137953750144392
137,953,750,144,392 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137953750144392 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2688 divisors.
137953750144392 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 137953750144392:
23 × 36 × 72 × 13 × 29 × 43 × 97 × 307
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 29 × 43 × 97 × 307)See below for interesting mathematical facts about the number 137953750144392 from the Numbermatics database.
Names of 137953750144392
- Cardinal: 137953750144392 can be written as One hundred thirty-seven trillion, nine hundred fifty-three billion, seven hundred fifty million, one hundred forty-four thousand, three hundred ninety-two.
Scientific notation
- Scientific notation: 1.37953750144392 × 1014
Factors of 137953750144392
Divisors of 137953750144392
- Number of divisors d(n): 2688
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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 29 36 39 42 43 49 52 54 56 58 63 72 78 81 84 86 87 91 97 98 104 108 116 117 126 129 147 156 162 168 172 174 182 189 194 196 203 216 232 234 243 252 258 261 273 291 294 301 307 312 324 344 348 351 364 377 378 387 388 392 406 441 468 486 504 516 522 546 559 567 582 588 602 609 614 637 648 679 696 702 728 729 754 756 774 776 783 812 819 873 882 903 921 936 972 1032 1044 1053 1092 1118 1131 1134 1161 1164 1176 1204 1218 1228 1247 1261 1274 1323 1358 1404 1421 1458 1508 1512 1548 1566 1624 1638 1677 1701 1746 1764 1806 1827 1842 1911 1944 2037 2088 2106 2107 2149 2184 2236 2262 2268 2322 2328 2349 2408 2436 2456 2457 2494 2522 2548 2619 2639 2646 2709 2716 2763 2808 2813 2842 2916 3016 3096 3132 3159 3276 3354 3393 3402 3483 3492 3528 3612 3654 3684 3741 3783 3822 3913 3969 3991 4074 4171 4212 4214 4263 4298 4472 4524 4536 4644 4698 4753 4872 4914 4988 5031 5044 5096 5103 5238 5278 5292 5418 5432 5481 5526 5626 5684 5733 5832 6111 6264 6318 6321 6447 6552 6708 6786 6804 6966 6984 7047 7224 7308 7368 7371 7482 7566 7644 7826 7857 7917 7938 7982 8127 8148 8289 8342 8424 8428 8439 8526 8596 8729 8827 8903 9048 9288 9396 9477 9506 9828 9976 10062 10088 10179 10206 10449 10476 10556 10584 10836 10962 11052 11223 11252 11349 11368 11466 11739 11907 11973 12222 12513 12636 12642 12789 12894 13201 13416 13572 13608 13932 14094 14259 14616 14742 14964 15043 15093 15132 15288 15652 15714 15834 15876 15964 16211 16254 16296 16443 16578 16684 16856 16878 17052 17192 17199 17458 17654 17806 18333 18473 18792 18954 18963 19012 19341 19656 19691 20124 20358 20412 20898 20952 21112 21141 21672 21924 22104 22113 22446 22504 22698 22932 23478 23571 23751 23814 23946 24381 24444 24867 25026 25272 25284 25317 25578 25788 26187 26402 26481 26709 27144 27391 27864 27937 28188 28518 29197 29484 29779 29928 30086 30186 30264 30537 31304 31347 31428 31668 31752 31928 32422 32508 32886 33156 33368 33669 33756 34047 34104 34398 34916 35217 35308 35612 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34488437536098 45984583381464 68976875072196 137953750144392
- Sum of all divisors σ(n): 521272766044800
- Sum of proper divisors (its aliquot sum) s(n): 383319015900408
- 137953750144392 is an abundant number, because the sum of its proper divisors (383319015900408) is greater than itself. Its abundance is 245365265756016
Bases of 137953750144392
- Binary: 111110101110111110111000100010111010101100010002
- Hexadecimal: 0x7D77DC45D588
- Base-36: 1CWF2SZ4I0
Squares and roots of 137953750144392
- 137953750144392 squared (1379537501443922) is 19031237178901335760849049664
- 137953750144392 cubed (1379537501443923) is 2625430538716818546954151258265555979084288
-
The
square root of 137953750144392 is 11745371.4349266963 -
The
cube root of 137953750144392 is 51670.7188584947
Scales and comparisons
How big is 137953750144392?- 137,953,750,144,392 seconds is equal to 4,386,502 years, 27 weeks, 5 days, 23 hours, 13 minutes, 12 seconds.
-
To count from 1 to 137,953,750,144,392 would take you about ten million, nine hundred sixty-six thousand, two hundred fifty-six 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 137953750144392 cubic inches would be around 4305.9 feet tall.
Recreational maths with 137953750144392
- 137953750144392 backwards is 293441057359731
- 137953750144392 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137953750144392's digits is 63
- More coming soon!
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"Number 137953750144392 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 137953750144392 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/137953750144392/
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The information we have on file for 137953750144392 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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