137938341334248
137,938,341,334,248 is an even composite number composed of nine prime numbers multiplied together.
What does the number 137938341334248 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2560 divisors.
137938341334248 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 137938341334248:
23 × 34 × 7 × 13 × 31 × 37 × 61 × 67 × 499
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 13 × 31 × 37 × 61 × 67 × 499)See below for interesting mathematical facts about the number 137938341334248 from the Numbermatics database.
Names of 137938341334248
- Cardinal: 137938341334248 can be written as One hundred thirty-seven trillion, nine hundred thirty-eight billion, three hundred forty-one million, three hundred thirty-four thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 1.37938341334248 × 1014
Factors of 137938341334248
Divisors of 137938341334248
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 31 36 37 39 42 52 54 56 61 62 63 67 72 74 78 81 84 91 93 104 108 111 117 122 124 126 134 148 156 162 168 182 183 186 189 201 216 217 222 234 244 248 252 259 268 273 279 296 312 324 333 351 364 366 372 378 402 403 427 434 444 468 469 481 488 499 504 518 536 546 549 558 567 603 648 651 666 702 728 732 744 756 777 793 804 806 819 837 854 868 871 888 936 938 962 998 999 1036 1053 1092 1098 1116 1134 1147 1206 1209 1281 1302 1332 1404 1407 1443 1464 1497 1512 1554 1586 1608 1612 1638 1647 1674 1708 1736 1742 1809 1876 1891 1924 1953 1996 1998 2072 2077 2106 2184 2196 2232 2257 2268 2294 2331 2379 2412 2418 2457 2479 2511 2562 2604 2613 2664 2808 2814 2821 2886 2994 2997 3108 3172 3224 3276 3294 3348 3367 3416 3441 3484 3493 3618 3627 3752 3782 3843 3848 3906 3992 3996 4087 4154 4212 4221 4329 4392 4491 4514 4536 4588 4662 4758 4824 4836 4914 4941 4958 5022 5124 5208 5226 5427 5551 5628 5642 5673 5772 5859 5988 5994 6097 6216 6231 6344 6487 6552 6588 6696 6734 6771 6882 6968 6986 6993 7137 7236 7254 7371 7437 7564 7686 7812 7839 7992 8029 8174 8308 8424 8442 8463 8658 8982 9028 9176 9324 9516 9672 9828 9882 9916 10044 10101 10248 10323 10452 10479 10854 10881 11102 11256 11284 11346 11529 11544 11718 11976 11988 12194 12261 12462 12663 12974 12987 13176 13237 13468 13473 13542 13764 13972 13986 14274 14472 14508 14539 14742 14874 14911 15128 15372 15469 15624 15678 15799 16058 16348 16616 16653 16884 16926 17019 17316 17353 17577 17964 18056 18291 18463 18648 18693 19032 19461 19656 19764 19832 20088 20202 20313 20646 20904 20958 20979 21411 21708 21762 22204 22311 22568 22692 23058 23436 23517 23976 24087 24388 24522 24583 24924 25326 25389 25948 25974 26474 26936 26946 27001 27084 27528 27944 27972 28548 28609 29016 29078 29341 29484 29748 29822 30303 30439 30744 30938 30969 31356 31437 31598 32116 32227 32643 32696 33306 33433 33768 33852 34038 34587 34632 34706 35154 35928 36582 36783 36926 37386 37989 38922 38961 39528 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392986727448 414229253256 425735621402 442110068379 466007909913 494402657112 505268649576 514695303486 532580468472 547374370374 556202989251 565321071042 589480091172 621343879884 635660559144 638603432103 686260404648 729832493832 741603985668 753761428056 757902974364 821061555561 851471242804 884220136758 932015819826 1029390606972 1094748740748 1112405978502 1130642142084 1178960182344 1242687759768 1277206864206 1326330205137 1483207971336 1515805948728 1642123111122 1702942485608 1768440273516 1864031639652 1915810296309 2058781213944 2189497481496 2224811957004 2261284284168 2463184666683 2554413728412 2652660410274 3284246222244 3536880547032 3728063279304 3831620592618 4449623914008 4926369333366 5108827456824 5305320820548 5747430888927 6568492444488 7663241185236 9852738666732 10610641641096 11494861777854 15326482370472 17242292666781 19705477333464 22989723555708 34484585333562 45979447111416 68969170667124 137938341334248
- Sum of all divisors σ(n): 521073315840000
- Sum of proper divisors (its aliquot sum) s(n): 383134974505752
- 137938341334248 is an abundant number, because the sum of its proper divisors (383134974505752) is greater than itself. Its abundance is 245196633171504
Bases of 137938341334248
- Binary: 111110101110100010001011101011000001100111010002
- Hexadecimal: 0x7D7445D60CE8
- Base-36: 1CW7ZYYUI0
Squares and roots of 137938341334248
- 137938341334248 squared (1379383413342482) is 19026986010043510316857725504
- 137938341334248 cubed (1379383413342483) is 2624550890815343170808762225444209898260992
-
The
square root of 137938341334248 is 11744715.4641671929 -
The
cube root of 137938341334248 is 51668.7949916401
Scales and comparisons
How big is 137938341334248?- 137,938,341,334,248 seconds is equal to 4,386,012 years, 30 weeks, 2 days, 6 hours, 10 minutes, 48 seconds.
-
To count from 1 to 137,938,341,334,248 would take you about ten million, nine hundred sixty-five thousand and thirty-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 137938341334248 cubic inches would be around 4305.7 feet tall.
Recreational maths with 137938341334248
- 137938341334248 backwards is 842433143839731
- 137938341334248 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137938341334248's digits is 63
- More coming soon!
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"Number 137938341334248 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 137938341334248 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/137938341334248/
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The information we have on file for 137938341334248 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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