31412542624117990400
31,412,542,624,117,990,400 is an even composite number composed of six prime numbers multiplied together.
31412542624117990400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 31412542624117990400:
210 × 52 × 13 × 19 × 1133 × 1513
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 19 × 113 × 113 × 113 × 151 × 151 × 151)See below for interesting mathematical facts about the number 31412542624117990400 from the Numbermatics database.
Names of 31412542624117990400
- Cardinal: 31412542624117990400 can be written as Thirty-one quintillion, four hundred twelve quadrillion, five hundred forty-two trillion, six hundred twenty-four billion, one hundred seventeen million, nine hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 3.14125426241179904 × 1019
Factors of 31412542624117990400
Divisors of 31412542624117990400
- Number of divisors d(n): 2112
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Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 64 65 76 80 95 100 104 113 128 130 151 152 160 190 200 208 226 247 256 260 302 304 320 325 380 400 416 452 475 494 512 520 565 604 608 640 650 755 760 800 832 904 950 988 1024 1040 1130 1208 1216 1235 1280 1300 1469 1510 1520 1600 1664 1808 1900 1963 1976 2080 2147 2260 2416 2432 2470 2560 2600 2825 2869 2938 3020 3040 3200 3328 3616 3775 3800 3926 3952 4160 4294 4520 4832 4864 4940 5120 5200 5650 5738 5876 6040 6080 6175 6400 6656 7232 7345 7550 7600 7852 7904 8320 8588 9040 9664 9728 9815 9880 10400 10735 11300 11476 11752 12080 12160 12350 12769 12800 13312 14345 14464 14690 15100 15200 15704 15808 16640 17063 17176 18080 19328 19456 19630 19760 20800 21470 22600 22801 22952 23504 24160 24320 24700 25538 25600 27911 28690 28928 29380 30200 30400 31408 31616 33280 34126 34352 36160 36725 37297 38656 39260 39520 41600 42940 45200 45602 45904 47008 48320 48640 49075 49400 51076 53675 55822 57380 57856 58760 60400 60800 62816 63232 63845 66560 68252 68704 71725 72320 73450 74594 77312 78520 79040 83200 85315 85880 90400 91204 91808 94016 96640 97280 98150 98800 102152 107350 111644 114005 114760 115712 117520 120800 121600 125632 126464 127690 136504 137408 139555 143450 144640 146900 149188 154624 157040 158080 165997 166400 170630 171760 180800 182408 183616 186485 188032 193280 196300 197600 204304 214700 221819 223288 228010 229520 235040 241600 242611 243200 251264 252928 255380 273008 274816 279110 286900 289280 293800 296413 298376 314080 316160 319225 324197 331994 332800 341260 343520 361600 364816 367232 372970 376064 386560 392600 395200 408608 426575 429400 433219 443638 446576 456020 459040 470080 483200 485222 486400 502528 510760 546016 549632 558220 570025 573800 578560 587600 592826 596752 628160 632320 638450 648394 663988 682520 687040 697775 723200 729632 734464 745940 752128 773120 785200 790400 817216 829985 853150 858800 866438 887276 893152 912040 918080 932425 940160 966400 970444 1005056 1021520 1092032 1099264 1109095 1116440 1140050 1147600 1175200 1185652 1193504 1213055 1256320 1264640 1276900 1296788 1327976 1365040 1374080 1395550 1442897 1446400 1459264 1468928 1482065 1491880 1504256 1570400 1580800 1620985 1634432 1659970 1706300 1717600 1732876 1774552 1786304 1824080 1836160 1864850 1880320 1928119 1932800 1940888 2010112 2043040 2166095 2184064 2198528 2218190 2232880 2280100 2295200 2350400 2371304 2387008 2426110 2512640 2553800 2576513 2593576 2655952 2730080 2748160 2791100 2885794 2892800 2918528 2937856 2964130 2983760 3140800 3153943 3161600 3241970 3268864 3319940 3412600 3435200 3442951 3465752 3549104 3572608 3648160 3672320 3729700 3760640 3856238 3865600 3881776 4086080 4149925 4214561 4332190 4368128 4436380 4465760 4560200 4590400 4700800 4742608 4774016 4852220 5025280 5107600 5153026 5187152 5311904 5460160 5496320 5545475 5582200 5631847 5771588 5837056 5928260 5967520 6065275 6281600 6307886 6323200 6483940 6537728 6639880 6825200 6870400 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96893378483200 98402514289664 99356473380940 100014463270880 105278382390400 105975590220800 106918116487808 108588712057930 109489517686016 112545385776640 114303907429400 115060886948800 123003142862080 124195591726175 125018079088600 129163415395222 129476992486400 130018802252144 133647645609760 136861897107520 137768267287040 140681732220800 141613399321600 146309001509632 153753928577600 158970357409504 160023141233408 162523502815180 167059557012200 168445411824640 171077371384400 172210334108800 173741939292688 182886251887040 184097419118080 188777299423786 189235604403200 198712946761880 200028926541760 203154378518975 210556764780800 213836232975616 217177424115860 218979035372032 225090771553280 228607814858800 230121773897600 246006285724160 248391183452350 250036158177200 258326830790444 260037604504288 267295291219520 271471780144825 273723794215040 275536534574080 281363464441600 292618003019264 307507857155200 317940714819008 320046282466816 322908538488055 325047005630360 334119114024400 342154742768800 344420668217600 347483878585376 365772503774080 368194838236160 377554598847572 397425893523760 400057853083520 406308757037950 421113529561600 427672465951232 434354848231720 437958070744064 457215629717600 460243547795200 471943248559465 492012571448320 496782366904700 500072316354400 516653661580888 520075209008576 534590582439040 542943560289650 547447588430080 562726928883200 585236006038528 615015714310400 635881429638016 640092564933632 645817076976110 650094011260720 668238228048800 684309485537600 688841336435200 694967757170752 731545007548160 755109197695144 794851787047520 800115706167040 812617514075900 842227059123200 855344931902464 868709696463440 914431259435200 920487095590400 943886497118930 993564733809400 1000144632708800 1033307323161776 1040150418017152 1069181164878080 1085887120579300 1094895176860160 1125453857766400 1227052446254609 1230031428620800 1271762859276032 1291634153952220 1300188022521440 1336476456097600 1368618971075200 1377682672870400 1389935514341504 1463090015096320 1510218395390288 1589703574095040 1600231412334080 1614542692440275 1625235028151800 1737419392926880 1828862518870400 1840974191180800 1887772994237860 1987129467618800 2000289265417600 2066614646323552 2080300836034304 2138362329756160 2171774241158600 2189790353720320 2359716242797325 2454104892509218 2460062857241600 2543525718552064 2583268307904440 2600376045042880 2672952912195200 2737237942150400 2779871028683008 2926180030192640 3020436790780576 3179407148190080 3200462824668160 3229085384880550 3250470056303600 3474838785853760 3657725037740800 3775545988475720 3974258935237600 4000578530835200 4133229292647104 4160601672068608 4276724659512320 4343548482317200 4719432485594650 4908209785018436 5087051437104128 5166536615808880 5200752090085760 5345905824390400 5474475884300800 5559742057366016 6040873581561152 6135262231273045 6358814296380160 6458170769761100 6500940112607200 6949677571707520 7315450075481600 7551091976951440 7948517870475200 8001157061670400 8266458585294208 8321203344137216 8687096964634400 9438864971189300 9816419570036872 10333073231617760 10401504180171520 10691811648780800 10948951768601600 11119484114732032 12081747163122304 12270524462546090 12717628592760320 12916341539522200 13001880225214400 13899355143415040 14630900150963200 15102183953902880 15897035740950400 16002314123340800 16532917170588416 17374193929268800 18877729942378600 19632839140073744 20666146463235520 20803008360343040 21383623297561600 24163494326244608 24541048925092180 25435257185520640 25832683079044400 26003760450428800 27798710286830080 30204367907805760 30676311156365225 31794071481900800 33065834341176832 34748387858537600 37755459884757200 39265678280147488 41332292926471040 41606016720686080 48326988652489216 49082097850184360 51665366158088800 52007520900857600 55597420573660160 60408735815611520 61352622312730450 63588142963801600 66131668682353664 69496775717075200 75510919769514400 78531356560294976 82664585852942080 96653977304978432 98164195700368720 103330732316177600 104015041801715200 120817471631223040 122705244625460900 127176285927603200 138993551434150400 151021839539028800 157062713120589952 165329171705884160 196328391400737440 206661464632355200 208030083603430400 241634943262446080 245410489250921800 277987102868300800 302043679078057600 314125426241179904 330658343411768320 392656782801474880 413322929264710400 483269886524892160 490820978501843600 604087358156115200 628250852482359808 785313565602949760 826645858529420800 981641957003687200 1208174716312230400 1256501704964719616 1570627131205899520 1653291717058841600 1963283914007374400 2416349432624460800 3141254262411799040 3926567828014748800 6282508524823598080 7853135656029497600 15706271312058995200 31412542624117990400
- Sum of all divisors σ(n): 89649907484183155200
- Sum of proper divisors (its aliquot sum) s(n): 58237364860065164800
- 31412542624117990400 is an abundant number, because the sum of its proper divisors (58237364860065164800) is greater than itself. Its abundance is 26824822235947174400
Bases of 31412542624117990400
- Binary: 110110011111011111100010100010101111110100101111010100100000000002
- Hexadecimal: 0x1B3EFC515FA5EA400
- Base-36: 6MNOH0V3RW0ZK
Squares and roots of 31412542624117990400
- 31412542624117990400 squared (314125426241179904002) is 986747834112029562314459540934492160000
- 31412542624117990400 cubed (314125426241179904003) is 30996258398300236588997036433997515774812504943755264000000
-
The
square root of 31412542624117990400 is 5604689342.3380738169 -
The
cube root of 31412542624117990400 is 3155254.2735942295
Scales and comparisons
How big is 31412542624117990400?- 31,412,542,624,117,990,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 31,412,542,624,117,990,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 31412542624117990400 cubic inches would be around 262937.9 feet tall.
Recreational maths with 31412542624117990400
- 31412542624117990400 backwards is 00409971142624521413
- 31412542624117990400 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 31412542624117990400's digits is 65
- More coming soon!
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"Number 31412542624117990400 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 31412542624117990400 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/31412542624117990400/
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Numbermatics. 2024. "Number 31412542624117990400 - Facts about the integer". https://numbermatics.com/n/31412542624117990400/
The information we have on file for 31412542624117990400 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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