82157241535990400
82,157,241,535,990,400 is an even composite number composed of seven prime numbers multiplied together.
82157241535990400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 82157241535990400:
27 × 52 × 132 × 37 × 412 × 432 × 1321
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 37 × 41 × 41 × 43 × 43 × 1321)See below for interesting mathematical facts about the number 82157241535990400 from the Numbermatics database.
Names of 82157241535990400
- Cardinal: 82157241535990400 can be written as Eighty-two quadrillion, one hundred fifty-seven trillion, two hundred forty-one billion, five hundred thirty-five million, nine hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 8.21572415359904 × 1016
Factors of 82157241535990400
Divisors of 82157241535990400
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 37 40 41 43 50 52 64 65 74 80 82 86 100 104 128 130 148 160 164 169 172 185 200 205 208 215 260 296 320 325 328 338 344 370 400 410 416 430 481 520 533 559 592 640 650 656 676 688 740 800 820 832 845 860 925 962 1025 1040 1066 1075 1118 1184 1300 1312 1321 1352 1376 1480 1517 1591 1600 1640 1664 1681 1690 1720 1763 1849 1850 1924 2050 2080 2132 2150 2236 2368 2405 2600 2624 2642 2665 2704 2752 2795 2960 3034 3182 3200 3280 3362 3380 3440 3526 3698 3700 3848 4100 4160 4225 4264 4300 4472 4736 4810 5200 5248 5284 5330 5408 5504 5590 5920 6068 6253 6364 6560 6605 6724 6760 6880 6929 7052 7267 7396 7400 7585 7696 7955 8200 8320 8405 8450 8528 8600 8815 8944 9245 9620 10400 10568 10660 10816 11180 11840 12025 12136 12506 12728 13120 13210 13325 13448 13520 13760 13858 13975 14104 14534 14792 14800 15170 15392 15910 16400 16810 16900 17056 17173 17200 17630 17888 18490 19240 19721 20683 20800 21136 21320 21632 21853 22360 22919 23680 24037 24050 24272 25012 25456 26240 26420 26650 26896 27040 27520 27716 27950 28208 29068 29584 29600 30340 30784 31265 31820 32800 33025 33620 33800 34112 34346 34400 34645 35260 35776 36335 36980 37925 38480 39442 39775 41366 41600 42025 42272 42640 43706 44075 44720 45838 46225 48074 48100 48544 48877 50024 50912 52840 53300 53792 54080 54161 55432 55900 56416 56803 58136 59168 59200 60680 61568 62197 62530 63640 65231 65600 66050 67240 67600 68224 68413 68692 68800 69290 70520 71552 72283 72670 73960 75809 75850 76960 78884 79550 82732 84050 84544 85280 85865 87412 88150 89440 91676 92450 96148 96200 97088 97754 98605 100048 101824 103415 105680 106600 107584 108160 108322 109265 110864 111800 112832 113606 114595 116272 118336 118400 120185 121360 124394 125060 127280 130462 131200 132100 134480 135200 136826 137384 137600 138580 141040 144566 145340 147920 151618 151700 153920 156325 157768 159100 165464 168100 169088 170560 171730 173225 174824 176300 178880 181675 183352 184900 192296 192400 194176 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270934986400 275744483200 277708361060 282638095280 284151327200 289195433600 289270783360 291255110380 296425319440 299005857800 300225255200 303381553280 303835952426 305462676740 305554697600 310966092112 314870389600 320459804800 322742149340 328471299920 330229920800 336179559040 338485668820 341794905920 347135451325 353297619100 358467828160 361588479200 364068887975 367429523864 368007209600 370531649300 375954063680 379226941600 381828345925 385352915272 388707615140 397221106880 403427686675 410589124900 416597746240 420224448800 423107086025 427012689896 427243632400 444333377696 448084785200 452220952448 459286904830 466008176608 469942579600 474280511104 478409372480 481691144090 485884518925 488740282784 496526383600 516387438944 520747182800 525554079872 533765862370 541577070112 541869972800 555416722120 565276190560 568302654400 582510220760 592850638880 597072976279 598011715600 600450510400 607671904852 610925353480 621932184224 626198487317 629740779200 645484298680 656942599840 660459841600 676971337640 683589811840 693895621081 694270902650 706595238200 716935656320 723176958400 728137775950 734859047728 741063298600 751908127360 758453883200 759589881065 763656691850 770705830544 777415230280 794442213760 806855373350 821178249800 833195492480 840448897600 846214172050 854025379792 854487264800 888666755392 896169570400 918573809660 932016353216 939885159200 956818744960 963382288180 971769037850 977480565568 993052767200 1032774877888 1041494365600 1067531724740 1083154140224 1083739945600 1110833444240 1130552381120 1136605308800 1148217262075 1165020441520 1185701277760 1194145952558 1196023431200 1200901020800 1204227860225 1215343809704 1221850706960 1243864368448 1252396974634 1259481558400 1290968597360 1313885199680 1320919683200 1334414655925 1353942675280 1387791242162 1388541805300 1413190476400 1446353916800 1456275551900 1469718095456 1482126597200 1516907766400 1519179762130 1527313383700 1541411661088 1554830460560 1613710746700 1642356499600 1680897795200 1692428344100 1708050759584 1708974529600 1777333510784 1792339140800 1837147619320 1864032706432 1879770318400 1926764576360 1943538075700 1954961131136 1974933690769 1986105534400 2065549755776 2082988731200 2135063449480 2166308280448 2221666888480 2261104762240 2296434524150 2330040883040 2371402555520 2388291905116 2392046862400 2408455720450 2430687619408 2443701413920 2487728736896 2504793949268 2581937194720 2627770399360 2668829311850 2707885350560 2775582484324 2777083610600 2826380952800 2912551103800 2939436190912 2964253194400 2985364881395 3038359524260 3054626767400 3082823322176 3109660921120 3130992436585 3227421493400 3284712999200 3384856688200 3416101519168 3417949059200 3469478105405 3584678281600 3674295238640 3759540636800 3797949405325 3853529152720 3887076151400 3949867381538 3972211068800 4165977462400 4270126898960 4443333776960 4592869048300 4660081766080 4776583810232 4784093724800 4816911440900 4861375238816 4887402827840 5009587898536 5163874389440 5337658623700 5415770701120 5551164968648 5554167221200 5652761905600 5825102207600 5878872381824 5928506388800 5970729762790 6076719048520 6109253534800 6165646644352 6219321842240 6261984873170 6454842986800 6569425998400 6769713376400 6832203038336 6938956210810 7348590477280 7595898810650 7707058305440 7774152302800 7899734763076 8540253797920 8886667553920 9185738096600 9320163532160 9553167620464 9633822881800 9722750477632 9774805655680 9874668453845 10019175797072 10327748778880 10675317247400 10831541402240 11102329937296 11108334442400 11305523811200 11650204415200 11857012777600 11941459525580 12153438097040 12218507069600 12438643684480 12523969746340 12909685973600 13138851996800 13539426752800 13877912421620 14697180954560 14926824406975 15191797621300 15414116610880 15548304605600 15654962182925 15799469526152 17080507595840 17347390527025 18371476193200 19106335240928 19267645763600 19445500955264 19749336907690 20038351594144 21350634494800 22204659874592 22216668884800 23300408830400 23882919051160 24306876194080 24437014139200 25047939492680 25674137979997 25819371947200 27078853505600 27755824843240 29394361909120 29853648813950 30383595242600 30828233221760 31096609211200 31309924365850 31598939052304 34161015191680 34694781054050 36742952386400 38212670481856 38535291527200 39498673815380 40076703188288 42701268989600 44409319749184 44433337769600 46600817660800 47765838102320 48613752388160 48874028278400 49373342269225 50095878985360 51348275959994 51638743894400 54157707011200 55511649686480 59707297627900 60767190485200 62193218422400 62619848731700 63197878104608 69389562108100 73485904772800 76425340963712 77070583054400 78997347630760 80153406376576 85402537979200 88818639498368 95531676204640 97227504776320 98746684538450 100191757970720 102696551919988 111023299372960 119414595255800 121534380970400 125239697463400 126395756209216 128370689899985 138779124216200 146971809545600 154141166108800 157994695261520 170805075958400 191063352409280 197493369076900 200383515941440 205393103839976 222046598745920 238829190511600 243068761940800 250479394926800 252791512418432 256741379799970 277558248432400 315989390523040 382126704818560 394986738153800 400767031882880 410786207679952 444093197491840 477658381023200 486137523881600 500958789853600 513482759599940 555116496864800 631978781046080 641853449499925 789973476307600 821572415359904 955316762046400 1001917579707200 1026965519199880 1110232993729600 1263957562092160 1283706898999850 1579946952615200 1643144830719808 1910633524092800 2003835159414400 2053931038399760 2220465987459200 2567413797999700 3159893905230400 3286289661439616 4107862076799520 5134827595999400 6319787810460800 8215724153599040 10269655191998800 16431448307198080 20539310383997600 41078620767995200 82157241535990400
- Sum of all divisors σ(n): 237030322372118460
- Sum of proper divisors (its aliquot sum) s(n): 154873080836128060
- 82157241535990400 is an abundant number, because the sum of its proper divisors (154873080836128060) is greater than itself. Its abundance is 72715839300137660
Bases of 82157241535990400
- Binary: 1001000111110000110010011011011010111101010001010100000002
- Hexadecimal: 0x123E1936D7A8A80
- Base-36: MGYB7PXEV7K
Squares and roots of 82157241535990400
- 82157241535990400 squared (821572415359904002) is 6749812336803066220258508892160000
- 82157241535990400 cubed (821572415359904003) is 554545962477337295324747581976678415072395264000000
-
The
square root of 82157241535990400 is 286630845.4022183567 -
The
cube root of 82157241535990400 is 434725.6675819555
Scales and comparisons
How big is 82157241535990400?- 82,157,241,535,990,400 seconds is equal to 2,612,346,151 years, 42 weeks, 1 day, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 82,157,241,535,990,400 would take you about seven billion, eight hundred thirty-seven million, thirty-eight thousand, four hundred fifty-five 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 82157241535990400 cubic inches would be around 36227.1 feet tall.
Recreational maths with 82157241535990400
- 82157241535990400 backwards is 00409953514275128
- 82157241535990400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 82157241535990400's digits is 65
- More coming soon!
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"Number 82157241535990400 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 82157241535990400 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/82157241535990400/
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Numbermatics. 2024. "Number 82157241535990400 - Facts about the integer". https://numbermatics.com/n/82157241535990400/
The information we have on file for 82157241535990400 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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