137838133128127753152
137,838,133,128,127,753,152 is an even composite number composed of four prime numbers multiplied together.
137838133128127753152 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 137838133128127753152:
26 × 33 × 133 × 331132
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 13 × 33113 × 33113)See below for interesting mathematical facts about the number 137838133128127753152 from the Numbermatics database.
Names of 137838133128127753152
- Cardinal: 137838133128127753152 can be written as One hundred thirty-seven quintillion, eight hundred thirty-eight quadrillion, one hundred thirty-three trillion, one hundred twenty-eight billion, one hundred twenty-seven million, seven hundred fifty-three thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.37838133128127753152 × 1020
Factors of 137838133128127753152
Divisors of 137838133128127753152
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 169 192 208 216 234 288 312 338 351 416 432 468 507 576 624 676 702 832 864 936 1014 1248 1352 1404 1521 1728 1872 2028 2197 2496 2704 2808 3042 3744 4056 4394 4563 5408 5616 6084 6591 7488 8112 8788 9126 10816 11232 12168 13182 16224 17576 18252 19773 22464 24336 26364 32448 33113 35152 36504 39546 48672 52728 59319 66226 70304 73008 79092 97344 99339 105456 118638 132452 140608 146016 158184 198678 210912 237276 264904 292032 298017 316368 397356 421824 430469 474552 529808 596034 632736 794712 860938 894051 949104 1059616 1192068 1265472 1291407 1589424 1721876 1788102 1898208 2119232 2384136 2582814 3178848 3443752 3576204 3796416 3874221 4768272 5165628 5596097 6357696 6887504 7152408 7748442 9536544 10331256 11192194 11622663 13775008 14304816 15496884 16788291 19073088 20662512 22384388 23245326 27550016 28609632 30993768 33576582 41325024 44768776 46490652 50364873 57219264 61987536 67153164 72749261 82650048 89537552 92981304 100729746 123975072 134306328 145498522 151094619 179075104 185962608 201459492 218247783 247950144 268612656 290997044 302189238 358150208 371925216 402918984 436495566 537225312 581994088 604378476 654743349 743850432 805837968 872991132 1074450624 1096470769 1163988176 1208756952 1309486698 1611675936 1745982264 1964230047 2192941538 2327976352 2417513904 2618973396 3223351872 3289412307 3491964528 3928460094 4385883076 4655952704 4835027808 5237946792 6578824614 6983929056 7856920188 8771766152 9670055616 9868236921 10475893584 13157649228 13967858112 14254119997 15713840376 17543532304 19736473842 20951787168 26315298456 28508239994 29604710763 31427680752 35087064608 39472947684 41903574336 42762359991 52630596912 57016479988 59209421526 62855361504 70174129216 78945895368 85524719982 105261193824 114032959976 118418843052 125710723008 128287079973 157891790736 171049439964 185303559961 210522387648 228065919952 236837686104 256574159946 315783581472 342098879928 370607119922 384861239919 456131839904 473675372208 513148319892 555910679883 631567162944 684197759856 741214239844 769722479838 912263679808 947350744416 1026296639784 1111821359766 1368395519712 1482428479688 1539444959676 1667732039649 1894701488832 2052593279568 2223642719532 2408946279493 2736791039424 2964856959376 3078889919352 3335464079298 4105186559136 4447285439064 4817892558986 5003196118947 5929713918752 6157779838704 6670928158596 7226838838479 8210373118272 8894570878128 9635785117972 10006392237894 11859427837504 12315559677408 13341856317192 14453677676958 17789141756256 19271570235944 20012784475788 21680516515437 24631119354816 26683712634384 28907355353916 35578283512512 38543140471888 40025568951576 43361033030874 53367425268768 57814710707832 65041549546311 77086280943776 80051137903152 86722066061748 106734850537536 115629421415664 130083099092622 154172561887552 160102275806304 173444132123496 231258842831328 260166198185244 320204551612608 346888264246992 462517685662656 520332396370488 693776528493984 1040664792740976 1387553056987968 2081329585481952 4162659170963904
- Sum of all divisors σ(n): 137847227639503812448
- Sum of proper divisors (its aliquot sum) s(n): 9094511376059296
- 137838133128127753152 is a deficient number, because the sum of its proper divisors (9094511376059296) is less than itself. Its deficiency is 137829038616751693856
Bases of 137838133128127753152
- Binary: 11101111000111000110110101111001000010001010000111010101011110000002
- Hexadecimal: 0x778E36BC8450EABC0
- Base-36: T389G9PBDLYO0
Squares and roots of 137838133128127753152
- 137838133128127753152 squared (1378381331281277531522) is 18999350944247469576329811559779845935104
- 137838133128127753152 cubed (1378381331281277531523) is 2618835064801202444208360113918487972392522712269595923447808
-
The
square root of 137838133128127753152 is 11740448591.4349862695 -
137838133128127753152 is a
perfect cube number . Itscube root is 5165628
Scales and comparisons
How big is 137838133128127753152?- 137,838,133,128,127,753,152 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,838,133,128,127,753,152 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137838133128127753152 cubic inches would be around 430469 feet tall.
Recreational maths with 137838133128127753152
- 137838133128127753152 backwards is 251357721821331838731
- The number of decimal digits it has is: 21
- The sum of 137838133128127753152's digits is 81
- More coming soon!
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