137427603016704
137,427,603,016,704 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137427603016704 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1408 divisors.
137427603016704 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 137427603016704:
210 × 3 × 7 × 11 × 13 × 37 × 61 × 19801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 37 × 61 × 19801)See below for interesting mathematical facts about the number 137427603016704 from the Numbermatics database.
Names of 137427603016704
- Cardinal: 137427603016704 can be written as One hundred thirty-seven trillion, four hundred twenty-seven billion, six hundred three million, sixteen thousand, seven hundred four.
Scientific notation
- Scientific notation: 1.37427603016704 × 1014
Factors of 137427603016704
Divisors of 137427603016704
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 37 39 42 44 48 52 56 61 64 66 74 77 78 84 88 91 96 104 111 112 122 128 132 143 148 154 156 168 176 182 183 192 208 222 224 231 244 256 259 264 273 286 296 308 312 336 352 364 366 384 407 416 427 429 444 448 462 481 488 512 518 528 546 572 592 616 624 671 672 704 728 732 768 777 793 814 832 854 858 888 896 924 962 976 1001 1024 1036 1056 1092 1144 1184 1221 1232 1248 1281 1342 1344 1408 1443 1456 1464 1536 1554 1586 1628 1664 1708 1716 1776 1792 1848 1924 1952 2002 2013 2072 2112 2184 2257 2288 2368 2379 2442 2464 2496 2562 2684 2688 2816 2849 2886 2912 2928 3003 3072 3108 3172 3256 3328 3367 3416 3432 3552 3584 3696 3848 3904 4004 4026 4144 4224 4368 4514 4576 4697 4736 4758 4884 4928 4992 5124 5291 5368 5376 5551 5632 5698 5772 5824 5856 6006 6216 6344 6512 6656 6734 6771 6832 6864 7104 7168 7392 7696 7808 8008 8052 8288 8448 8547 8723 8736 9028 9152 9394 9472 9516 9768 9856 9984 10101 10248 10582 10736 10752 11102 11264 11396 11544 11648 11712 12012 12432 12688 13024 13312 13468 13542 13664 13728 14091 14208 14784 15392 15616 15799 15873 16016 16104 16576 16653 16896 17094 17446 17472 18056 18304 18788 18944 19032 19536 19712 19801 19968 20202 20496 21164 21472 21504 22204 22792 23088 23296 23424 24024 24827 24864 25376 26048 26169 26936 27084 27328 27456 28182 28416 29341 29568 30784 31232 31598 31746 32032 32208 33152 33306 33792 34188 34892 34944 36112 36608 37037 37576 37888 38064 39072 39424 39602 39936 40404 40992 42328 42944 44408 45584 46176 46592 46848 47397 48048 49654 49728 50752 52096 52338 53872 54168 54656 54912 56364 56832 58682 59136 59403 61061 61568 62464 63196 63492 64064 64416 66304 66612 68376 69784 69888 72224 73216 74074 74481 75152 76128 78144 78848 79204 80808 81984 84656 85888 88023 88816 91168 92352 93184 93696 94794 96096 99308 99456 101504 104192 104676 107744 108336 109312 109824 111111 112728 113664 117364 118272 118806 122122 123136 126392 126984 128128 128832 132608 133224 136752 138607 139568 139776 144448 146432 148148 148962 150304 152256 156288 158408 161616 163968 169312 171776 173789 176046 177632 182336 183183 184704 187392 189588 192192 198616 198912 203008 205387 208384 209352 215488 216672 217811 218624 219648 222222 225456 234728 236544 237612 244244 246272 252784 253968 256256 257413 257664 265216 266448 273504 277214 279136 279552 288896 296296 297924 300608 304512 312576 316816 322751 323232 327936 338624 343552 347578 352092 355264 364672 366366 369408 379176 384384 397232 397824 406016 410774 415821 416768 418704 430976 433344 435622 437248 439296 444444 450912 469456 475224 488488 492544 505568 507936 512512 514826 515328 521367 532896 547008 554428 558272 577792 592592 595848 601216 609024 616161 625152 633632 645502 646464 653433 655872 677248 687104 695156 704184 710528 729344 732637 732732 738816 758352 768768 772239 794464 795648 812032 821548 831642 837408 861952 866688 871244 888888 901824 938912 950448 968253 976976 1011136 1015872 1025024 1029652 1030656 1042734 1065792 1094016 1108856 1116544 1155584 1185184 1191696 1202432 1207861 1218048 1232322 1250304 1267264 1291004 1292928 1306866 1311744 1354496 1390312 1408368 1421056 1458688 1465274 1465464 1477632 1516704 1524677 1537536 1544478 1588928 1643096 1663284 1674816 1723904 1733376 1742488 1777776 1801891 1803648 1877824 1900896 1936506 1953952 2022272 2031744 2059304 2061312 2085468 2131584 2188032 2197911 2217712 2233088 2259257 2311168 2370368 2383392 2404864 2415722 2436096 2464644 2534528 2582008 2585856 2613732 2708992 2780624 2816736 2831543 2842112 2917376 2930548 2930928 3033408 3049354 3075072 3088956 3177856 3286192 3326568 3349632 3447808 3466752 3484976 3555552 3603782 3607296 3623583 3755648 3801792 3873012 3907904 4044544 4063488 4118608 4170936 4263168 4376064 4395822 4435424 4466176 4518514 4574031 4740736 4766784 4809728 4831444 4929288 5069056 5128459 5164016 5171712 5227464 5405673 5417984 5561248 5633472 5663086 5684224 5861096 5861856 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8800435644 8928508512 9295698256 9672550888 9752863744 10010751968 10057640736 10148250112 10204009728 10323587967 10551873696 10831305408 11054343872 11440859392 11733914192 11798386248 11904678016 12059284224 12200603961 12378634752 12781585102 12800633664 12986921472 13410187648 13605346304 13764783956 13943547384 14069164928 14441740544 14508826332 14629295616 15016127952 15222375168 15731181664 15754626048 16079045632 16267471948 16581515808 17067511552 17161289088 17600871288 17857017024 18591396512 19172377653 19345101776 20021503936 20115281472 20296500224 20408019456 20647175934 21103747392 21662610816 22108687744 22881718784 23467828384 23596772496 23809356032 24118568448 24401207922 24757269504 25563170204 25601267328 25973842944 26820375296 27529567912 27887094768 28138329856 28883481088 29017652664 29258591232 30032255904 30444750336 31462363328 32534943896 33163031616 34135023104 34322578176 35201742576 35714034048 37182793024 38344755306 38690203552 40043007872 40230562944 40816038912 41294351868 42207494784 43325221632 44217375488 44735547857 45763437568 46935656768 47193544992 47618712064 48237136896 48802415844 51126340408 51202534656 53640750592 55059135824 55774189536 56276659712 57766962176 58035305328 60064511808 60889500672 62924726656 65069887792 66326063232 68270046208 68645156352 70403485152 71428068096 74365586048 76689510612 77380407104 80086015744 80461125888 82588703736 84414989568 86650443264 88434750976 89471095714 93871313536 94387089984 95237424128 97604831688 102252680816 102405069312 107281501184 110118271648 111548379072 112553319424 116070610656 120129023616 125849453312 130139775584 132652126464 134206643571 137290312704 140806970304 142856136192 148731172096 153379021224 154760814208 160172031488 160922251776 165177407472 168829979136 173300886528 176869501952 178942191428 187742627072 188774179968 195209663376 204505361632 204810138624 220236543296 223096758144 232141221312 240258047232 251698906624 260279551168 265304252928 268413287142 281613940608 285712272384 297462344192 306758042448 309521628416 320344062976 321844503552 330354814944 337659958272 357884382856 375485254144 377548359936 390419326752 409010723264 440473086592 446193516288 464282442624 480516094464 503397813248 520559102336 530608505856 536826574284 563227881216 594924688384 613516084896 619043256832 660709629888 715768765712 750970508288 755096719872 780838653504 818021446528 880946173184 892387032576 928564885248 961032188928 1041118204672 1073653148568 1126455762432 1227032169792 1238086513664 1321419259776 1431537531424 1510193439744 1561677307008 1636042893056 1761892346368 1784774065152 1857129770496 2082236409344 2147306297136 2252911524864 2454064339584 2642838519552 2863075062848 3123354614016 3272085786112 3523784692736 3714259540992 4164472818688 4294612594272 4908128679168 5285677039104 5726150125696 6246709228032 6544171572224 8589225188544 9816257358336 10571354078208 11452300251392 12493418456064 17178450377088 19632514716672 22904600502784 34356900754176 45809201005568 68713801508352 137427603016704
- Sum of all divisors σ(n): 513406597208064
- Sum of proper divisors (its aliquot sum) s(n): 375978994191360
- 137427603016704 is an abundant number, because the sum of its proper divisors (375978994191360) is greater than itself. Its abundance is 238551391174656
Bases of 137427603016704
- Binary: 111110011111101010110110111010111001100000000002
- Hexadecimal: 0x7CFD5B75CC00
- Base-36: 1CPPDAK6IO
Squares and roots of 137427603016704
- 137427603016704 squared (1374276030167042) is 18886346070916790361303023616
- 137427603016704 cubed (1374276030167043) is 2595505270270040036575972558394478154481664
-
The
square root of 137427603016704 is 11722951.9753645669 -
The
cube root of 137427603016704 is 51604.9455199081
Scales and comparisons
How big is 137427603016704?- 137,427,603,016,704 seconds is equal to 4,369,772 years, 35 weeks, 4 days, 3 hours, 18 minutes, 24 seconds.
-
To count from 1 to 137,427,603,016,704 would take you about ten million, nine hundred twenty-four thousand, four hundred thirty-one 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 137427603016704 cubic inches would be around 4300.4 feet tall.
Recreational maths with 137427603016704
- 137427603016704 backwards is 407610306724731
- The number of decimal digits it has is: 15
- The sum of 137427603016704's digits is 51
- More coming soon!
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The information we have on file for 137427603016704 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 137427603016704, math, Factors of 137427603016704, curriculum, school, college, exams, university, Prime factorization of 137427603016704, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, four hundred twenty-seven billion, six hundred three million, sixteen thousand, seven hundred four.