137329646831940706164
137,329,646,831,940,706,164 is an even composite number composed of four prime numbers multiplied together.
137329646831940706164 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137329646831940706164:
22 × 315 × 73 × 178
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 17 × 17 × 17 × 17 × 17 × 17 × 17 × 17)See below for interesting mathematical facts about the number 137329646831940706164 from the Numbermatics database.
Names of 137329646831940706164
- Cardinal: 137329646831940706164 can be written as One hundred thirty-seven quintillion, three hundred twenty-nine quadrillion, six hundred forty-six trillion, eight hundred thirty-one billion, nine hundred forty million, seven hundred six thousand, one hundred sixty-four.
Scientific notation
- Scientific notation: 1.37329646831940706164 × 1020
Factors of 137329646831940706164
Divisors of 137329646831940706164
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 49 51 54 63 68 81 84 98 102 108 119 126 147 153 162 189 196 204 238 243 252 289 294 306 324 343 357 378 441 459 476 486 567 578 588 612 686 714 729 756 833 867 882 918 972 1029 1071 1134 1156 1323 1372 1377 1428 1458 1666 1701 1734 1764 1836 2023 2058 2142 2187 2268 2499 2601 2646 2754 2916 3087 3213 3332 3402 3468 3969 4046 4116 4131 4284 4374 4913 4998 5103 5202 5292 5508 5831 6069 6174 6426 6561 6804 7497 7803 7938 8092 8262 8748 9261 9639 9826 9996 10206 10404 11662 11907 12138 12348 12393 12852 13122 14161 14739 14994 15309 15606 15876 16524 17493 18207 18522 19278 19652 19683 20412 22491 23324 23409 23814 24276 24786 26244 27783 28322 28917 29478 29988 30618 31212 34391 34986 35721 36414 37044 37179 38556 39366 42483 44217 44982 45927 46818 47628 49572 52479 54621 55566 56644 57834 58956 59049 61236 67473 68782 69972 70227 71442 72828 74358 78732 83349 83521 84966 86751 88434 89964 91854 93636 99127 103173 104958 107163 109242 111132 111537 115668 118098 127449 132651 134946 137564 137781 140454 142884 148716 157437 163863 166698 167042 169932 173502 176868 177147 183708 198254 202419 206346 209916 210681 214326 218484 223074 236196 240737 250047 250563 254898 260253 265302 269892 275562 280908 297381 309519 314874 321489 327726 333396 334084 334611 347004 354294 382347 396508 397953 404838 412692 413343 421362 428652 446148 472311 481474 491589 500094 501126 509796 520506 530604 531441 551124 584647 594762 607257 619038 629748 632043 642978 655452 669222 708588 722211 750141 751689 764694 780759 795906 809676 826686 842724 892143 928557 944622 962948 964467 983178 1000188 1002252 1003833 1041012 1062882 1147041 1169294 1189524 1193859 1214514 1238076 1240029 1264086 1285956 1338444 1416933 1419857 1444422 1474767 1500282 1503378 1529388 1561518 1591812 1594323 1653372 1685159 1753941 1784286 1821771 1857114 1889244 1896129 1928934 1966356 2007666 2125764 2166633 2250423 2255067 2294082 2338588 2342277 2387718 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22888274471990117694 34332411707985176541 45776548943980235388 68664823415970353082 137329646831940706164
- Sum of all divisors σ(n): 446671672555315648000
- Sum of proper divisors (its aliquot sum) s(n): 309342025723374941836
- 137329646831940706164 is an abundant number, because the sum of its proper divisors (309342025723374941836) is greater than itself. Its abundance is 172012378891434235672
Bases of 137329646831940706164
- Binary: 11101110001110101001110101000110000101000111010110010011111011101002
- Hexadecimal: 0x771D4EA30A3AC9F74
- Base-36: SZD6OX5O2YB90
Squares and roots of 137329646831940706164
- 137329646831940706164 squared (1373296468319407061642) is 18859431898985562033109614460654987594896
- 137329646831940706164 cubed (1373296468319407061643) is 2589959122138724085011899626143870577756555460482438202138944
-
The
square root of 137329646831940706164 is 11718773264.8063767445 -
The
cube root of 137329646831940706164 is 5159268.1547243163
Scales and comparisons
How big is 137329646831940706164?- 137,329,646,831,940,706,164 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,329,646,831,940,706,164 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 137329646831940706164 cubic inches would be around 429939 feet tall.
Recreational maths with 137329646831940706164
- 137329646831940706164 backwards is 461607049138646923731
- The number of decimal digits it has is: 21
- The sum of 137329646831940706164's digits is 90
- More coming soon!
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"Number 137329646831940706164 - Facts about the integer". Numbermatics.com. 2024. Web. 10 May 2024.
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Numbermatics. (2024). Number 137329646831940706164 - Facts about the integer. Retrieved 10 May 2024, from https://numbermatics.com/n/137329646831940706164/
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The information we have on file for 137329646831940706164 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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