137033817382
137,033,817,382 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137033817382 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 288 divisors.
137033817382 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137033817382:
2 × 72 × 11 × 192 × 31 × 37 × 307
(2 × 7 × 7 × 11 × 19 × 19 × 31 × 37 × 307)See below for interesting mathematical facts about the number 137033817382 from the Numbermatics database.
Names of 137033817382
- Cardinal: 137033817382 can be written as One hundred thirty-seven billion, thirty-three million, eight hundred seventeen thousand, three hundred eighty-two.
Scientific notation
- Scientific notation: 1.37033817382 × 1011
Factors of 137033817382
Divisors of 137033817382
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 7 11 14 19 22 31 37 38 49 62 74 77 98 133 154 209 217 259 266 307 341 361 407 418 434 518 539 589 614 682 703 722 814 931 1078 1147 1178 1406 1463 1519 1813 1862 2149 2294 2387 2527 2849 2926 3038 3377 3626 3971 4123 4298 4774 4921 5054 5698 5833 6479 6754 7733 7942 8029 8246 9517 9842 10241 11191 11359 11666 12617 12958 13357 15043 15466 16058 16709 17689 19034 19943 20482 21793 22382 22718 23639 25234 26714 27797 28861 30086 33418 34447 35378 39886 40831 43586 45353 47278 54131 55594 56203 57722 64163 66619 68894 78337 79513 81662 88319 90706 93499 104687 108262 110827 112406 123101 124949 128326 133238 146927 152551 156674 159026 165473 176638 180823 186998 194579 209374 215821 221654 239723 246202 249898 285817 293854 305102 317471 330946 352129 361646 378917 389158 414067 431642 449141 466333 479446 548359 556591 571634 618233 634942 654493 704258 732809 757834 775789 828134 861707 874643 898282 932666 1028489 1067857 1096718 1113182 1219097 1236466 1265761 1308986 1465618 1510747 1551578 1678061 1723414 1749286 1989053 2056978 2135714 2374031 2438194 2464903 2531522 2898469 3021494 3143987 3356122 3435637 3873419 3978106 4100599 4554737 4748062 4929806 5129663 5430523 5796938 6031949 6122501 6287974 6690451 6871274 7199423 7746838 8201198 8533679 8860327 9109474 10259326 10575229 10861046 11746427 12063898 12245002 13380902 13923371 14398846 16618217 17067358 17254321 17720654 20289283 21150458 23492854 24049459 27113933 27846742 28704193 31883159 33236434 34508642 37792007 40578566 45106589 46833157 48098918 54227866 57408386 59735753 63766318 73594961 75584014 90213178 93666314 97463597 116327519 119471506 127118569 147189922 168346213 189797531 194927194 200929351 223182113 232655038 254237138 264544049 315746123 327832099 336692426 379595062 401858702 446364226 515164727 529088098 631492246 655664198 889829983 1030329454 1398304259 1779659966 1851808343 2210222861 2796608518 3606153089 3703616686 4420445722 6228809881 7212306178 9788129813 12457619762 19576259626 68516908691 137033817382
- Sum of all divisors σ(n): 292810484736
- Sum of proper divisors (its aliquot sum) s(n): 155776667354
- 137033817382 is an abundant number, because the sum of its proper divisors (155776667354) is greater than itself. Its abundance is 18742849972
Bases of 137033817382
- Binary: 11111111001111101101000011101001001102
- Hexadecimal: 0x1FE7DA1D26
- Base-36: 1QYAEA7A
Squares and roots of 137033817382
- 137033817382 squared (1370338173822) is 18778267106283325333924
- 137033817382 cubed (1370338173823) is 2573257625392846788560635585466968
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The
square root of 137033817382 is 370180.7901309845 -
The
cube root of 137033817382 is 5155.5608690183
Scales and comparisons
How big is 137033817382?- 137,033,817,382 seconds is equal to 4,357 years, 13 weeks, 13 hours, 16 minutes, 22 seconds.
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To count from 1 to 137,033,817,382 would take you about eight thousand, seven hundred fourteen 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 137033817382 cubic inches would be around 429.6 feet tall.
Recreational maths with 137033817382
- 137033817382 backwards is 283718330731
- The number of decimal digits it has is: 12
- The sum of 137033817382's digits is 46
- More coming soon!
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