135399945408000
135,399,945,408,000 is an even composite number composed of seven prime numbers multiplied together.
135399945408000 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 135399945408000:
29 × 3 × 53 × 72 × 13 × 37 × 29921
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 37 × 29921)See below for interesting mathematical facts about the number 135399945408000 from the Numbermatics database.
Names of 135399945408000
- Cardinal: 135399945408000 can be written as One hundred thirty-five trillion, three hundred ninety-nine billion, nine hundred forty-five million, four hundred eight thousand.
Scientific notation
- Scientific notation: 1.35399945408 × 1014
Factors of 135399945408000
Divisors of 135399945408000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 37 39 40 42 48 49 50 52 56 60 64 65 70 74 75 78 80 84 91 96 98 100 104 105 111 112 120 125 128 130 140 147 148 150 156 160 168 175 182 185 192 195 196 200 208 210 222 224 240 245 250 256 259 260 273 280 294 296 300 312 320 325 336 350 364 370 375 384 390 392 400 416 420 444 448 455 480 481 490 500 512 518 520 525 546 555 560 588 592 600 624 637 640 650 672 700 728 735 740 750 768 777 780 784 800 832 840 875 888 896 910 925 960 962 975 980 1000 1036 1040 1050 1092 1110 1120 1176 1184 1200 1225 1248 1274 1280 1295 1300 1344 1365 1400 1443 1456 1470 1480 1500 1536 1554 1560 1568 1600 1625 1664 1680 1750 1776 1792 1813 1820 1850 1911 1920 1924 1950 1960 2000 2072 2080 2100 2184 2220 2240 2275 2352 2368 2400 2405 2450 2496 2548 2560 2590 2600 2625 2688 2730 2775 2800 2886 2912 2940 2960 3000 3108 3120 3136 3185 3200 3250 3328 3360 3367 3500 3552 3584 3626 3640 3675 3700 3822 3840 3848 3885 3900 3920 4000 4144 4160 4200 4368 4440 4480 4550 4625 4704 4736 4800 4810 4875 4900 4992 5096 5180 5200 5250 5376 5439 5460 5550 5600 5772 5824 5880 5920 6000 6125 6216 6240 6272 6370 6400 6475 6500 6656 6720 6734 6825 7000 7104 7215 7252 7280 7350 7400 7644 7680 7696 7770 7800 7840 8000 8288 8320 8400 8736 8880 8960 9065 9100 9250 9408 9472 9555 9600 9620 9750 9800 9984 10101 10192 10360 10400 10500 10752 10878 10920 11100 11200 11375 11544 11648 11760 11840 12000 12025 12250 12432 12480 12544 12740 12800 12950 13000 13440 13468 13650 13875 14000 14208 14430 14504 14560 14700 14800 15288 15392 15540 15600 15680 15925 16000 16576 16640 16800 16835 17472 17760 17920 18130 18200 18375 18500 18816 18944 19110 19200 19240 19425 19500 19600 19968 20202 20384 20720 20800 21000 21756 21840 22200 22400 22750 23088 23296 23520 23569 23680 24000 24050 24500 24864 24960 25088 25480 25900 26000 26880 26936 27195 27300 27750 28000 28416 28860 29008 29120 29400 29600 29921 30576 30784 31080 31200 31360 31850 32000 32375 33152 33280 33600 33670 34125 34944 35520 36075 36260 36400 36750 37000 37632 38220 38400 38480 38850 39000 39200 40404 40768 41440 41600 42000 43512 43680 44400 44800 45325 45500 46176 46592 47040 47138 47360 47775 48000 48100 49000 49728 49920 50505 50960 51800 52000 53760 53872 54390 54600 55500 56000 56832 57720 58016 58240 58800 59200 59842 60125 61152 61568 62160 62400 62720 63700 64000 64750 66304 67200 67340 68250 69888 70707 71040 72150 72520 72800 73500 74000 75264 76440 76960 77700 78000 78400 79625 80808 81536 82880 83200 84000 84175 87024 87360 88800 89600 89763 90650 91000 92352 94080 94276 94720 95550 96000 96200 97125 98000 99456 99840 101010 101920 103600 104000 107744 108780 109200 111000 112000 115440 116032 116480 117600 117845 118400 119684 120250 122304 123136 124320 124800 125440 127400 129500 132608 134400 134680 135975 136500 139776 141414 142080 144300 145040 145600 147000 148000 149605 152880 153920 155400 156000 156800 159250 161616 163072 165760 166400 168000 168350 174048 174720 177600 179526 180375 181300 182000 184704 188160 188552 191100 192000 192400 194250 196000 198912 202020 203840 207200 208000 209447 215488 217560 218400 222000 224000 226625 230880 232064 232960 235200 235690 236800 238875 239368 240500 244608 246272 248640 249600 252525 254800 259000 268800 269360 271950 273000 282828 284160 288600 290080 291200 294000 296000 299210 305760 307840 310800 312000 313600 318500 323232 326144 331520 336000 336700 348096 349440 353535 355200 359052 360750 362600 364000 369408 376320 377104 382200 384800 388500 388973 392000 397824 404040 407680 414400 416000 418894 420875 430976 435120 436800 444000 448000 448815 453250 461760 464128 470400 471380 473600 477750 478736 481000 489216 497280 499200 505050 509600 518000 538720 543900 546000 565656 577200 580160 582400 588000 589225 592000 598420 611520 615680 621600 624000 627200 628341 637000 646464 663040 672000 673400 679875 696192 698880 707070 710400 718104 721500 725200 728000 738816 748025 754208 764400 769600 777000 777946 784000 808080 815360 828800 832000 837788 841750 861952 870240 873600 888000 897630 906500 923520 928256 940800 942760 955500 957472 962000 978432 994560 1010100 1019200 1036000 1047235 1077440 1087800 1092000 1107077 1131312 1154400 1160320 1164800 1166919 1176000 1178450 1184000 1196840 1223040 1231360 1243200 1248000 1256682 1262625 1274000 1292928 1344000 1346800 1359750 1392384 1414140 1420800 1436208 1443000 1450400 1456000 1466129 1496050 1508416 1528800 1539200 1554000 1555892 1568000 1616160 1630720 1657600 1675576 1683500 1723904 1740480 1747200 1767675 1776000 1795260 1813000 1847040 1881600 1885520 1911000 1914944 1924000 1944865 1989120 2020200 2038400 2072000 2094470 2154880 2175600 2184000 2214154 2244075 2262624 2308800 2320640 2333838 2352000 2356900 2368000 2393680 2446080 2486400 2496000 2513364 2525250 2548000 2585856 2693600 2719500 2722811 2784768 2828280 2872416 2886000 2900800 2912000 2932258 2946125 2992100 3016832 3057600 3078400 3108000 3111784 3136000 3141705 3232320 3315200 3321231 3351152 3367000 3480960 3494400 3535350 3552000 3590520 3626000 3694080 3740125 3771040 3822000 3829888 3848000 3889730 4040400 4076800 4144000 4188940 4309760 4351200 4368000 4398387 4428308 4488150 4525248 4617600 4641280 4667676 4704000 4713800 4787360 4892160 4972800 5026728 5050500 5096000 5171712 5236175 5387200 5439000 5445622 5535385 5656560 5744832 5772000 5801600 5824000 5834595 5864516 5892250 5984200 6033664 6115200 6156800 6216000 6223568 6283410 6464640 6642462 6702304 6734000 6961920 7070700 7104000 7181040 7252000 7330645 7480250 7542080 7644000 7659776 7696000 7749539 7779460 8080800 8153600 8168433 8288000 8377880 8619520 8702400 8736000 8796774 8838375 8856616 8976300 9050496 9235200 9335352 9408000 9427600 9574720 9724325 9945600 10053456 10101000 10192000 10472350 10774400 10878000 10891244 11070770 11220375 11313120 11489664 11544000 11603200 11669190 11729032 11784500 11968400 12067328 12230400 12432000 12447136 12566820 12929280 13284924 13404608 13468000 13614055 13923840 14141400 14362080 14392001 14504000 14661290 14960500 15084160 15288000 15319552 15392000 15499078 15558920 15708525 16161600 16336866 16576000 16606155 16755760 17404800 17472000 17593548 17676750 17713232 17952600 18100992 18470400 18670704 18855200 19059677 19149440 19448650 20106912 20202000 20384000 20944700 21548800 21756000 21782488 21991935 22141540 22440750 22626240 22979328 23088000 23206400 23248617 23338380 23458064 23569000 23936800 24460800 24864000 24894272 25133640 25858560 26180875 26569848 26809216 26936000 27228110 27676925 28282800 28724160 28784002 29008000 29172975 29322580 29921000 30168320 30576000 30784000 30998156 31117840 31417050 32323200 32673732 33212310 33511520 34809600 35187096 35353500 35426464 35905200 36201984 36653225 37341408 37710400 38119354 38298880 38747695 38897300 40213824 40404000 40768000 40842165 41889400 43097600 43176003 43512000 43564976 43983870 44283080 44881500 45252480 45958656 46176000 46497234 46676760 46916128 47138000 47873600 48621625 49728000 49788544 50267280 52361750 53139696 53618432 53872000 54246773 54456220 55353850 56565600 57179031 57448320 57568004 58016000 58345950 58645160 59842000 60336640 61152000 61996312 62235680 62834100 64646400 65347464 66424620 67023040 68070275 69619200 70374192 70707000 70852928 71810400 71960005 73306450 74682816 75420800 76238708 76597760 77495390 77794600 78542625 80427648 80808000 81684330 83030775 83778800 86352006 87024000 87129952 87967740 88566160 89763000 90504960 92352000 92994468 93353520 93832256 94276000 95298385 95747200 97243250 99577088 100534560 100744007 104723500 106279392 107236864 107744000 108493546 108912440 109959675 110707700 113131200 114358062 114896640 115136008 116032000 116243085 116691900 117290320 119684000 122304000 123992624 124471360 125668200 129292800 130694928 132849240 134046080 136140550 138384625 140748384 141414000 141705856 143620800 143920010 145864875 146612900 149365632 150841600 152477416 154990780 155589200 157085250 160855296 161616000 162740319 163368660 166061550 167557600 172704012 174048000 174259904 175935480 177132320 179526000 181009920 183266125 185988936 186707040 187664512 188552000 190596770 191494400 193738475 194486500 199154176 201069120 201488014 204210825 209447000 212558784 215488000 215880015 216987092 217824880 219919350 221415400 226262400 228716124 229793280 230272016 232486170 233383800 234580640 239368000 247985248 248942720 251336400 261389856 265698480 268092160 271233865 272281100 276769250 281496768 282828000 283411712 285895155 287241600 287840020 291729750 293225800 298731264 301683200 302232021 304954832 309981560 311178400 314170500 321710592 323232000 325480638 326737320 332123100 335115200 340351375 345408024 348096000 348519808 351870960 354264640 359052000 359800025 366532250 371977872 373414080 375329024 377104000 381193540 382988800 387476950 388973000 402138240 402976028 408421650 415153875 418894000 425117568 431760030 433974184 435649760 439838700 442830800 452524800 457432248 460544032 464972340 466767600 469161280 476491925 478736000 495970496 497885440 502672800 503720035 522779712 531396960 536184320 542467730 544562200 549798375 553538500 562993536 565656000 566823424 571790310 574483200 575680040 581215425 583459500 586451600 597462528 604464042 609909664 619963120 622356800 628341000 646464000 650961276 653474640 664246200 670230400 680702750 690816048 697039616 703741920 705208049 708529280 718104000 719600050 733064500 743955744 746828160 750658048 754208000 762387080 774953900 777946000 804276480 805952056 813701595 816843300 830307750 837788000 850235136 863520060 867948368 871299520 879677400 885661600 905049600 914864496 921088064 929944680 933535200 938322560 952983850 957472000 968692375 991940992 995770880 1005345600 1007440070 1021054125 1045559424 1062793920 1079400075 1084935460 1089124400 1099596750 1107077000 1125987072 1131312000 1143580620 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2878400200 2906077125 2932258000 2975822976 2987312640 3022320210 3049548320 3099815600 3111784000 3223808224 3254806380 3267373200 3321231000 3351152000 3454080240 3471793472 3485198080 3518709600 3526040245 3542646400 3598000250 3659457984 3684352256 3719778720 3734140800 3753290240 3811935400 3874769500 3967763968 4021382400 4029760280 4068507975 4084216500 4182237696 4231248294 4251175680 4317600300 4339741840 4356497600 4398387000 4428308000 4525248000 4574322480 4605440320 4649723400 4667676000 4691612800 4764919250 4835712336 4879277312 4959704960 4978854400 5026728000 5037200350 5207690208 5227797120 5313969600 5397000375 5424677300 5445622000 5526528384 5629935360 5641664392 5717903100 5744832000 5756800400 5812154250 5864516000 5951645952 6044640420 6099096640 6199631200 6223568000 6447616448 6509612760 6534746400 6642462000 6702304000 6780846625 6908160480 6943586944 6970396160 7037419200 7052080490 7085292800 7147378875 7196000500 7318915968 7368704512 7439557440 7468281600 7555800525 7623870800 7749539000 8042764800 8059520560 8137015950 8168433000 8462496588 8502351360 8635200600 8679483680 8712995200 8796774000 8856616000 9148644960 9210880640 9299446800 9335352000 9383225600 9529838500 9671424672 9758554624 9919409920 10053456000 10074400700 10415380416 10455594240 10578120735 10627939200 10794000750 10849354600 10891244000 11053056768 11259870720 11283328784 11435806200 11513600800 11624308500 11729032000 11903291904 12089280840 12198193280 12399262400 12447136000 12593000875 12895232896 13019225520 13069492800 13284924000 13404608000 13561693250 13816320960 13887173888 14074838400 14104160980 14170585600 14294757750 14392001000 14637831936 14879114880 14936563200 15111601050 15247741600 15499078000 16119041120 16274031900 16336866000 16924993176 17270401200 17358967360 17425990400 17593548000 17630201225 17713232000 18297289920 18421761280 18598893600 18670704000 18766451200 19059677000 19342849344 19838819840 20106912000 20148801400 20342539875 20830760832 20911188480 21156241470 21255878400 21588001500 21698709200 21782488000 22106113536 22566657568 22871612400 23027201600 23248617000 23458064000 24178561680 24396386560 24798524800 24894272000 25186001750 25790465792 26038451040 26138985600 26569848000 27123386500 27632641920 27774347776 28149676800 28208321960 28589515500 28784002000 29275663872 29758229760 30223202100 30495483200 30998156000 32238082240 32548063800 32673732000 33849986352 34540802400 34717934720 34851980800 35187096000 35260402450 35426464000 36594579840 36843522560 37197787200 37341408000 37779002625 38119354000 38685698688 40213824000 40297602800 40685079750 41661521664 42312482940 42511756800 43176003000 43397418400 43564976000 45133315136 45743224800 46054403200 46497234000 46916128000 48357123360 48792773120 49597049600 50372003500 51580931584 52076902080 52277971200 52890603675 53139696000 54246773000 55265283840 56299353600 56416643920 57179031000 57568004000 59516459520 60446404200 60990966400 61996312000 64476164480 65096127600 65347464000 67699972704 69081604800 69435869440 70374192000 70520804900 70852928000 73189159680 74395574400 74682816000 75558005250 76238708000 77371397376 80595205600 81370159500 83323043328 84624965880 86352006000 86794836800 87129952000 88151006125 90266630272 91486449600 92108806400 92994468000 93832256000 96714246720 99194099200 100744007000 104153804160 104555942400 105781207350 106279392000 108493546000 110530567680 112833287840 114358062000 115136008000 120892808400 121981932800 123992624000 128952328960 130192255200 130694928000 135399945408 138163209600 138871738880 140748384000 141041609800 146378319360 148791148800 151116010500 152477416000 154742794752 161190411200 162740319000 169249931760 172704012000 173589673600 174259904000 176302012250 180533260544 182972899200 184217612800 185988936000 193428493440 201488014000 208307608320 211562414700 212558784000 216987092000 225666575680 228716124000 230272016000 241785616800 243963865600 247985248000 257904657920 260384510400 261389856000 264453018375 270799890816 276326419200 281496768000 282083219600 297582297600 302232021000 304954832000 322380822400 325480638000 338499863520 345408024000 347179347200 352604024500 361066521088 365945798400 371977872000 386856986880 402976028000 416615216640 423124829400 433974184000 451333151360 457432248000 460544032000 483571233600 495970496000 520769020800 522779712000 528906036750 541599781632 552652838400 564166439200 604464042000 609909664000 644761644800 650961276000 676999727040 690816048000 694358694400 705208049000 731891596800 743955744000 773713973760 805952056000 846249658800 867948368000 902666302720 914864496000 921088064000 967142467200 1041538041600 1057812073500 1083199563264 1128332878400 1208928084000 1219819328000 1289523289600 1301922552000 1353999454080 1381632096000 1410416098000 1487911488000 1611904112000 1692499317600 1735896736000 1805332605440 1829728992000 1934284934400 2083076083200 2115624147000 2256665756800 2417856168000 2603845104000 2707998908160 2763264192000 2820832196000 3223808224000 3384998635200 3471793472000 3659457984000 3868569868800 4231248294000 4513331513600 4835712336000 5207690208000 5415997816320 5641664392000 6447616448000 6769997270400 8462496588000 9026663027200 9671424672000 10415380416000 11283328784000 13539994540800 16924993176000 19342849344000 22566657568000 27079989081600 33849986352000 45133315136000 67699972704000 135399945408000
- Sum of all divisors σ(n): 579211705328256
- Sum of proper divisors (its aliquot sum) s(n): 443811759920256
- 135399945408000 is an abundant number, because the sum of its proper divisors (443811759920256) is greater than itself. Its abundance is 308411814512256
Bases of 135399945408000
- Binary: 111101100100101010000011010011000001110000000002
- Hexadecimal: 0x7B2541A60E00
- Base-36: 1BZTVJKMIO
Squares and roots of 135399945408000
- 135399945408000 squared (1353999454080002) is 18333145216489380286464000000
- 135399945408000 cubed (1353999454080003) is 2482306861469598432198977001357312000000000
-
The
square root of 135399945408000 is 11636148.2204378955 -
The
cube root of 135399945408000 is 51349.8874947719
Scales and comparisons
How big is 135399945408000?- 135,399,945,408,000 seconds is equal to 4,305,299 years, 23 weeks, 18 hours, 40 minutes.
-
To count from 1 to 135,399,945,408,000 would take you about ten million, seven hundred sixty-three thousand, two hundred forty-eight 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 135399945408000 cubic inches would be around 4279.2 feet tall.
Recreational maths with 135399945408000
- 135399945408000 backwards is 000804549993531
- 135399945408000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135399945408000's digits is 60
- More coming soon!
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The information we have on file for 135399945408000 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!
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