137053323264
137,053,323,264 is an even composite number composed of seven prime numbers multiplied together.
137053323264 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 137053323264:
214 × 3 × 11 × 13 × 17 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 17 × 31 × 37)See below for interesting mathematical facts about the number 137053323264 from the Numbermatics database.
Names of 137053323264
- Cardinal: 137053323264 can be written as One hundred thirty-seven billion, fifty-three million, three hundred twenty-three thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.37053323264 × 1011
Factors of 137053323264
Divisors of 137053323264
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 17 22 24 26 31 32 33 34 37 39 44 48 51 52 62 64 66 68 74 78 88 93 96 102 104 111 124 128 132 136 143 148 156 176 186 187 192 204 208 221 222 248 256 264 272 286 296 312 341 352 372 374 384 403 407 408 416 429 442 444 481 496 512 527 528 544 561 572 592 624 629 663 682 704 744 748 768 806 814 816 832 858 884 888 962 992 1023 1024 1054 1056 1088 1122 1144 1147 1184 1209 1221 1248 1258 1326 1364 1408 1443 1488 1496 1536 1581 1612 1628 1632 1664 1716 1768 1776 1887 1924 1984 2046 2048 2108 2112 2176 2244 2288 2294 2368 2418 2431 2442 2496 2516 2652 2728 2816 2886 2976 2992 3072 3162 3224 3256 3264 3328 3432 3441 3536 3552 3774 3848 3968 4092 4096 4216 4224 4352 4433 4488 4576 4588 4736 4836 4862 4884 4992 5032 5291 5304 5456 5632 5772 5797 5952 5984 6144 6324 6448 6512 6528 6656 6851 6864 6882 6919 7072 7104 7293 7548 7696 7936 8177 8184 8192 8432 8448 8704 8866 8976 9152 9176 9472 9672 9724 9768 9984 10064 10582 10608 10912 11264 11544 11594 11904 11968 12288 12617 12648 12896 13024 13056 13299 13312 13702 13728 13764 13838 14144 14208 14586 14911 15096 15392 15872 15873 16354 16368 16384 16864 16896 17391 17408 17732 17952 18304 18352 18944 19344 19448 19499 19536 19968 20128 20553 20757 21164 21216 21824 22528 23088 23188 23808 23936 24531 24576 25234 25296 25792 26048 26112 26598 26624 27404 27456 27528 27676 28288 28416 29172 29822 30192 30784 31744 31746 32708 32736 33728 33792 34782 34816 35464 35904 36608 36704 37851 37888 38688 38896 38998 39072 39936 40256 41106 41514 42328 42432 43648 44733 45056 46176 46376 47616 47872 49062 49152 50468 50592 51584 52096 52224 53196 53248 54808 54912 55056 55352 56576 56832 58344 58497 59644 60384 61568 63488 63492 65416 65472 67456 67584 69564 69632 70928 71808 73216 73408 75361 75702 75776 77376 77792 77996 78144 79872 80512 82212 83028 84656 84864 87296 89466 89947 90112 92352 92752 95232 95744 98124 100936 101184 103168 104192 104448 106392 106496 109616 109824 110112 110704 113152 113664 116688 116994 119288 120768 123136 126976 126984 130832 130944 134912 135168 139128 139264 141856 143616 146432 146816 150722 151404 151552 154752 155584 155992 156288 159744 161024 164021 164424 166056 169312 169728 174592 178932 179894 180224 184704 185504 190464 191488 196248 201872 202368 206336 208384 208896 212784 212992 214489 219232 219648 220224 221408 226083 226304 227328 233376 233988 238576 241536 246272 253487 253952 253968 261664 261888 269824 269841 270336 278256 278528 283712 287232 292864 293632 301444 302808 303104 309504 311168 311984 312576 319488 322048 328042 328848 332112 338624 339456 349184 357864 359788 369408 371008 380928 382976 392496 403744 404736 412672 416768 417792 425568 428978 438464 439296 440448 442816 452166 452608 454656 466752 467976 477152 483072 492063 492544 506974 507904 507936 523328 523776 539648 539682 540672 556512 567424 574464 585728 587264 602888 605616 606208 619008 622336 623968 625152 638976 643467 644096 656084 657696 664224 677248 678912 698368 715728 719576 738816 742016 760461 761856 765952 784992 807488 809472 825344 833536 835584 851136 857956 876928 878592 880896 885632 904332 905216 909312 933504 935952 954304 966144 984126 985088 1013948 1015872 1046656 1047552 1079296 1079364 1113024 1134848 1148928 1171456 1174528 1205776 1211232 1238016 1244672 1247936 1250304 1286934 1288192 1312168 1315392 1328448 1354496 1357824 1396736 1431456 1439152 1477632 1484032 1520922 1523712 1531904 1569984 1614976 1618944 1650688 1667072 1702272 1715912 1753856 1757184 1761792 1771264 1808664 1810432 1818624 1867008 1871904 1908608 1932288 1968252 1970176 2027896 2031744 2093312 2095104 2158592 2158728 2226048 2269696 2297856 2342912 2349056 2411552 2422464 2476032 2489344 2495872 2500608 2573868 2576384 2624336 2630784 2656896 2708992 2715648 2788357 2793472 2862912 2878304 2955264 2968064 3041844 3063808 3139968 3229952 3237888 3301376 3334144 3404544 3431824 3507712 3514368 3523584 3542528 3617328 3620864 3734016 3743808 3817216 3864576 3936504 3940352 4055792 4063488 4186624 4190208 4317184 4317456 4452096 4539392 4595712 4698112 4823104 4844928 4952064 4978688 4991744 5001216 5147736 5152768 5248672 5261568 5313792 5417984 5431296 5576714 5586944 5725824 5756608 5910528 5936128 6083688 6279936 6459904 6475776 6602752 6668288 6809088 6863648 7015424 7028736 7047168 7085056 7234656 7468032 7487616 7634432 7729152 7873008 7880704 8111584 8126976 8365071 8373248 8380416 8634368 8634912 8904192 9078784 9191424 9396224 9646208 9689856 9904128 9957376 9983488 10002432 10295472 10305536 10497344 10523136 10627584 10835968 10862592 11153428 11451648 11513216 11821056 11872256 12167376 12559872 12919808 12951552 13618176 13727296 14030848 14094336 14170112 14469312 14936064 14975232 15268864 15458304 15746016 16223168 16253952 16730142 16746496 16760832 17269824 17808384 18157568 18792448 19292416 19379712 19808256 19914752 19966976 20004864 20590944 20994688 21046272 21255168 21671936 22306856 22903296 23026432 23642112 23744512 24334752 25119744 25839616 25903104 27236352 27454592 28061696 28188672 28340224 28938624 29872128 29950464 30537728 30916608 31492032 32446336 32507904 33460284 33492992 34539648 35616768 36315136 38584832 38759424 39829504 39933952 41181888 41989376 42092544 42510336 43343872 44613712 45806592 46052864 47489024 48669504 50239488 51679232 54472704 54909184 56123392 56377344 56680448 57877248 59744256 59900928 61075456 62984064 64892672 65015808 66920568 66985984 69079296 71233536 72630272 77169664 77518848 79867904 82363776 83978752 84185088 85020672 86687744 89227424 91613184 92105728 94978048 97339008 100478976 103358464 108945408 109818368 112246784 113360896 115754496 119488512 119801856 122150912 125968128 129785344 130031616 133841136 133971968 138158592 142467072 154339328 155037696 159735808 164727552 167957504 168370176 170041344 178454848 183226368 184211456 194678016 200957952 206716928 217890816 219636736 231508992 239603712 244301824 251936256 259570688 260063232 267682272 276317184 284934144 308678656 310075392 319471616 329455104 335915008 336740352 340082688 356909696 366452736 368422912 389356032 401915904 439273472 463017984 479207424 503872512 519141376 535364544 552634368 617357312 620150784 658910208 671830016 713819392 732905472 736845824 778712064 878546944 926035968 958414848 1007745024 1038282752 1070729088 1105268736 1234714624 1317820416 1343660032 1427638784 1473691648 1557424128 1757093888 1852071936 2015490048 2076565504 2141458176 2210537472 2635640832 2687320064 2855277568 3114848256 3514187776 3704143872 4030980096 4153131008 4282916352 4421074944 5271281664 5710555136 6229696512 8061960192 8565832704 10542563328 11421110272 12459393024 17131665408 22842220544 34263330816 45684441088 68526661632 137053323264
- Sum of all divisors σ(n): 481961152512
- Sum of proper divisors (its aliquot sum) s(n): 344907829248
- 137053323264 is an abundant number, because the sum of its proper divisors (344907829248) is greater than itself. Its abundance is 207854505984
Bases of 137053323264
- Binary: 11111111010010000001111000000000000002
- Hexadecimal: 0x1FE903C000
- Base-36: 1QYM0D1C
Squares and roots of 137053323264
- 137053323264 squared (1370533232642) is 18783613417706483613696
- 137053323264 cubed (1370533232643) is 2574356641802934560176596785823744
-
The
square root of 137053323264 is 370207.1356200471 -
The
cube root of 137053323264 is 5155.8054777157
Scales and comparisons
How big is 137053323264?- 137,053,323,264 seconds is equal to 4,357 years, 45 weeks, 2 days, 7 hours, 34 minutes, 24 seconds.
-
To count from 1 to 137,053,323,264 would take you about eight thousand, seven hundred fifteen 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 137053323264 cubic inches would be around 429.7 feet tall.
Recreational maths with 137053323264
- 137053323264 backwards is 462323350731
- 137053323264 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137053323264's digits is 39
- More coming soon!
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The information we have on file for 137053323264 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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