107434742272000
107,434,742,272,000 is an even composite number composed of six prime numbers multiplied together.
107434742272000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 107434742272000:
212 × 53 × 113 × 13 × 67 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 13 × 67 × 181)See below for interesting mathematical facts about the number 107434742272000 from the Numbermatics database.
Names of 107434742272000
- Cardinal: 107434742272000 can be written as One hundred seven trillion, four hundred thirty-four billion, seven hundred forty-two million, two hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.07434742272 × 1014
Factors of 107434742272000
Divisors of 107434742272000
- Number of divisors d(n): 1664
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 64 65 67 80 88 100 104 110 121 125 128 130 134 143 160 176 181 200 208 220 242 250 256 260 268 275 286 320 325 335 352 362 400 416 440 484 500 512 520 536 550 572 605 640 650 670 704 715 724 737 800 832 871 880 905 968 1000 1024 1040 1072 1100 1144 1210 1280 1300 1331 1340 1375 1408 1430 1448 1474 1573 1600 1625 1664 1675 1742 1760 1810 1936 1991 2000 2048 2080 2144 2200 2288 2353 2420 2560 2600 2662 2680 2750 2816 2860 2896 2948 3025 3146 3200 3250 3328 3350 3484 3520 3575 3620 3685 3872 3982 4000 4096 4160 4288 4355 4400 4525 4576 4706 4840 5120 5200 5324 5360 5500 5632 5720 5792 5896 6050 6292 6400 6500 6655 6656 6700 6968 7040 7150 7240 7370 7744 7865 7964 8000 8107 8320 8375 8576 8710 8800 9050 9152 9412 9581 9680 9955 10240 10400 10648 10720 11000 11264 11440 11584 11765 11792 12100 12127 12584 12800 13000 13310 13312 13400 13936 14080 14300 14480 14740 15125 15488 15730 15928 16000 16214 16640 16750 17152 17303 17420 17600 17875 18100 18304 18425 18824 19162 19360 19910 20480 20800 21296 21440 21775 21901 22000 22528 22625 22880 23168 23530 23584 24200 24254 25168 25600 25883 26000 26620 26624 26800 27872 28160 28600 28960 29480 30250 30976 31460 31856 32000 32428 33275 33280 33500 34304 34606 34840 35200 35750 36200 36608 36850 37648 38324 38720 39325 39820 40535 41600 42592 42880 43550 43802 44000 45056 45250 45760 46336 47060 47168 47905 48400 48508 49775 50336 51200 51766 52000 53240 53248 53600 55744 56320 57200 57920 58825 58960 60500 60635 61952 62920 63712 64000 64856 66550 66560 67000 68608 69212 69680 70400 71500 72400 73216 73700 75296 76648 77440 78650 79640 81070 83200 85184 85760 86515 87100 87604 88000 89177 90500 91520 92125 92672 94120 94336 95810 96800 97016 99550 100672 102400 103532 104000 105391 106480 107200 108875 109505 111488 112640 114400 115840 117650 117920 121000 121270 123904 125840 127424 128000 129415 129712 133100 133120 133397 134000 137216 138424 139360 140800 143000 144800 146432 147400 150592 153296 154880 157300 157651 159280 162140 166375 166400 170368 171520 173030 174200 175208 176000 178354 181000 183040 184250 185344 188240 188672 191620 193600 194032 196625 199100 201344 202675 207064 208000 210782 212960 214400 217750 219010 222976 225280 228800 231680 235300 235840 239525 240911 242000 242540 247808 248875 251680 254848 256000 258830 259424 266200 266240 266794 268000 274432 276848 278720 281600 284713 286000 289600 292864 294125 294800 301184 303175 306592 309760 314600 315302 318560 324280 332750 332800 340736 343040 346060 348400 350416 352000 356708 362000 366080 368500 370688 376480 377344 383240 387200 388064 393250 398200 402688 405350 414128 416000 421564 425920 428800 432575 435500 438020 445885 445952 457600 463360 470600 471680 479050 481822 484000 485080 495616 497750 503360 509696 512000 517660 518848 526955 532400 533588 536000 547525 553696 557440 563200 569426 572000 579200 585728 588250 589600 602368 606350 613184 619520 629200 630604 637120 647075 648560 665500 665600 666985 681472 686080 692120 696800 700832 704000 713416 724000 732160 737000 741376 752960 754688 766480 774400 776128 786500 788255 796400 805376 810700 828256 832000 843128 851840 857600 865150 871000 876040 891770 891904 915200 926720 941200 943360 958100 963644 968000 970160 995500 1006720 1013375 1019392 1035320 1037696 1053910 1064800 1067176 1072000 1095050 1107392 1114880 1126400 1138852 1144000 1158400 1159301 1176500 1179200 1197625 1204555 1204736 1212700 1226368 1239040 1258400 1261208 1274240 1294150 1297120 1331000 1331200 1333970 1362944 1372160 1384240 1393600 1401664 1408000 1423565 1426832 1448000 1464320 1467367 1474000 1505920 1509376 1515875 1532960 1548800 1552256 1573000 1576510 1592800 1610752 1621400 1656512 1664000 1686256 1703680 1715200 1730300 1734161 1742000 1752080 1783540 1783808 1830400 1853440 1882400 1886720 1916200 1927288 1936000 1940320 1991000 2013440 2026750 2038784 2070640 2075392 2107820 2129600 2134352 2144000 2162875 2190100 2214784 2229425 2229760 2277704 2288000 2316800 2318602 2353000 2358400 2395250 2409110 2409472 2425400 2452736 2478080 2516800 2522416 2548480 2588300 2594240 2634775 2662000 2667940 2725888 2737625 2768480 2787200 2803328 2816000 2847130 2853664 2896000 2928640 2934734 2948000 3011840 3018752 3031750 3065920 3097600 3104512 3131843 3146000 3153020 3185600 3221504 3235375 3242800 3313024 3328000 3334925 3372512 3407360 3430400 3460600 3468322 3484000 3504160 3567080 3567616 3660800 3706880 3764800 3773440 3832400 3854576 3872000 3880640 3941275 3982000 4026880 4053500 4077568 4141280 4150784 4215640 4259200 4268704 4288000 4325750 4380200 4429568 4458850 4459520 4555408 4576000 4633600 4637204 4706000 4716800 4790500 4818220 4818944 4850800 4905472 5033600 5044832 5096960 5176600 5188480 5269550 5324000 5335880 5451776 5475250 5536960 5574400 5606656 5632000 5694260 5707328 5792000 5796505 5869468 5896000 6022775 6023680 6063500 6131840 6195200 6209024 6263686 6292000 6306040 6371200 6443008 6470750 6485600 6626048 6656000 6669850 6745024 6814720 6860800 6921200 6936644 6968000 7008320 7117825 7134160 7321600 7336835 7529600 7546880 7664800 7709152 7744000 7761280 7882550 7964000 8053760 8107000 8155136 8282560 8301568 8431280 8518400 8537408 8576000 8651500 8670805 8760400 8859136 8917700 8919040 9110816 9152000 9267200 9274408 9412000 9433600 9581000 9636440 9637888 9701600 9810944 10067200 10089664 10193920 10353200 10376960 10539100 10648000 10671760 10950500 11073920 11147125 11148800 11213312 11388520 11414656 11584000 11593010 11738936 11792000 12045550 12047360 12127000 12263680 12390400 12418048 12527372 12584000 12612080 12742400 12941500 12971200 13173875 13252096 13339700 13490048 13629440 13842400 13873288 13936000 14016640 14235650 14268320 14643200 14673670 15059200 15093760 15329600 15418304 15488000 15522560 15659215 15765100 15928000 16107520 16141037 16214000 16565120 16603136 16674625 16862560 17036800 17074816 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44595200 44853248 45554080 45658624 46336000 46372040 46955744 47168000 48182200 48189440 48508000 49054720 49672192 50109488 50336000 50448320 50969600 51766000 51884800 52695500 53008384 53358800 53960192 55369600 55493152 55744000 56066560 56942600 57073280 57965050 58694680 60227750 60236800 61318400 61673216 61952000 62090240 62636860 63060400 63712000 64564148 64856000 66260480 66698500 67450240 68147200 68299264 69212000 69366440 70083200 70873088 71178250 71341600 72886528 73216000 73368350 74195264 75296000 75468800 76303084 76648000 77091520 77612800 78296075 78825500 80537600 80705185 80717312 82825600 83015680 84312800 85184000 85374080 86708050 87604000 88591360 89177000 89190400 89706496 91108160 91317248 92672000 92744080 93911488 94336000 95378855 96364400 97016000 98109440 100218976 100672000 100896640 101939200 103532000 103769600 105391000 106016768 106717600 107920384 110739200 110986304 111488000 112133120 113885200 114146560 115930100 117389360 120455500 120473600 122636800 123346432 124180480 125273720 126120800 127424000 129128296 129712000 132520960 133397000 134900480 136294400 136598528 138424000 138732880 140166400 142356500 142683200 144912625 145773056 146736700 148390528 150592000 152606168 153296000 154183040 155225600 156592150 157651000 161075200 161410370 161434624 165651200 166031360 168625600 170368000 170748160 173416100 175208000 177182720 178354000 182216320 182634496 183420875 185488160 187822976 188672000 190757710 192728800 194032000 196218880 200437952 201344000 201793280 203878400 207064000 207539200 209833481 210782000 213435200 215840768 216770125 221478400 221972608 222976000 224266240 227770400 228293120 231860200 234778720 240911000 240947200 245273600 246692864 248360960 250547440 252241600 254848000 258256592 259424000 265041920 266794000 269800960 273197056 276848000 277465760 280332800 284713000 285366400 289825250 291546112 293473400 296781056 301184000 305212336 306592000 308366080 310451200 313184300 315302000 322820740 322869248 331302400 337251200 340736000 341496320 346832200 350416000 354365440 356708000 364432640 365268992 366841750 370976320 375645952 377344000 381515420 385457600 388064000 391480375 400875904 402688000 403525925 403586560 414128000 415078400 419666962 421564000 426870400 431681536 433540250 442956800 443945216 445952000 448532480 455540800 456586240 463720400 469557440 476894275 481822000 490547200 493385728 501094880 504483200 509696000 516513184 518848000 530083840 533588000 539601920 546394112 553696000 554931520 560665600 569426000 570732800 579650500 583092224 586946800 593562112 602368000 610424672 613184000 616732160 620902400 626368600 630604000 645641480 645738496 662604800 674502400 681472000 682992640 693664400 700832000 713416000 728865280 733683500 741952640 751291904 763030840 770915200 776128000 782960750 801751808 805376000 807051850 807173120 828256000 830156800 839333924 843128000 853740800 867080500 885913600 887890432 911081600 913172480 927440800 939114880 953788550 963644000 981094400 986771456 1002189760 1008966400 1019392000 1033026368 1037696000 1049167405 1067176000 1079203840 1107392000 1109863040 1121331200 1138852000 1141465600 1159301000 1166184448 1173893600 1187124224 1204736000 1220849344 1226368000 1233464320 1241804800 1252737200 1261208000 1291282960 1325209600 1349004800 1365985280 1387328800 1401664000 1426832000 1457730560 1467367000 1483905280 1502583808 1526061680 1541830400 1552256000 1565921500 1603503616 1614103700 1614346240 1656512000 1678667848 1686256000 1707481600 1734161000 1771827200 1775780864 1822163200 1826344960 1854881600 1878229760 1907577100 1927288000 2004379520 2017629625 2017932800 2066052736 2075392000 2098334810 2134352000 2158407680 2214784000 2219726080 2242662400 2277704000 2282931200 2318602000 2347787200 2374248448 2384471375 2441698688 2452736000 2466928640 2505474400 2522416000 2582565920 2650419200 2698009600 2731970560 2774657600 2803328000 2853664000 2915461120 2934734000 2967810560 3005167616 3052123360 3083660800 3104512000 3131843000 3207007232 3228207400 3228692480 3313024000 3357335696 3372512000 3414963200 3468322000 3551561728 3644326400 3709763200 3756459520 3815154200 3854576000 4008759040 4035259250 4035865600 4132105472 4150784000 4196669620 4268704000 4429568000 4439452160 4555408000 4565862400 4637204000 4695574400 4748496896 4768942750 4883397376 4905472000 4933857280 5010948800 5044832000 5165131840 5245837025 5396019200 5549315200 5606656000 5707328000 5830922240 5869468000 5935621120 6010335232 6104246720 6167321600 6209024000 6263686000 6414014464 6456414800 6626048000 6714671392 6745024000 6829926400 6936644000 7103123456 7288652800 7419526400 7512919040 7630308400 7709152000 8017518080 8070518500 8071731200 8264210944 8393339240 8537408000 8859136000 8878904320 9110816000 9131724800 9274408000 9391148800 9537885500 9766794752 10021897600 10089664000 10330263680 10491674050 10792038400 11098630400 11213312000 11414656000 11738936000 11871242240 12208493440 12334643200 12527372000 12828028928 12912829600 13252096000 13429342784 13490048000 13659852800 13873288000 14577305600 14839052800 15025838080 15260616800 15418304000 16035036160 16141037000 16143462400 16528421888 16786678480 17074816000 17757808640 18221632000 18548816000 18782297600 19075771000 19533589504 20043795200 20179328000 20660527360 20983348100 22197260800 22829312000 23477872000 23742484480 24416986880 24669286400 25054744000 25825659200 26229185125 26858685568 26980096000 27746576000 29154611200 29678105600 30051676160 30521233600 30836608000 32070072320 32282074000 33056843776 33573356960 34149632000 35515617280 36443264000 37097632000 37564595200 38151542000 39067179008 40087590400 40358656000 41321054720 41966696200 44394521600 45658624000 46955744000 48833973760 50109488000 51651318400 52458370250 53717371136 53960192000 55493152000 59356211200 61042467200 61673216000 64140144640 64564148000 66113687552 67146713920 68299264000 72886528000 74195264000 75129190400 76303084000 78134358016 80175180800 80717312000 82642109440 83933392400 88789043200 93911488000 97667947520 100218976000 103302636800 104916740500 107434742272 110986304000 118712422400 122084934400 123346432000 129128296000 134293427840 145773056000 148390528000 150258380800 152606168000 160350361600 165284218880 167866784800 177578086400 187822976000 195335895040 200437952000 206605273600 209833481000 214869484544 221972608000 244169868800 258256592000 268586855680 296781056000 305212336000 320700723200 330568437760 335733569600 375645952000 390671790080 400875904000 413210547200 419666962000 429738969088 443945216000 488339737600 516513184000 537173711360 593562112000 610424672000 671467139200 751291904000 801751808000 826421094400 839333924000 859477938176 887890432000 976679475200 1033026368000 1074347422720 1220849344000 1342934278400 1603503616000 1652842188800 1678667848000 1953358950400 2066052736000 2148694845440 2441698688000 2685868556800 3357335696000 4132105472000 4297389690880 4883397376000 5371737113600 6714671392000 8264210944000 9766794752000 10743474227200 13429342784000 21486948454400 26858685568000 53717371136000 107434742272000
- Sum of all divisors σ(n): 324123811554816
- Sum of proper divisors (its aliquot sum) s(n): 216689069282816
- 107434742272000 is an abundant number, because the sum of its proper divisors (216689069282816) is greater than itself. Its abundance is 109254327010816
Bases of 107434742272000
- Binary: 110000110110110000110011010011001010000000000002
- Hexadecimal: 0x61B619A65000
- Base-36: 122YU7NZ0G
Squares and roots of 107434742272000
- 107434742272000 squared (1074347422720002) is 11542223847051063721984000000
- 107434742272000 cubed (1074347422720003) is 1240035844253663378194800100507648000000000
-
The
square root of 107434742272000 is 10365073.1918303403 -
The
cube root of 107434742272000 is 47538.8037152041
Scales and comparisons
How big is 107434742272000?- 107,434,742,272,000 seconds is equal to 3,416,092 years, 25 weeks, 2 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 107,434,742,272,000 would take you about eight million, five hundred forty thousand, two hundred thirty-one 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 107434742272000 cubic inches would be around 3961.6 feet tall.
Recreational maths with 107434742272000
- 107434742272000 backwards is 000272247434701
- The number of decimal digits it has is: 15
- The sum of 107434742272000's digits is 43
- More coming soon!
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The information we have on file for 107434742272000 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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