31772133103725990144
31,772,133,103,725,990,144 is an even composite number composed of six prime numbers multiplied together.
What does the number 31772133103725990144 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2187 divisors.
31772133103725990144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred eighty-seven divisors.
Prime factorization of 31772133103725990144:
28 × 32 × 132 × 172 × 1012 × 52612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 17 × 17 × 101 × 101 × 5261 × 5261)See below for interesting mathematical facts about the number 31772133103725990144 from the Numbermatics database.
Names of 31772133103725990144
- Cardinal: 31772133103725990144 can be written as Thirty-one quintillion, seven hundred seventy-two quadrillion, one hundred thirty-three trillion, one hundred three billion, seven hundred twenty-five million, nine hundred ninety thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 3.1772133103725990144 × 1019
Factors of 31772133103725990144
Divisors of 31772133103725990144
- Number of divisors d(n): 2187
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 64 68 72 78 96 101 102 104 117 128 136 144 153 156 169 192 202 204 208 221 234 256 272 288 289 303 306 312 338 384 404 408 416 442 468 507 544 576 578 606 612 624 663 676 768 808 816 832 867 884 909 936 1014 1088 1152 1156 1212 1224 1248 1313 1326 1352 1521 1616 1632 1664 1717 1734 1768 1818 1872 1989 2028 2176 2304 2312 2424 2448 2496 2601 2626 2652 2704 2873 3042 3232 3264 3328 3434 3468 3536 3636 3744 3757 3939 3978 4056 4352 4624 4848 4896 4992 5151 5202 5252 5261 5304 5408 5746 6084 6464 6528 6868 6936 7072 7272 7488 7514 7878 7956 8112 8619 9248 9696 9792 9984 10201 10302 10404 10504 10522 10608 10816 11271 11492 11817 12168 12928 13056 13736 13872 14144 14544 14976 15028 15453 15756 15783 15912 16224 17069 17238 18496 19392 19584 20402 20604 20808 21008 21044 21216 21632 22321 22542 22984 23634 24336 25856 25857 27472 27744 28288 29088 29189 29952 30056 30603 30906 31512 31566 31824 32448 33813 34138 34476 36992 38784 39168 40804 41208 41616 42016 42088 42432 43264 44642 45084 45968 47268 47349 48672 48841 51207 51714 54944 55488 56576 58176 58378 60112 61206 61812 63024 63132 63648 64896 66963 67626 68276 68393 68952 73984 77568 81608 82416 83232 84032 84176 84864 87567 89284 89437 90168 91809 91936 94536 94698 97344 97682 102414 103428 109888 110976 116352 116756 120224 122412 123624 126048 126264 127296 129792 132613 133926 135252 136552 136786 137904 146523 153621 163216 164832 166464 168064 168352 169728 173417 175134 178568 178874 180336 183618 183872 189072 189396 194688 195364 200889 204828 205179 206856 219776 221952 232704 233512 240448 244824 247248 252096 252528 254592 262701 265226 267852 268311 270504 273104 273572 275808 290173 293046 307242 326432 329664 332928 336128 336704 346834 350268 357136 357748 360672 367236 367744 378144 378792 379457 389376 390728 397839 401778 409656 410358 413712 439552 439569 467024 480896 489648 494496 504192 505056 509184 520251 525402 530452 531361 535704 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257006188957856 259550804690112 264274463532456 272124200073024 273069075767722 286297335493494 289131962577588 307190829405248 310232322765696 325260878193792 326390256243076 335510075225728 336085016329504 345589683080904 346067739586816 352365951376608 355245962003712 355854723172416 362832266764032 374388823337646 377448834628944 378095643370692 381729780657992 385509283436784 389326207035168 409603613651583 429446003240241 460786244107872 464552411851008 465348484148544 469821268502144 474472964229888 489585384364614 499185097783528 503265112838592 504127524494256 514012377915712 519101609380224 528548927064912 544248400146048 546138151535444 561583235006469 572594670986988 578263925155176 614381658810496 620464645531392 650521756387584 652780512486152 671020150451456 672170032659008 691179366161808 704731902753216 711709446344832 734378076546921 748777646675292 754897669257888 756191286741384 763459561315984 771018566873568 778652414070336 811175783898233 819207227303166 858892006480482 921572488215744 930696968297088 939642537004288 979170768729228 998370195567056 1006530225677184 1008255048988512 1028024755831424 1038203218760448 1057097854129824 1060768332789997 1088496800292096 1092276303070888 1123166470012938 1145189341973976 1156527850310352 1228763317620992 1228810840954749 1305561024972304 1344340065318016 1382358732323616 1409463805506432 1423418892689664 1468756153093842 1497555293350584 1509795338515776 1512382573482768 1526919122631968 1542037133747136 1557304828140672 1622351567796466 1638414454606332 1717784012960964 1843144976431488 1861393936594176 1958341537458456 1996740391134112 2013060451354368 2016510097977024 2056049511662848 2114195708259648 2121536665579994 2184552606141776 2246332940025876 2290378683947952 2313055700620704 2433527351694699 2457621681909498 2611122049944608 2688680130636032 2764717464647232 2818927611012864 2937512306187684 2995110586701168 3019590677031552 3024765146965536 3053838245263936 3084074267494272 3114609656281344 3182304998369991 3244703135592932 3276828909212664 3435568025921928 3686289952862976 3916683074916912 3993480782268224 4033020195954048 4228391416519296 4243073331159988 4369105212283552 4492665880051752 4580757367895904 4626111401241408 4867054703389398 4915243363818996 5222244099889216 5529434929294464 5875024612375368 5990221173402336 6039181354063104 6049530293931072 6107676490527872 6168148534988544 6364609996739982 6489406271185864 6553657818425328 6871136051843856 7300582055084097 7833366149833824 7986961564536448 8066040391908096 8456782833038592 8486146662319976 8738210424567104 8985331760103504 9161514735791808 9252222802482816 9546914995109973 9734109406778796 9830486727637992 10444488199778432 11058869858588928 11750049224750736 11980442346804672 12099060587862144 12215352981055744 12729219993479964 12978812542371728 13107315636850656 13742272103687712 13789988326269961 14601164110168194 15666732299667648 15973923129072896 16972293324639952 17476420849134208 17970663520207008 18323029471583616 18504445604965632 19093829990219946 19468218813557592 19660973455275984 20888976399556864 23500098449501472 23960884693609344 24198121175724288 25458439986959928 25957625084743456 26214631273701312 27484544207375424 27579976652539922 29202328220336388 31333464599335296 33944586649279904 34952841698268416 35941327040414016 36646058943167232 38187659980439892 38936437627115184 39321946910551968 41369964978809883 47000196899002944 47921769387218688 50916879973919856 51915250169486912 52429262547402624 54969088414750848 55159953305079844 58404656440672776 62666929198670592 67889173298559808 71882654080828032 76375319960879784 77872875254230368 78643893821103936 82739929957619766 94000393798005888 101833759947839712 103830500338973824 104858525094805248 109938176829501696 110319906610159688 116809312881345552 124109894936429649 135778346597119616 143765308161656064 152750639921759568 155745750508460736 157287787642207872 165479859915239532 188000787596011776 203667519895679424 207661000677947648 220639813220319376 233618625762691104 248219789872859298 271556693194239232 305501279843519136 311491501016921472 314575575284415744 330959719830479064 407335039791358848 441279626440638752 467237251525382208 496439579745718596 611002559687038272 622983002033842944 661919439660958128 814670079582717696 882559252881277504 934474503050764416 992879159491437192 1222005119374076544 1323838879321916256 1765118505762555008 1868949006101528832 1985758318982874384 2444010238748153088 2647677758643832512 3530237011525110016 3971516637965748768 5295355517287665024 7943033275931497536 10590711034575330048 15886066551862995072 31772133103725990144
- Sum of all divisors σ(n): 106447772691223093767
- Sum of proper divisors (its aliquot sum) s(n): 74675639587497103623
- 31772133103725990144 is an abundant number, because the sum of its proper divisors (74675639587497103623) is greater than itself. Its abundance is 42903506483771113479
Bases of 31772133103725990144
- Binary: 110111000111011010100101010111000110011000000010001010001000000002
- Hexadecimal: 0x1B8ED4AB8CC045100
- Base-36: 6PE157KWVFWG0
Squares and roots of 31772133103725990144
- 31772133103725990144 squared (317721331037259901442) is 1009468441960880919582795335353185140736
- 31772133103725990144 cubed (317721331037259901443) is 32072965701992003035660248204823685811901566554989588905984
-
31772133103725990144 is a
perfect square number . Itssquare root is 5636677488 -
The
cube root of 31772133103725990144 is 3167248.3927292701
Scales and comparisons
How big is 31772133103725990144?- 31,772,133,103,725,990,144 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 31,772,133,103,725,990,144 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 31772133103725990144 cubic inches would be around 263937.4 feet tall.
Recreational maths with 31772133103725990144
- 31772133103725990144 backwards is 44109952730133127713
- 31772133103725990144 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 31772133103725990144's digits is 72
- More coming soon!
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"Number 31772133103725990144 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 31772133103725990144 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/31772133103725990144/
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Numbermatics. 2024. "Number 31772133103725990144 - Facts about the integer". https://numbermatics.com/n/31772133103725990144/
The information we have on file for 31772133103725990144 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 31772133103725990144, math, Factors of 31772133103725990144, curriculum, school, college, exams, university, Prime factorization of 31772133103725990144, STEM, science, technology, engineering, physics, economics, calculator, thirty-one quintillion, seven hundred seventy-two quadrillion, one hundred thirty-three trillion, one hundred three billion, seven hundred twenty-five million, nine hundred ninety thousand, one hundred forty-four.