137113402997127168
137,113,402,997,127,168 is an even composite number composed of four prime numbers multiplied together.
What does the number 137113402997127168 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1152 divisors.
137113402997127168 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137113402997127168:
211 × 37 × 312 × 3173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 31 × 31 × 317 × 317 × 317)See below for interesting mathematical facts about the number 137113402997127168 from the Numbermatics database.
Names of 137113402997127168
- Cardinal: 137113402997127168 can be written as One hundred thirty-seven quadrillion, one hundred thirteen trillion, four hundred two billion, nine hundred ninety-seven million, one hundred twenty-seven thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37113402997127168 × 1017
Factors of 137113402997127168
Divisors of 137113402997127168
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 243 248 256 279 288 317 324 372 384 432 486 496 512 558 576 634 648 729 744 768 837 864 951 961 972 992 1024 1116 1152 1268 1296 1458 1488 1536 1674 1728 1902 1922 1944 1984 2048 2187 2232 2304 2511 2536 2592 2853 2883 2916 2976 3072 3348 3456 3804 3844 3888 3968 4374 4464 4608 5022 5072 5184 5706 5766 5832 5952 6144 6696 6912 7533 7608 7688 7776 7936 8559 8649 8748 8928 9216 9827 10044 10144 10368 11412 11532 11664 11904 13392 13824 15066 15216 15376 15552 15872 17118 17298 17496 17856 18432 19654 20088 20288 20736 22599 22824 23064 23328 23808 25677 25947 26784 27648 29481 30132 30432 30752 31104 31744 34236 34596 34992 35712 39308 40176 40576 41472 45198 45648 46128 46656 47616 51354 51894 53568 55296 58962 60264 60864 61504 62208 63488 67797 68472 69192 69984 71424 77031 77841 78616 80352 81152 82944 88443 90396 91296 92256 93312 95232 100489 102708 103788 107136 117924 120528 121728 123008 124416 135594 136944 138384 139968 142848 154062 155682 157232 160704 162304 165888 176886 180792 182592 184512 186624 190464 200978 205416 207576 214272 231093 233523 235848 241056 243456 246016 248832 265329 271188 273888 276768 279936 285696 301467 304637 308124 311364 314464 321408 324608 353772 361584 365184 369024 373248 401956 410832 415152 428544 462186 467046 471696 482112 486912 492032 497664 530658 542376 547776 553536 559872 571392 602934 609274 616248 622728 628928 642816 649216 693279 700569 707544 723168 730368 738048 746496 795987 803912 821664 830304 857088 904401 913911 924372 934092 943392 964224 973824 984064 1061316 1084752 1095552 1107072 1119744 1205868 1218548 1232496 1245456 1257856 1285632 1386558 1401138 1415088 1446336 1460736 1476096 1492992 1591974 1607824 1643328 1660608 1714176 1808802 1827822 1848744 1868184 1886784 1928448 1947648 1968128 2101707 2122632 2169504 2191104 2214144 2239488 2387961 2411736 2437096 2464992 2490912 2515712 2571264 2713203 2741733 2773116 2802276 2830176 2892672 2921472 2952192 3115159 3183948 3215648 3286656 3321216 3617604 3655644 3697488 3736368 3773568 3856896 4203414 4245264 4339008 4382208 4428288 4478976 4775922 4823472 4874192 4929984 4981824 5031424 5142528 5426406 5483466 5546232 5604552 5660352 5785344 5842944 5904384 6230318 6367896 6431296 6573312 6642432 7163883 7235208 7311288 7394976 7472736 7547136 7713792 8139609 8225199 8406828 8490528 8678016 8764416 8856576 9345477 9551844 9646944 9748384 9859968 9963648 10062848 10852812 10966932 11092464 11209104 11320704 11570688 12460636 12735792 12862592 13146624 13284864 14327766 14470416 14622576 14789952 14945472 15094272 15427584 16279218 16450398 16813656 16981056 17356032 17528832 17713152 18690954 19103688 19293888 19496768 19719936 19927296 20125696 21491649 21705624 21933864 22184928 22418208 22641408 23141376 24418827 24675597 24921272 25471584 25725184 26293248 26569728 28036431 28655532 28940832 29245152 29579904 29890944 30188544 31855013 32558436 32900796 33627312 33962112 34712064 37381908 38207376 38587776 38993536 39439872 39854592 42983298 43411248 43867728 44369856 44836416 45282816 46282752 48837654 49351194 49842544 50943168 51450368 52586496 53139456 56072862 57311064 57881664 58490304 59159808 59781888 60377088 63710026 65116872 65801592 67254624 67924224 69424128 73256481 74026791 74763816 76414752 77175552 77987072 78879744 79709184 84109293 85966596 86822496 87735456 88739712 89672832 90565632 95565039 96569929 97675308 98702388 99685088 101886336 102900736 112145724 114622128 115763328 116980608 118319616 119563776 127420052 130233744 131603184 134509248 135848448 138848256 146512962 148053582 149527632 152829504 154351104 155974144 157759488 159418368 168218586 171933192 173644992 175470912 177479424 179345664 181131264 191130078 193139858 195350616 197404776 199370176 203772672 205801472 219769443 222080373 224291448 229244256 231526656 233961216 236639232 239127552 252327879 254840104 260467488 263206368 269018496 271696896 286695117 289709787 293025924 296107164 299055264 305659008 308702208 311948288 336437172 343866384 347289984 350941824 354958848 358691328 382260156 386279716 390701232 394809552 398740352 407545344 439538886 444160746 448582896 458488512 463053312 467922432 473278464 478255104 504655758 509680208 520934976 526412736 538036992 543393792 573390234 579419574 586051848 592214328 598110528 611318016 617404416 623896576 666241119 672874344 687732768 694579968 701883648 709917696 717382656 756983637 764520312 772559432 781402464 789619104 797480704 815090688 860085351 869129361 879077772 888321492 897165792 916977024 926106624 935844864 987505403 1009311516 1019360416 1041869952 1052825472 1076073984 1146780468 1158839148 1172103696 1184428656 1196221056 1222636032 1332482238 1345748688 1375465536 1389159936 1403767296 1419835392 1434765312 1513967274 1529040624 1545118864 1562804928 1579238208 1594961408 1630181376 1720170702 1738258722 1758155544 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11003724288 11850064836 12111738192 12232324992 12360950912 12502439424 12633905664 13625705466 13761365616 13906069776 14065244352 14213143872 14354652672 14671632384 15481536318 15644328498 15800086448 16148984256 16309766656 16669919232 16845207552 17775097254 18167607288 18348487488 18541426368 18753659136 18950858496 19139536896 20642048424 20859104664 21319715808 21531979008 22007448576 23222304477 23466492747 23700129672 24223476384 24464649984 24721901824 25004878848 25267811328 26662645881 27251410932 27522731232 27812139552 28130488704 28426287744 28709305344 30612667493 30963072636 31288656996 31600172896 32297968512 32619533312 35550194508 36335214576 36696974976 37082852736 37507318272 37901716992 41284096848 41718209328 42639431616 43063958016 44014897152 46444608954 46932985494 47400259344 48446952768 48929299968 49443803648 50009757696 50535622656 53325291762 54502821864 55045462464 55624279104 56260977408 56852575488 57418610688 61225334986 61926145272 62577313992 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367352009916 371556871632 375463883952 379202074752 387575622144 422396869446 426602334096 436022574912 440363699712 444994232832 450087819264 454820603904 479927625858 489802679888 495409162176 500618511936 505602766336 516767496192 551028014874 557335307448 563195825928 568803112128 581363433216 587151599616 593325643776 639903501144 660545549568 667491349248 682230905856 719891438787 734704019832 743113743264 750927767904 758404149504 775151244288 826542022311 844793738892 853204668192 872045149824 880727399424 889988465664 959855251716 979605359776 990818324352 1001237023872 1011205532672 1102056029748 1114670614896 1126391651856 1137606224256 1162726866432 1279807002288 1321091099136 1334982698496 1364461811712 1439782877574 1469408039664 1486227486528 1501855535808 1516808299008 1550302488576 1653084044622 1689587477784 1706409336384 1744090299648 1761454798848 1779976931328 1919710503432 1959210719552 1981636648704 2002474047744 2022411065344 2159674316361 2204112059496 2229341229792 2252783303712 2275212448512 2325453732864 2479626066933 2559614004576 2642182198272 2669965396992 2879565755148 2938816079328 2972454973056 3003711071616 3033616598016 3306168089244 3379174955568 3412818672768 3488180599296 3839421006864 3918421439104 3963273297408 4004948095488 4319348632722 4408224118992 4458682459584 4505566607424 4550424897024 4650907465728 4959252133866 5119228009152 5284364396544 5339930793984 5759131510296 5877632158656 5944909946112 6007422143232 6067233196032 6612336178488 6758349911136 6825637345536 6976361198592 7438878200799 7678842013728 7836842878208 7926546594816 8009896190976 8638697265444 8816448237984 8917364919168 9011133214848 9100849794048 9918504267732 10238456018304 11518263020592 11755264317312 11889819892224 12014844286464 13224672356976 13516699822272 13651274691072 13952722397184 14877756401598 15357684027456 15673685756416 15853093189632 16019792381952 17277394530888 17632896475968 17834729838336 18022266429696 18201699588096 19837008535464 20476912036608 22316634602397 23036526041184 23510528634624 23779639784448 24029688572928 26449344713952 27033399644544 27302549382144 29755512803196 30715368054912 31347371512832 34554789061776 35265792951936 35669459676672 36044532859392 39674017070928 40953824073216 44633269204794 46073052082368 47021057269248 47559279568896 48059377145856 52898689427904 54066799289088 54605098764288 59511025606392 61430736109824 62694743025664 66949903807191 69109578123552 70531585903872 71338919353344 72089065718784 79348034141856 81907648146432 89266538409588 92146104164736 94042114538496 105797378855808 108133598578176 119022051212784 122861472219648 133899807614382 138219156247104 141063171807744 142677838706688 144178131437568 158696068283712 163815296292864 178533076819176 184292208329472 188084229076992 211594757711616 216267197156352 238044102425568 245722944439296 267799615228764 276438312494208 282126343615488 317392136567424 357066153638352 368584416658944 423189515423232 432534394312704 476088204851136 491445888878592 535599230457528 552876624988416 564252687230976 634784273134848 714132307276704 737168833317888 846379030846464 952176409702272 1071198460915056 1105753249976832 1269568546269696 1428264614553408 1474337666635776 1692758061692928 1904352819404544 2142396921830112 2211506499953664 2539137092539392 2856529229106816 3808705638809088 4284793843660224 4423012999907328 5078274185078784 5713058458213632 7617411277618176 8569587687320448 11426116916427264 15234822555236352 17139175374640896 22852233832854528 34278350749281792 45704467665709056 68556701498563584 137113402997127168
- Sum of all divisors σ(n): 426213267368616000
- Sum of proper divisors (its aliquot sum) s(n): 289099864371488832
- 137113402997127168 is an abundant number, because the sum of its proper divisors (289099864371488832) is greater than itself. Its abundance is 151986461374361664
Bases of 137113402997127168
- Binary: 1111001110001111111101001110111111001011010111000000000002
- Hexadecimal: 0x1E71FE9DF96B800
- Base-36: 11I2N7RHC000
Squares and roots of 137113402997127168
- 137113402997127168 squared (1371134029971271682) is 18800085281452601456473661163700224
- 137113402997127168 cubed (1371134029971271683) is 2577743669576169482300574022076473643554036758085632
-
The
square root of 137113402997127168 is 370288270.1317004557 -
The
cube root of 137113402997127168 is 515655.8746973795
Scales and comparisons
How big is 137113402997127168?- 137,113,402,997,127,168 seconds is equal to 4,359,782,095 years, 36 weeks, 5 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,113,402,997,127,168 would take you about thirteen billion, seventy-nine million, three hundred forty-six thousand, two hundred eighty-seven 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 137113402997127168 cubic inches would be around 42971.3 feet tall.
Recreational maths with 137113402997127168
- 137113402997127168 backwards is 861721799204311731
- 137113402997127168 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137113402997127168's digits is 72
- More coming soon!
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Numbermatics. (2024). Number 137113402997127168 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/137113402997127168/
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The information we have on file for 137113402997127168 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 137113402997127168, math, Factors of 137113402997127168, curriculum, school, college, exams, university, Prime factorization of 137113402997127168, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, one hundred thirteen trillion, four hundred two billion, nine hundred ninety-seven million, one hundred twenty-seven thousand, one hundred sixty-eight.