137004328226304
137,004,328,226,304 is an even composite number composed of five prime numbers multiplied together.
137004328226304 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 137004328226304:
29 × 34 × 72 × 113 × 373
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 11 × 11 × 37 × 37 × 37)See below for interesting mathematical facts about the number 137004328226304 from the Numbermatics database.
Names of 137004328226304
- Cardinal: 137004328226304 can be written as One hundred thirty-seven trillion, four billion, three hundred twenty-eight million, two hundred twenty-six thousand, three hundred four.
Scientific notation
- Scientific notation: 1.37004328226304 × 1014
Factors of 137004328226304
Divisors of 137004328226304
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 37 42 44 48 49 54 56 63 64 66 72 74 77 81 84 88 96 98 99 108 111 112 121 126 128 132 144 147 148 154 162 168 176 189 192 196 198 216 222 224 231 242 252 256 259 264 288 294 296 297 308 324 333 336 352 363 378 384 392 396 407 432 441 444 448 462 484 504 512 518 528 539 567 576 588 592 594 616 648 666 672 693 704 726 756 768 777 784 792 814 847 864 882 888 891 896 924 968 999 1008 1036 1056 1078 1089 1134 1152 1176 1184 1188 1221 1232 1296 1323 1331 1332 1344 1369 1386 1408 1452 1512 1536 1554 1568 1584 1617 1628 1694 1728 1764 1776 1782 1792 1813 1848 1936 1998 2016 2072 2079 2112 2156 2178 2268 2304 2331 2352 2368 2376 2442 2464 2541 2592 2646 2662 2664 2688 2738 2772 2816 2849 2904 2997 3024 3108 3136 3168 3234 3256 3267 3388 3456 3528 3552 3564 3584 3626 3663 3696 3872 3969 3993 3996 4032 4107 4144 4158 4224 4312 4356 4477 4536 4608 4662 4704 4736 4752 4851 4884 4928 5082 5184 5292 5324 5328 5376 5439 5476 5544 5632 5698 5808 5929 5994 6048 6216 6237 6272 6336 6468 6512 6534 6776 6912 6993 7056 7104 7128 7252 7326 7392 7623 7744 7938 7986 7992 8064 8214 8288 8316 8448 8547 8624 8712 8954 9072 9317 9324 9408 9472 9504 9583 9702 9768 9801 9856 10164 10368 10584 10648 10656 10752 10878 10952 10989 11088 11396 11616 11858 11979 11988 12096 12321 12432 12474 12544 12672 12936 13024 13068 13431 13552 13824 13986 14112 14208 14256 14504 14553 14652 14784 15059 15246 15488 15876 15972 15984 16128 16317 16428 16576 16632 16896 17094 17248 17424 17787 17908 18144 18634 18648 18816 18944 19008 19166 19404 19536 19602 19712 19943 20328 20736 20979 21168 21296 21312 21756 21904 21978 22176 22792 22869 23232 23716 23958 23976 24192 24642 24864 24948 25088 25344 25641 25872 26048 26136 26862 27104 27951 27972 28224 28416 28512 28749 29008 29106 29304 29568 30118 30492 30976 31339 31752 31944 31968 32256 32634 32856 32967 33152 33264 34188 34496 34848 35574 35816 35937 36288 36963 37268 37296 37632 38016 38332 38808 39072 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- Sum of all divisors σ(n): 537750843395040
- Sum of proper divisors (its aliquot sum) s(n): 400746515168736
- 137004328226304 is an abundant number, because the sum of its proper divisors (400746515168736) is greater than itself. Its abundance is 263742186942432
Bases of 137004328226304
- Binary: 111110010011010110011100101000100001110000000002
- Hexadecimal: 0x7C9ACE510E00
- Base-36: 1CKAX3OG00
Squares and roots of 137004328226304
- 137004328226304 squared (1370043282263042) is 18770185952740838938637500416
- 137004328226304 cubed (1370043282263043) is 2571596717138066558793326795263221342142464
-
The
square root of 137004328226304 is 11704884.8019236823 -
The
cube root of 137004328226304 is 51551.9102346469
Scales and comparisons
How big is 137004328226304?- 137,004,328,226,304 seconds is equal to 4,356,313 years, 44 weeks, 3 days, 8 hours, 38 minutes, 24 seconds.
-
To count from 1 to 137,004,328,226,304 would take you about ten million, eight hundred ninety thousand, seven hundred eighty-four 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 137004328226304 cubic inches would be around 4296 feet tall.
Recreational maths with 137004328226304
- 137004328226304 backwards is 403622823400731
- The number of decimal digits it has is: 15
- The sum of 137004328226304's digits is 45
- More coming soon!
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Cite this page
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Numbermatics. (2024). Number 137004328226304 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/137004328226304/
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The information we have on file for 137004328226304 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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