137638137728
137,638,137,728 is an even composite number composed of seven prime numbers multiplied together.
137638137728 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 137638137728:
27 × 7 × 13 × 19 × 59 × 83 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 19 × 59 × 83 × 127)See below for interesting mathematical facts about the number 137638137728 from the Numbermatics database.
Names of 137638137728
- Cardinal: 137638137728 can be written as One hundred thirty-seven billion, six hundred thirty-eight million, one hundred thirty-seven thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37638137728 × 1011
Factors of 137638137728
Divisors of 137638137728
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 59 64 76 83 91 104 112 118 127 128 133 152 166 182 208 224 236 247 254 266 304 332 364 413 416 448 472 494 508 532 581 608 664 728 767 826 832 889 896 944 988 1016 1064 1079 1121 1162 1216 1328 1456 1534 1577 1651 1652 1664 1729 1778 1888 1976 2032 2128 2158 2242 2324 2413 2432 2656 2912 3068 3154 3302 3304 3458 3556 3776 3952 4064 4256 4316 4484 4648 4826 4897 5312 5369 5824 6136 6308 6604 6608 6916 7112 7493 7552 7553 7847 7904 8128 8512 8632 8968 9296 9652 9794 10541 10624 10738 11039 11557 11648 12272 12616 13208 13216 13832 14224 14573 14986 15106 15694 15808 16256 16891 17024 17264 17936 18592 19304 19588 20501 21082 21476 22078 23114 24544 25232 26416 26432 27664 28448 29146 29972 30212 31369 31388 31616 33782 34279 34528 35872 37184 38608 39176 41002 42164 42952 44156 46228 49088 50464 52451 52832 52864 55328 56896 58292 59944 60424 62738 62776 63661 67564 68558 69056 71744 73787 74368 77216 78352 82004 84328 85904 88312 92456 93043 97409 98176 100928 102011 104902 105664 110656 113792 116584 119888 120848 125476 125552 127322 135128 137033 137116 138112 142367 143488 143507 147574 154432 156704 164008 168656 171808 176624 184912 186086 194818 200279 201856 204022 209804 211328 219583 221312 233168 239776 241696 250952 251104 254644 270256 274066 274232 284734 287014 295148 308864 313408 328016 337312 343616 353248 369824 372172 389636 400558 408044 419608 439166 445627 466336 479552 483392 501904 502208 509288 540512 548132 548464 569468 574028 590296 621919 626816 651301 656032 674624 681863 687232 706496 739648 744344 779272 801116 816088 839216 878332 891254 932672 959104 959231 966784 996569 1003808 1004416 1018576 1081024 1096264 1096928 1138936 1148056 1180592 1209559 1243838 1302602 1312064 1349248 1363726 1401953 1412992 1479296 1488688 1558544 1602232 1632176 1678432 1756664 1782508 1850771 1865344 1918462 1993138 2007616 2037152 2162048 2192528 2193856 2277872 2296112 2361184 2419118 2487676 2603627 2605204 2624128 2727452 2803906 2977376 3117088 3204464 3264352 3356864 3513328 3565016 3701542 3836924 3986276 4015232 4074304 4353433 4385056 4387712 4555744 4592224 4722368 4838236 4975352 5207254 5210408 5454904 5607812 5954752 6234176 6408928 6528704 6713728 7026656 7130032 7403084 7673848 7972552 8084947 8148608 8466913 8706866 8770112 9111488 9184448 9444736 9676472 9950704 10414508 10420816 10909808 11215624 11816461 11909504 12468352 12817856 12955397 13057408 14053312 14260064 14806168 15347696 15945104 16169894 16933826 17413732 17540224 18222976 18225389 18368896 19352944 19901408 20829016 20841632 21819616 22431248 23632922 25635712 25910794 28106624 28520128 29612336 30695392 31890208 32339788 33867652 34827464 36450778 38705888 39802816 41658032 41683264 43639232 44862496 47265844 51821588 56594629 57040256 59224672 61390784 63780416 64679576 67735304 69654928 72901556 77411776 79605632 82715227 83316064 83366528 87278464 89724992 94531688 103643176 113189258 118449344 122781568 127560832 129359152 135470608 139309856 145803112 153613993 154823552 165430454 166632128 179449984 189063376 207286352 226378516 236898688 258718304 270941216 278619712 291606224 307227986 330860908 333264256 378126752 414572704 452757032 517436608 541882432 557239424 583212448 614455972 661721816 756253504 829145408 905514064 1034873216 1075297951 1083764864 1166424896 1228911944 1323443632 1512507008 1658290816 1811028128 2150595902 2332849792 2457823888 2646887264 3622056256 4301191804 4915647776 5293774528 7244112512 8602383608 9831295552 10587549056 17204767216 19662591104 34409534432 68819068864 137638137728
- Sum of all divisors σ(n): 368492544000
- Sum of proper divisors (its aliquot sum) s(n): 230854406272
- 137638137728 is an abundant number, because the sum of its proper divisors (230854406272) is greater than itself. Its abundance is 93216268544
Bases of 137638137728
- Binary: 100000000010111101111101001111100000002
- Hexadecimal: 0x200BDF4F80
- Base-36: 1R8A6YRK
Squares and roots of 137638137728
- 137638137728 squared (1376381377282) is 18944256957231897001984
- 137638137728 cubed (1376381377283) is 2607452248234106045193784081252352
-
The
square root of 137638137728 is 370996.1424705115 -
The
cube root of 137638137728 is 5163.1284452057
Scales and comparisons
How big is 137638137728?- 137,638,137,728 seconds is equal to 4,376 years, 24 weeks, 2 days, 2 minutes, 8 seconds.
-
To count from 1 to 137,638,137,728 would take you about eight thousand, seven hundred fifty-two 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 137638137728 cubic inches would be around 430.3 feet tall.
Recreational maths with 137638137728
- 137638137728 backwards is 827731836731
- 137638137728 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137638137728's digits is 56
- More coming soon!
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