137931236352
137,931,236,352 is an even composite number composed of six prime numbers multiplied together.
137931236352 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twenty-eight divisors.
Prime factorization of 137931236352:
210 × 32 × 7 × 13 × 163 × 1009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 163 × 1009)See below for interesting mathematical facts about the number 137931236352 from the Numbermatics database.
Names of 137931236352
- Cardinal: 137931236352 can be written as One hundred thirty-seven billion, nine hundred thirty-one million, two hundred thirty-six thousand, three hundred fifty-two.
Scientific notation
- Scientific notation: 1.37931236352 × 1011
Factors of 137931236352
Divisors of 137931236352
- Number of divisors d(n): 528
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 84 91 96 104 112 117 126 128 144 156 163 168 182 192 208 224 234 252 256 273 288 312 326 336 364 384 416 448 468 489 504 512 546 576 624 652 672 728 768 819 832 896 936 978 1008 1009 1024 1092 1141 1152 1248 1304 1344 1456 1467 1536 1638 1664 1792 1872 1956 2016 2018 2119 2184 2282 2304 2496 2608 2688 2912 2934 3027 3072 3276 3328 3423 3584 3744 3912 4032 4036 4238 4368 4564 4608 4992 5216 5376 5824 5868 6054 6357 6552 6656 6846 7063 7168 7488 7824 8064 8072 8476 8736 9081 9128 9216 9984 10269 10432 10752 11648 11736 12108 12714 13104 13117 13312 13692 14126 14833 14976 15648 16128 16144 16952 17472 18162 18256 19071 19968 20538 20864 21189 21504 23296 23472 24216 25428 26208 26234 27384 28252 29666 29952 31296 32256 32288 33904 34944 36324 36512 38142 39351 39936 41076 41728 42378 44499 46592 46944 48432 50856 52416 52468 54768 56504 59332 59904 62592 63567 64512 64576 67808 69888 72648 73024 76284 78702 82152 83456 84756 88998 91819 93184 93888 96864 101712 104832 104936 109536 113008 118053 118664 119808 125184 127134 129152 133497 135616 139776 145296 146048 152568 157404 164304 164467 166912 169512 177996 183638 187776 193728 203424 209664 209872 219072 226016 236106 237328 250368 254268 258304 266994 271232 275457 279552 290592 292096 305136 314808 328608 328934 339024 355992 367276 375552 387456 406848 419328 419744 438144 452032 472212 474656 493401 500736 508536 516608 533988 542464 550914 581184 584192 610272 629616 657216 657868 678048 711984 734552 751104 774912 813696 826371 838656 839488 876288 904064 944424 949312 986802 1017072 1033216 1067976 1084928 1101828 1151269 1162368 1168384 1220544 1259232 1314432 1315736 1356096 1423968 1469104 1480203 1502208 1549824 1627392 1652742 1678976 1752576 1808128 1888848 1898624 1973604 2034144 2135952 2138071 2169856 2203656 2302538 2324736 2441088 2518464 2628864 2631472 2712192 2847936 2938208 2960406 3099648 3254784 3305484 3357952 3453807 3505152 3616256 3777696 3797248 3947208 4068288 4271904 4276142 4407312 4605076 4649472 4882176 5036928 5257728 5262944 5424384 5695872 5876416 5920812 6414213 6509568 6610968 6715904 6907614 7232512 7555392 7594496 7894416 8136576 8543808 8552284 8814624 9210152 9298944 9764352 10073856 10361421 10515456 10525888 10848768 11391744 11752832 11841624 12828426 13221936 13431808 13815228 14966497 15110784 15188992 15788832 16273152 17087616 17104568 17629248 18420304 19242639 19528704 20147712 20722842 21051776 21697536 22783488 23505664 23683248 25656852 26443872 27630456 29932994 30221568 31577664 32546304 34175232 34209136 35258496 36840608 38485278 40295424 41445684 42103552 44899491 45566976 47011328 47366496 51313704 52887744 55260912 59865988 60443136 63155328 65092608 68350464 68418272 70516992 73681216 76970556 82891368 84207104 89798982 94022656 94732992 102627408 105775488 110521824 119731976 120886272 126310656 134698473 136700928 136836544 141033984 147362432 153941112 165782736 168414208 179597964 189465984 205254816 211550976 221043648 239463952 252621312 269396946 273673088 282067968 294724864 307882224 331565472 359195928 378931968 410509632 423101952 442087296 478927904 505242624 538793892 547346176 589449728 615764448 663130944 718391856 757863936 821019264 846203904 884174592 957855808 1077587784 1094692352 1178899456 1231528896 1326261888 1436783712 1515727872 1642038528 1768349184 1915711616 2155175568 2189384704 2463057792 2652523776 2873567424 3284077056 3536698368 3831423232 4310351136 4926115584 5305047552 5747134848 6568154112 7662846464 8620702272 9852231168 10610095104 11494269696 15325692928 17241404544 19704462336 22988539392 34482809088 45977078784 68965618176 137931236352
- Sum of all divisors σ(n): 493678756480
- Sum of proper divisors (its aliquot sum) s(n): 355747520128
- 137931236352 is an abundant number, because the sum of its proper divisors (355747520128) is greater than itself. Its abundance is 217816283776
Bases of 137931236352
- Binary: 100000000111010101011110100100000000002
- Hexadecimal: 0x201D57A400
- Base-36: 1RD4P340
Squares and roots of 137931236352
- 137931236352 squared (1379312363522) is 19025025961591286267904
- 137931236352 cubed (1379312363523) is 2624145352511183780241958615646208
-
The
square root of 137931236352 is 371390.9481287877 -
The
cube root of 137931236352 is 5166.7907850881
Scales and comparisons
How big is 137931236352?- 137,931,236,352 seconds is equal to 4,385 years, 40 weeks, 6 days, 8 hours, 19 minutes, 12 seconds.
-
To count from 1 to 137,931,236,352 would take you about eight thousand, seven hundred seventy-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 137931236352 cubic inches would be around 430.6 feet tall.
Recreational maths with 137931236352
- 137931236352 backwards is 253632139731
- The number of decimal digits it has is: 12
- The sum of 137931236352's digits is 45
- More coming soon!
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