138946313298746496
138,946,313,298,746,496 is an even composite number composed of seven prime numbers multiplied together.
138946313298746496 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 138946313298746496:
27 × 3 × 17 × 127 × 137 × 17033 × 71821
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 127 × 137 × 17033 × 71821)See below for interesting mathematical facts about the number 138946313298746496 from the Numbermatics database.
Names of 138946313298746496
- Cardinal: 138946313298746496 can be written as One hundred thirty-eight quadrillion, nine hundred forty-six trillion, three hundred thirteen billion, two hundred ninety-eight million, seven hundred forty-six thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 1.38946313298746496 × 1017
Factors of 138946313298746496
Divisors of 138946313298746496
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 127 128 136 137 192 204 254 272 274 381 384 408 411 508 544 548 762 816 822 1016 1088 1096 1524 1632 1644 2032 2159 2176 2192 2329 3048 3264 3288 4064 4318 4384 4658 6096 6477 6528 6576 6987 8128 8636 8768 9316 12192 12954 13152 13974 16256 17033 17272 17399 17536 18632 24384 25908 26304 27948 34066 34544 34798 37264 48768 51099 51816 52197 52608 55896 68132 69088 69596 71821 74528 102198 103632 104394 111792 136264 138176 139192 143642 149056 204396 207264 208788 215463 223584 272528 276352 278384 287284 289561 295783 298112 408792 414528 417576 430926 447168 545056 556768 574568 579122 591566 817584 829056 835152 861852 868683 887349 894336 1090112 1113536 1149136 1158244 1183132 1220957 1635168 1670304 1723704 1737366 1774698 2163191 2180224 2227072 2298272 2316488 2333521 2366264 2441914 3270336 3340608 3447408 3474732 3549396 3662871 4326382 4596544 4632976 4667042 4732528 4883828 6489573 6540672 6681216 6894816 6949464 7000563 7098792 7325742 8652764 9121267 9193088 9265952 9334084 9465056 9767656 9839477 12979146 13789632 13898928 14001126 14197584 14651484 17305528 18242534 18531904 18668168 18930112 19535312 19678954 25958292 27363801 27579264 27797856 28002252 28395168 29302968 29518431 34611056 36485068 36774247 37063808 37336336 37860224 39070624 39357908 39669857 51916584 54727602 55595712 56004504 56790336 58605936 59036862 69222112 72970136 73548494 74672672 78141248 78715816 79339714 103833168 109455204 110322741 111191424 112009008 113580672 117211872 118073724 119009571 138444224 145940272 147096988 149345344 155061539 156282496 157431632 158679428 167271109 207666336 218910408 220645482 224018016 234423744 236147448 238019142 276888448 291880544 294193976 296357167 298690688 310123078 314863264 317358856 334542218 415332672 437820816 441290964 448036032 465184617 468847488 472294896 476038284 501813327 583761088 588387952 592714334 620246156 629726528 634717712 669084436 830665344 875641632 882581928 889071501 896072064 930369234 944589792 952076568 1003626654 1167522176 1176775904 1185428668 1223327093 1240492312 1249613579 1259453056 1269435424 1338168872 1751283264 1765163856 1778143002 1860738468 1889179584 1904153136 2007253308 2353551808 2370857336 2446654186 2480984624 2499227158 2538870848 2676337744 3502566528 3530327712 3556286004 3669981279 3721476936 3748840737 3778359168 3808306272 4014506616 4707103616 4741714672 4893308372 4961969248 4998454316 5038071839 5077741696 5352675488 7060655424 7112572008 7339962558 7442953872 7497681474 7616612544 8029013232 9483429344 9786616744 9923938496 9996908632 10076143678 10705350976 14121310848 14225144016 14679925116 14885907744 14995362948 15114215517 15233225088 16058026464 18966858688 19573233488 19847876992 19993817264 20152287356 20796560581 21243430843 21410701952 28450288032 29359850232 29771815488 29990725896 30228431034 32116052928 37933717376 39146466976 39987634528 40304574712 41593121162 42486861686 56900576064 58719700464 59543630976 59981451792 60456862068 62389681743 63730292529 64232105856 78292933952 79975269056 80609149424 83186242324 84973723372 113801152128 117439400928 119962903584 120913724136 124779363486 127460585058 155362540811 156585867904 159950538112 161218298848 166372484648 167595811741 169947446744 234878801856 239925807168 241827448272 249558726972 254921170116 310725081622 322436597696 332744969296 335191623482 339894893488 466087622433 469757603712 479851614336 483654896544 499117453944 502787435223 509842340232 621450163244 644873195392 665489938592 670383246964 679789786976 932175244866 967309793088 998234907888 1005574870446 1019684680464 1242900326488 1330979877184 1340766493928 1359579573952 1864350489732 1934619586176 1996469815776 2011149740892 2039369360928 2485800652976 2641163193787 2661959754368 2681532987856 2719159147904 2849128799597 3728700979464 3992939631552 4022299481784 4078738721856 4971601305952 5282326387574 5363065975712 5698257599194 7457401958928 7923489581361 7985879263104 8044598963568 8157477443712 8547386398791 9943202611904 10564652775148 10726131951424 11396515198388 14914803917856 15846979162722 16089197927136 17094772797582 19886405223808 21129305550296 21284668091107 21452263902848 22793030396776 29829607835712 31693958325444 32178395854272 34189545595164 42258611100592 42569336182214 45586060793552 59659215671424 63387916650888 63854004273321 64356791708544 68379091190328 84517222201184 85138672364428 91172121587104 126775833301776 127708008546642 136758182380656 169034444402368 170277344728856 182344243174208 253551666603552 255416017093284 273516364761312 338068888804736 340554689457712 361839357548819 364688486348416 507103333207104 510832034186568 547032729522624 681109378915424 723678715097638 1014206666414208 1021664068373136 1085518072646457 1094065459045248 1362218757830848 1447357430195276 2043328136746272 2171036145292914 2724437515661696 2894714860390552 4086656273492544 4342072290585828 5789429720781104 8173312546985088 8684144581171656 11578859441562208 17368289162343312 23157718883124416 34736578324686624 46315437766248832 69473156649373248 138946313298746496
- Sum of all divisors σ(n): 396767298448465920
- Sum of proper divisors (its aliquot sum) s(n): 257820985149719424
- 138946313298746496 is an abundant number, because the sum of its proper divisors (257820985149719424) is greater than itself. Its abundance is 118874671850972928
Bases of 138946313298746496
- Binary: 1111011011010001011101111100011110000010110011100100000002
- Hexadecimal: 0x1EDA2EF8F059C80
- Base-36: 1204CV4QKQDC
Squares and roots of 138946313298746496
- 138946313298746496 squared (1389463132987464962) is 19306077979313417370987964872278016
- 138946313298746496 cubed (1389463132987464963) is 2682508359483712762951574811744732797919152817831936
-
The
square root of 138946313298746496 is 372755031.2185557825 -
The
cube root of 138946313298746496 is 517943.4468886371
Scales and comparisons
How big is 138946313298746496?- 138,946,313,298,746,496 seconds is equal to 4,418,062,973 years, 38 weeks, 1 day, 4 hours, 41 minutes, 36 seconds.
-
To count from 1 to 138,946,313,298,746,496 would take you about thirteen billion, two hundred fifty-four million, one hundred eighty-eight thousand, nine hundred twenty-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 138946313298746496 cubic inches would be around 43162 feet tall.
Recreational maths with 138946313298746496
- 138946313298746496 backwards is 694647892313649831
- The number of decimal digits it has is: 18
- The sum of 138946313298746496's digits is 93
- More coming soon!
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The information we have on file for 138946313298746496 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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