720 3729 3751 3840 3872 3875 3968 4000 4092 4125 4224 4400 4456 4520 4650 4800 4840 4960 4972 5115 5280 5424 5456 5500 5570 5632 5650 5808 5952 6000 6050 6127 6200 6215 6400 6600 6684 6780 6820 7006 7040 7232 7260 7440 7458 7502 7680 7744 7750 7936 8000 8184 8250 8355 8448 8475 8525 8800 8912 9040 9075 9300 9600 9680 9920 9944 10230 10509 10560 10848 10912 11000 11140 11253 11300 11616 11625 11904 12000 12100 12254 12400 12430 12800 13200 13368 13560 13640 13673 13925 14012 14080 14125 14464 14520 14880 14916 15004 15125 15488 15500 15872 16000 16368 16500 16710 16896 16950 17050 17267 17515 17600 17824 18080 18150 18381 18600 18645 18755 19200 19360 19840 19888 20460 21018 21120 21696 21824 22000 22280 22506 22600 23232 23250 23808 24000 24200 24508 24800 24860 25575 26400 26736 27120 27280 27346 27850 28024 28160 28250 28928 29040 29760 29832 30008 30250 30635 30976 31000 31075 32000 32736 33000 33420 33900 34100 34534 35030 35200 35648 36160 36300 36762 37200 37290 37510 38400 38533 38720 39680 39776 40920 41019 41775 42036 42240 42375 42625 43392 43648 44000 44560 45012 45200 45375 46464 46500 47616 48000 48400 49016 49600 49720 51150 51801 52545 52800 53472 54240 54560 54692 55700 56048 56265 56500 57856 58080 59520 59664 60016 60500 61270 61952 62000 62150 62941 64000 65472 66000 66840 67397 67800 68200 68365 69068 69625 70060 70400 71296 72320 72600 73524 74400 74580 75020 77066 77440 79360 79552 81840 82038 83550 84072 84480 84750 85250 86335 86784 87296 87575 88000 89120 90024 90400 90750 91905 92928 93000 93225 93775 96000 96800 98032 99200 99440 102300 103602 105090 105600 106944 108480 109120 109384 111400 112096 112530 113000 115599 116160 119040 119328 120032 121000 122540 124000 124300 125882 127875 130944 132000 133680 134794 135600 136400 136730 138136 139250 140120 140800 142592 144640 145200 147048 148800 149160 150040 153175 154132 154880 155375 159104 163680 164076 167100 168144 169500 170500 172670 173568 174592 175150 176000 178240 180048 180800 181500 183810 185856 186000 186450 187550 188823 189937 192000 192665 193600 196064 198400 198880 202191 204600 205095 207204 208875 210180 211200 213888 216960 218240 218768 222800 224192 225060 226000 231198 232320 238080 238656 240064 242000 245080 248000 248600 251764 255750 259005 261888 262725 264000 267360 269588 271200 272800 273460 276272 278500 280240 281325 285184 289280 290400 294096 297600 298320 300080 306350 308264 309760 310750 314705 318208 327360 328152 334200 336288 336985 339000 341000 341825 345340 350300 352000 356480 360096 361600 363000 367620 372000 372900 375100 377646 379874 385330 387200 392128 396800 397760 404382 409200 410190 414408 417750 420360 422400 423863 427776 431675 433920 436480 437536 437875 445600 448384 450120 452000 459525 462396 464640 466125 468875 477312 480128 484000 490160 496000 497200 503528 511500 518010 523776 525450 528000 534720 539176 542400 545600 546920 552544 557000 560480 562650 569811 577995 580800 588192 595200 596640 600160 612700 616528 621500 629410 636416 654720 656304 668400 672576 673970 678000 682000 683650 690680 692351 700600 704000 712960 720192 723200 726000 735240 744000 745800 750200 755292 759748 765875 770660 774400 784256 795520 808764 818400 820380 828816 835500 840720 847726 855552 863350 867840 872960 875072 875750 891200 896768 900240 904000 919050 924792 929280 932250 937750 944115 949685 954624 960256 963325 968000 980320 992000 994400 1007056 1010955 1023000 1025475 1036020 1050900 1056000 1069440 1078352 1084800 1091200 1093840 1105088 1114000 1120960 1125300 1139622 1155990 1161600 1176384 1190400 1193280 1200320 1225400 1233056 1243000 1258820 1271589 1295025 1309440 1312608 1313625 1336800 1345152 1347940 1356000 1364000 1367300 1381360 1384702 1401200 1406625 1425920 1440384 1446400 1452000 1470480 1488000 1491600 1500400 1510584 1519496 1531750 1541320 1548800 1568512 1573525 1591040 1617528 1636800 1640760 1657632 1671000 1681440 1684925 1695452 1709125 1726700 1750144 1751500 1782400 1793536 1800480 1808000 1838100 1849584 1864500 1875500 1888230 1899370 1909248 1920512 1926650 1936000 1951171 1960640 1984000 1988800 2014112 2021910 2046000 2050950 2072040 2077053 2089307 2101800 2112000 2119315 2138880 2156704 2158375 2169600 2182400 2187680 2210176 2228000 2241920 2250600 2279244 2297625 2311980 2323200 2352768 2386560 2400640 2450800 2466112 2486000 2517640 2543178 2590050 2618880 2625216 2627250 2673600 2690304 2695880 2712000 2728000 2734600 2762720 2769404 2802400 2813250 2849055 2880768 2889975 2904000 2940960 2976000 2983200 3000800 3021168 3038992 3063500 3082640 3137024 3147050 3182080 3235056 3273600 3281520 3315264 3342000 3362880 3369850 3390904 3418250 3453400 3461755 3500288 3503000 3564800 3600960 3616000 3676200 3699168 3729000 3751000 3776460 3798740 3853300 3872000 3902342 3921280 3977600 4028224 4043820 4092000 4101900 4144080 4154106 4178614 4203600 4238630 4277760 4313408 4316750 4339200 4364800 4375360 4420352 4456000 4483840 4501200 4558488 4595250 4623960 4646400 4705536 4720575 4748425 4773120 4801280 4816625 4901600 4932224 4972000 5035280 5054775 5086356 5127375 5180100 5250432 5254500 5347200 5380608 5391760 5424000 5456000 5469200 5525440 5538808 5604800 5626500 5698110 5761536 5779950 5808000 5853513 5881920 5952000 5966400 6001600 6042336 6077984 6127000 6165280 6267921 6294100 6357945 6470112 6475125 6547200 6563040 6630528 6684000 6725760 6739700 6781808 6836500 6906800 6923510 7000576 7006000 7129600 7201920 7232000 7352400 7398336 7458000 7502000 7552920 7597480 7615861 7706600 7744000 7804684 7842560 7867625 7955200 8056448 8087640 8184000 8203800 8288160 8308212 8357228 8407200 8424625 8477260 8626816 8633500 8750720 8840704 8912000 8967680 9002400 9116976 9190500 9247920 9411072 9441150 9496850 9546240 9602560 9633250 9755855 9803200 9864448 9944000 10070560 10109550 10172712 10254750 10360200 10385265 10446535 10500864 10509000 10596575 10694400 10783520 10848000 10912000 10938400 11050880 11077616 11209600 11253000 11396220 11559900 11616000 11707026 11763840 11932800 12003200 12084672 12155968 12254000 12330560 12535842 12588200 12715890 12940224 12950250 13094400 13126080 13261056 13368000 13451520 13479400 13563616 13673000 13813600 13847020 14012000 14245275 14403840 14449875 14704800 14796672 14916000 15004000 15105840 15194960 15231722 15413200 15609368 15685120 15735250 15910400 16112896 16175280 16368000 16407600 16576320 16616424 16714456 16814400 16849250 16954520 17253632 17267000 17308775 17501440 17824000 18004800 18233952 18381000 18495840 18882300 18993700 19266500 19511710 19606400 19728896 19888000 20141120 20219100 20345424 20509500 20720400 20770530 20893070 21001728 21018000 21193150 21388800 21462881 21567040 21696000 21824000 21876800 22101760 22155232 22419200 22506000 22792440 22847583 23119800 23232000 23414052 23527680 23602875 23742125 23865600 24006400 24169344 24311936 24508000 24661120 25071684 25176400 25273875 25431780 25880448 25900500 26252160 26522112 26736000 26903040 26958800 27127232 27346000 27627200 27694040 28024000 28490550 28807680 28899750 29267565 29409600 29593344 29832000 30008000 30211680 30389920 30463444 30826400 31218736 31339605 31470500 31789725 32225792 32350560 32736000 32815200 33152640 33232848 33428912 33628800 33698500 33909040 34507264 34534000 34617550 35002880 35648000 36009600 36467904 36762000 36991680 37764600 37987400 38079305 38533000 39023420 39212800 39776000 40282240 40438200 40690848 41019000 41440800 41541060 41786140 42036000 42386300 42925762 43134080 43753600 44203520 44310464 44838400 45012000 45584880 45695166 46239600 46828104 47055360 47205750 47484250 47731200 48012800 48338688 48623872 48779275 49016000 49322240 50143368 50352800 50547750 50863560 51760896 51801000 51926325 52232675 52504320 52982875 53472000 53917600 54254464 54692000 55254400 55388080 56048000 56981100 57799500 58535130 58819200 59186688 59664000 60016000 60423360 60779840 60926888 61652800 62437472 62679210 62941000 63579450 64388643 64701120 65472000 65630400 66305280 66465696 66857824 67257600 67397000 67818080 69068000 69235100 71226375 72019200 72935808 73524000 73983360 75529200 75974800 76158610 77066000 78046840 78425600 79552000 80564480 80876400 81381696 82038000 82881600 83082120 83572280 84072000 84772600 85851524 86268160 86543875 87507200 88620928 90024000 91169760 91390332 92479200 93656208 94411500 94968500 96677376 97247744 97558550 98032000 98644480 100286736 100705600 101095500 101727120 103521792 103602000 103852650 104465350 105008640 105965750 106944000 107314405 107835200 108508928 109384000 110508800 110776160 112096000 113962200 114237915 115599000 117070260 117638400 119328000 120032000 120846720 121559680 121853776 123305600 124874944 125358420 125882000 127158900 128777286 129402240 131260800 132610560 132931392 133715648 134515200 134794000 135636160 138136000 138470200 142452750 144038400 145871616 146337825 147048000 147966720 151058400 151949600 152317220 154132000 156093680 156698025 158948625 161128960 161752800 162763392 164076000 165763200 166164240 167144560 168144000 169545200 171703048 172536320 173087750 175014400 177241856 180048000 182339520 182780664 184958400 187312416 188823000 189937000 190396525 195117100 196064000 200573472 201411200 202191000 203454240 207204000 207705300 208930700 211931500 214628810 215670400 217017856 218768000 221017600 221552320 224192000 227924400 228475830 231198000 234140520 235276800 236091691 238656000 240064000 241693440 243119360 243707552 243896375 246611200 249749888 250716840 251764000 254317800 257554572 258804480 259631625 261163375 262521600 265862784 267431296 269588000 271272320 276272000 276940400 284905500 291743232 292675650 294096000 295933440 302116800 303899200 304634440 308264000 312187360 313396050 317897250 321943215 323505600 325526784 328152000 331526400 332328480 334289120 336288000 339090400 343406096 346175500 354483712 360096000 364679040 365561328 369916800 374624832 377646000 379874000 380793050 390234200 392128000 401146944 402822400 404382000 406908480 414408000 415410600 417861400 423863000 429257620 431340800 437536000 443104640 455848800 456951660 462396000 468281040 472183382 483386880 486238720 487415104 487792750 493222400 499499776 501433680 503528000 508635600 515109144 517608960 519263250 522326750 525043200 531725568 534862592 536572025 539176000 542544640 552544000 553880800 569811000 571189575 585351300 588192000 604233600 607798400 609268880 616528000 624374720 626792100 635794500 643886430 647011200 651053568 656304000 663052800 664656960 668578240 672576000 678180800 686812192 692351000 708275073 720192000 729358080 731122656 731689125 739833600 749249664 755292000 759748000 761586100 780468400 783490125 802293888 805644800 808764000 813816960 828816000 830821200 835722800 847726000 858515240 862681600 875072000 886209280 911697600 913903320 924792000 936562080 944366764 951982625 974830208 975585500 998999552 1002867360 1007056000 1017271200 1030218288 1038526500 1044653500 1063451136 1069725184 1073144050 1078352000 1085089280 1105088000 1107761600 1139622000 1142379150 1170702600 1176384000 1180458455 1208467200 1215596800 1218537760 1233056000 1248749440 1253584200 1271589000 1287772860 1294022400 1312608000 1329313920 1337156480 1356361600 1373624384 1384702000 1416550146 1458716160 1462245312 1463378250 1479667200 1498499328 1510584000 1519496000 1523172200 1560936800 1566980250 1604587776 1609716075 1617528000 1627633920 1657632000 1661642400 1671445600 1695452000 1717030480 1772418560 1823395200 1827806640 1849584000 1873124160 1888733528 1903965250 1949660416 1951171000 2005734720 2014112000 2034542400 2060436576 2077053000 2089307000 2146288100 2156704000 2215523200 2279244000 2284758300 2341405200 2360916910 2416934400 2431193600 2437075520 2466112000 2497498880 2507168400 2543178000 2575545720 2588044800 2625216000 2658627840 2674312960 2682860125 2712723200 2747248768 2769404000 2833100292 2855947875 2924490624 2926756500 2996998656 3021168000 3038992000 3046344400 3121873600 3133960500 3209175552 3219432150 3235056000 3255267840 3315264000 3323284800 3342891200 3390904000 3434060960 3541375365 3646790400 3655613280 3699168000 3746248320 3777467056 3807930500 3899320832 3902342000 4011469440 4028224000 4069084800 4120873152 4154106000 4178614000 4292576200 4313408000 4431046400 4558488000 4569516600 4682810400 4721833820 4874151040 4994997760 5014336800 5086356000 5151091440 5317255680 5348625920 5365720250 5425446400 5494497536 5538808000 5666200584 5711895750 5848981248 5853513000 5902292275 6042336000 6077984000 6092688800 6243747200 6267921000 6438864300 6470112000 6646569600 6685782400 6781808000 6868121920 7082750730 7293580800 7311226560 7398336000 7492496640 7554934112 7615861000 7804684000 8022938880 8048580375 8138169600 8241746304 8308212000 8357228000 8585152400 8862092800 9116976000 9139033200 9365620800 9443667640 9748302080 10028673600 10172712000 10302182880 10731440500 10988995072 11077616000 11332401168 11423791500 11697962496 11707026000 11804584550 12084672000 12155968000 12185377600 12487494400 12535842000 12877728600 12940224000 13293139200 13371564800 13563616000 13736243840 14165501460 14622453120 14984993280 15109868224 15231722000 15609368000 16045877760 16097160750 16276339200 16483492608 16616424000 16714456000 17170304800 17706876825 18233952000 18278066400 18731241600 18887335280 19496604160 20057347200 20345424000 20604365760 21462881000 22155232000 22664802336 22847583000 23414052000 23609169100 24370755200 24974988800 25071684000 25755457200 26586278400 26743129600 27127232000 27472487680 28331002920 29244906240 29511461375 30219736448 30463444000 31218736000 32194321500 32966985216 33232848000 33428912000 34340609600 35413753650 36467904000 36556132800 37462483200 37774670560 40114694400 40690848000 41208731520 42925762000 44310464000 45329604672 45695166000 46828104000 47218338200 48741510400 50143368000 51510914400 54944975360 56662005840 58489812480 59022922750 60439472896 60926888000 62437472000 64388643000 66465696000 66857824000 68681219200 70827507300 73112265600 74924966400 75549341120 80229388800 81381696000 82417463040 85851524000 88534384125 90659209344 91390332000 93656208000 94436676400 97483020800 100286736000 103021828800 113324011680 118045845500 120878945792 121853776000 124874944000 128777286000 132931392000 133715648000 137362438400 141655014600 146224531200 151098682240 164834926080 171703048000 177068768250 181318418688 182780664000 187312416000 188873352800 200573472000 206043657600 226648023360 236091691000 243707552000 257554572000 274724876800 283310029200 292449062400 302197364480 343406096000 354137536500 362636837376 365561328000 374624832000 377746705600 401146944000 412087315200 453296046720 472183382000 487415104000 515109144000 566620058400 604394728960 686812192000 708275073000 731122656000 755493411200 824174630400 906592093440 944366764000 1030218288000 1133240116800 1373624384000 1416550146000 1462245312000 1510986822400 1813184186880 1888733528000 2060436576000 2266480233600 2833100292000 3021973644800 3777467056000 4120873152000 4532960467200 5666200584000 7554934112000 9065920934400 11332401168000 15109868224000 22664802336000 45329604672000
- Sum of all divisors σ(n): 172822742636544
- Sum of proper divisors (its aliquot sum) s(n): 127493137964544
- 45329604672000 is an abundant number, because the sum of its proper divisors (127493137964544) is greater than itself. Its abundance is 82163533292544
Bases of 45329604672000
- Binary: 10100100111010000111101111101111111010000000002
- Hexadecimal: 0x293A1EFBFA00
- Base-36: G2G4S8UTC
Squares and roots of 45329604672000
- 45329604672000 squared (453296046720002) is 2054773059719804227584000000
- 45329604672000 cubed (453296046720003) is 93142050487774572725617037672448000000000
-
The
square root of 45329604672000 is 6732726.3921831843 -
The
cube root of 45329604672000 is 35655.5639993417
Scales and comparisons
How big is 45329604672000?- 45,329,604,672,000 seconds is equal to 1,441,341 years, 11 weeks, 1 day, 5 hours, 20 minutes.
-
To count from 1 to 45,329,604,672,000 would take you about three million, six hundred three thousand, three hundred fifty-three years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 45329604672000 cubic inches would be around 2971.3 feet tall.
Recreational maths with 45329604672000
- 45329604672000 backwards is 00027640692354
- 45329604672000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 45329604672000's digits is 48
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 45329604672000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 45329604672000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/45329604672000/
Chicago style:
Numbermatics. 2024. "Number 45329604672000 - Facts about the integer". https://numbermatics.com/n/45329604672000/
The information we have on file for 45329604672000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 45329604672000, math, Factors of 45329604672000, curriculum, school, college, exams, university, Prime factorization of 45329604672000, STEM, science, technology, engineering, physics, economics, calculator, forty-five trillion, three hundred twenty-nine billion, six hundred four million, six hundred seventy-two thousand.