31412137798729728
31,412,137,798,729,728 is an even composite number composed of four prime numbers multiplied together.
What does the number 31412137798729728 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1122 divisors.
31412137798729728 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty-two divisors.
Prime factorization of 31412137798729728:
216 × 310 × 17 × 6912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 17 × 691 × 691)See below for interesting mathematical facts about the number 31412137798729728 from the Numbermatics database.
Names of 31412137798729728
- Cardinal: 31412137798729728 can be written as Thirty-one quadrillion, four hundred twelve trillion, one hundred thirty-seven billion, seven hundred ninety-eight million, seven hundred twenty-nine thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 3.1412137798729728 × 1016
Factors of 31412137798729728
Divisors of 31412137798729728
- Number of divisors d(n): 1122
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 243 256 272 288 306 324 384 408 432 459 486 512 544 576 612 648 691 729 768 816 864 918 972 1024 1088 1152 1224 1296 1377 1382 1458 1536 1632 1728 1836 1944 2048 2073 2176 2187 2304 2448 2592 2754 2764 2916 3072 3264 3456 3672 3888 4096 4131 4146 4352 4374 4608 4896 5184 5508 5528 5832 6144 6219 6528 6561 6912 7344 7776 8192 8262 8292 8704 8748 9216 9792 10368 11016 11056 11664 11747 12288 12393 12438 13056 13122 13824 14688 15552 16384 16524 16584 17408 17496 18432 18657 19584 19683 20736 22032 22112 23328 23494 24576 24786 24876 26112 26244 27648 29376 31104 32768 33048 33168 34816 34992 35241 36864 37179 37314 39168 39366 41472 44064 44224 46656 46988 49152 49572 49752 52224 52488 55296 55971 58752 59049 62208 65536 66096 66336 69632 69984 70482 73728 74358 74628 78336 78732 82944 88128 88448 93312 93976 98304 99144 99504 104448 104976 105723 110592 111537 111942 117504 118098 124416 132192 132672 139264 139968 140964 147456 148716 149256 156672 157464 165888 167913 176256 176896 186624 187952 196608 198288 199008 208896 209952 211446 221184 223074 223884 235008 236196 248832 264384 265344 278528 279936 281928 294912 297432 298512 313344 314928 317169 331776 334611 335826 352512 353792 373248 375904 396576 398016 417792 419904 422892 442368 446148 447768 470016 472392 477481 497664 503739 528768 530688 557056 559872 563856 589824 594864 597024 626688 629856 634338 663552 669222 671652 705024 707584 746496 751808 793152 796032 835584 839808 845784 884736 892296 895536 940032 944784 951507 954962 995328 1003833 1007478 1057536 1061376 1114112 1119744 1127712 1189728 1194048 1253376 1259712 1268676 1327104 1338444 1343304 1410048 1415168 1432443 1492992 1503616 1511217 1586304 1592064 1671168 1679616 1691568 1769472 1784592 1791072 1880064 1889568 1903014 1909924 1990656 2007666 2014956 2115072 2122752 2239488 2255424 2379456 2388096 2506752 2519424 2537352 2654208 2676888 2686608 2820096 2830336 2854521 2864886 2985984 3007232 3022434 3172608 3184128 3342336 3359232 3383136 3569184 3582144 3760128 3779136 3806028 3819848 3981312 4015332 4029912 4230144 4245504 4297329 4478976 4510848 4533651 4758912 4776192 5013504 5038848 5074704 5308416 5353776 5373216 5640192 5660672 5709042 5729772 5971968 6014464 6044868 6345216 6368256 6718464 6766272 7138368 7164288 7520256 7558272 7612056 7639696 7962624 8030664 8059824 8117177 8460288 8491008 8563563 8594658 8957952 9021696 9067302 9517824 9552384 10027008 10077696 10149408 10707552 10746432 11280384 11321344 11418084 11459544 11943936 12028928 12089736 12690432 12736512 12891987 13436928 13532544 13600953 14276736 14328576 15040512 15116544 15224112 15279392 15925248 16061328 16119648 16234354 16920576 16982016 17127126 17189316 17915904 18043392 18134604 19035648 19104768 20155392 20298816 21415104 21492864 22560768 22642688 22836168 22919088 23887872 24057856 24179472 24351531 25380864 25473024 25690689 25783974 26873856 27065088 27201906 28553472 28657152 30081024 30233088 30448224 30558784 32122656 32239296 32468708 33841152 33964032 34254252 34378632 35831808 36086784 36269208 38071296 38209536 38675961 40310784 40597632 40802859 42830208 42985728 45121536 45285376 45672336 45838176 47775744 48115712 48358944 48703062 50761728 50946048 51381378 51567948 53747712 54130176 54403812 57106944 57314304 60466176 60896448 61117568 64245312 64478592 64937416 67682304 67928064 68508504 68757264 71663616 72173568 72538416 73054593 76142592 76419072 77072067 77351922 80621568 81195264 81605718 85660416 85971456 90243072 91344672 91676352 96231424 96717888 97406124 101523456 101892096 102762756 103135896 107495424 108260352 108807624 114213888 114628608 116027883 120932352 121792896 122235136 128490624 128957184 129874832 135364608 135856128 137017008 137514528 143327232 144347136 145076832 146109186 152285184 152838144 154144134 154703844 161243136 162390528 163211436 171320832 171942912 182689344 183352704 192462848 193435776 194812248 203046912 203784192 205525512 206271792 214990848 216520704 217615248 219163779 228427776 229257216 231216201 232055766 241864704 243585792 244470272 256981248 257914368 259749664 270729216 274034016 275029056 288694272 290153664 292218372 304570368 305676288 308288268 309407688 322486272 324781056 326422872 342641664 343885824 348083649 365378688 366705408 384925696 386871552 389624496 406093824 407568384 411051024 412543584 429981696 433041408 435230496 438327558 456855552 458514432 462432402 464111532 483729408 487171584 488940544 513962496 515828736 519499328 548068032 550058112 577388544 580307328 584436744 609140736 611352576 616576536 618815376 644972544 649562112 652845744 657491337 685283328 687771648 693648603 696167298 730757376 733410816 769851392 773743104 779248992 812187648 822102048 825087168 866082816 870460992 876655116 913711104 917028864 924864804 928223064 967458816 974343168 977881088 1027924992 1031657472 1038998656 1044250947 1096136064 1100116224 1154777088 1160614656 1168873488 1218281472 1222705152 1233153072 1237630752 1289945088 1299124224 1305691488 1314982674 1370566656 1375543296 1387297206 1392334596 1461514752 1466821632 1547486208 1558497984 1644204096 1650174336 1732165632 1740921984 1753310232 1827422208 1834057728 1849729608 1856446128 1934917632 1948686336 1955762176 1972474011 2055849984 2063314944 2077997312 2088501894 2192272128 2200232448 2309554176 2321229312 2337746976 2436562944 2466306144 2475261504 2598248448 2611382976 2629965348 2741133312 2751086592 2774594412 2784669192 2923029504 2933643264 3094972416 3116995968 3132752841 3288408192 3300348672 3464331264 3481843968 3506620464 3654844416 3668115456 3699459216 3712892256 3869835264 3897372672 3911524352 3944948022 4111699968 4126629888 4155994624 4177003788 4384544256 4400464896 4642458624 4675493952 4932612288 4950523008 5196496896 5222765952 5259930696 5482266624 5502173184 5549188824 5569338384 5846059008 5867286528 5917422033 6189944832 6233991936 6265505682 6576816384 6600697344 6928662528 6963687936 7013240928 7309688832 7398918432 7425784512 7794745344 7823048704 7889896044 8223399936 8253259776 8311989248 8354007576 8769088512 8800929792 9284917248 9350987904 9398258523 9865224576 9901046016 10392993792 10445531904 10519861392 10964533248 11004346368 11098377648 11138676768 11692118016 11734573056 11834844066 12379889664 12467983872 12531011364 13153632768 13201394688 13927375872 14026481856 14797836864 14851569024 15589490688 15646097408 15779792088 16446799872 16506519552 16623978496 16708015152 17538177024 17601859584 17752266099 18569834496 18701975808 18796517046 19730449152 19802092032 20785987584 20891063808 21039722784 21929066496 22196755296 22277353536 23384236032 23469146112 23669688132 24759779328 24935967744 25062022728 26307265536 26402789376 27854751744 28052963712 28194775569 29595673728 29703138048 31178981376 31292194816 31559584176 32893599744 33013039104 33247956992 33416030304 35076354048 35203719168 35504532198 37139668992 37403951616 37593034092 39460898304 39604184064 41782127616 42079445568 44393510592 44554707072 46768472064 46938292224 47339376264 49519558656 49871935488 50124045456 52614531072 52805578752 53256798297 55709503488 56105927424 56389551138 59191347456 59406276096 62357962752 63119168352 65787199488 66495913984 66832060608 70152708096 70407438336 71009064396 74279337984 74807903232 75186068184 78921796608 79208368128 83564255232 84158891136 88787021184 89109414144 93536944128 93876584448 94678752528 99039117312 99743870976 100248090912 105229062144 105611157504 106513596594 111419006976 112211854848 112779102276 118382694912 118812552192 126238336704 132991827968 133664121216 140305416192 140814876672 142018128792 148558675968 149615806464 150372136368 157843593216 158416736256 159770394891 167128510464 168317782272 177574042368 178218828288 187073888256 189357505056 199487741952 200496181824 210458124288 211222315008 213027193188 222838013952 224423709696 225558204552 236765389824 237625104384 252476673408 265983655936 267328242432 280610832384 281629753344 284036257584 297117351936 299231612928 300744272736 315687186432 316833472512 319540789782 334257020928 336635564544 355148084736 356437656576 378715010112 398975483904 400992363648 420916248576 422444630016 426054386376 445676027904 448847419392 451116409104 473530779648 475250208768 479311184673 504953346816 531967311872 534656484864 561221664768 568072515168 598463225856 601488545472 631374372864 633666945024 639081579564 668514041856 673271129088 710296169472 712875313152 757430020224 797950967808 801984727296 841832497152 844889260032 852108772752 891352055808 897694838784 902232818208 947061559296 950500417536 958622369346 1009906693632 1069312969728 1136145030336 1196926451712 1202977090944 1262748745728 1267333890048 1278163159128 1337028083712 1346542258176 1420592338944 1425750626304 1514860040448 1595901935616 1603969454592 1683664994304 1704217545504 1795389677568 1804465636416 1894123118592 1901000835072 1917244738692 2019813387264 2138625939456 2272290060672 2393852903424 2405954181888 2525497491456 2534667780096 2556326318256 2674056167424 2693084516352 2841184677888 2851501252608 3029720080896 3207938909184 3408435091008 3590779355136 3608931272832 3788246237184 3802001670144 3834489477384 4039626774528 4277251878912 4544580121344 4787705806848 4811908363776 5050994982912 5112652636512 5386169032704 5682369355776 5703002505216 6059440161792 6415877818368 6816870182016 7181558710272 7217862545664 7576492474368 7604003340288 7668978954768 8079253549056 8554503757824 9089160242688 9623816727552 10225305273024 10772338065408 11364738711552 11406005010432 12118880323584 12831755636736 13633740364032 14363117420544 14435725091328 15152984948736 15337957909536 16158507098112 17109007515648 18178320485376 19247633455104 20450610546048 21544676130816 22729477423104 22812010020864 24237760647168 25663511273472 27267480728064 28871450182656 30675915819072 32317014196224 34218015031296 36356640970752 38495266910208 40901221092096 43089352261632 45458954846208 48475521294336 51327022546944 54534961456128 57742900365312 61351831638144 64634028392448 68436030062592 72713281941504 76990533820416 81802442184192 96951042588672 102654045093888 109069922912256 115485800730624 122703663276288 129268056784896 145426563883008 153981067640832 163604884368384 193902085177344 205308090187776 218139845824512 230971601461248 245407326552576 290853127766016 307962135281664 327209768736768 387804170354688 436279691649024 461943202922496 490814653105152 581706255532032 615924270563328 654419537473536 872559383298048 923886405844992 981629306210304 1163412511064064 1308839074947072 1745118766596096 1847772811689984 1963258612420608 2617678149894144 3490237533192192 3926517224841216 5235356299788288 7853034449682432 10470712599576576 15706068899364864 31412137798729728
- Sum of all divisors σ(n): 99923013401672862
- Sum of proper divisors (its aliquot sum) s(n): 68510875602943134
- 31412137798729728 is an abundant number, because the sum of its proper divisors (68510875602943134) is greater than itself. Its abundance is 37098737804213406
Bases of 31412137798729728
- Binary: 11011111001100100101100010000110010000100000000000000002
- Hexadecimal: 0x6F992C43210000
- Base-36: 8LAO8W00000
Squares and roots of 31412137798729728
- 31412137798729728 squared (314121377987297282) is 986722401086384921786650390953984
- 31412137798729728 cubed (314121377987297283) is 30995060032018987029131679933702646901577300836352
-
The
square root of 31412137798729728 is 177234696.9380705883 -
The
cube root of 31412137798729728 is 315524.0719215237
Scales and comparisons
How big is 31412137798729728?- 31,412,137,798,729,728 seconds is equal to 998,808,817 years, 45 weeks, 4 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 31,412,137,798,729,728 would take you about two billion, nine hundred ninety-six million, four hundred twenty-six thousand, four hundred fifty-three 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 31412137798729728 cubic inches would be around 26293.7 feet tall.
Recreational maths with 31412137798729728
- 31412137798729728 backwards is 82792789773121413
- 31412137798729728 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 31412137798729728's digits is 81
- More coming soon!
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"Number 31412137798729728 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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Numbermatics. (2024). Number 31412137798729728 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/31412137798729728/
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The information we have on file for 31412137798729728 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 31412137798729728, math, Factors of 31412137798729728, curriculum, school, college, exams, university, Prime factorization of 31412137798729728, STEM, science, technology, engineering, physics, economics, calculator, thirty-one quadrillion, four hundred twelve trillion, one hundred thirty-seven billion, seven hundred ninety-eight million, seven hundred twenty-nine thousand, seven hundred twenty-eight.