137481353146368
137,481,353,146,368 is an even composite number composed of six prime numbers multiplied together.
137481353146368 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eight divisors.
Prime factorization of 137481353146368:
212 × 38 × 7 × 11 × 292 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 29 × 29 × 79)See below for interesting mathematical facts about the number 137481353146368 from the Numbermatics database.
Names of 137481353146368
- Cardinal: 137481353146368 can be written as One hundred thirty-seven trillion, four hundred eighty-one billion, three hundred fifty-three million, one hundred forty-six thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37481353146368 × 1014
Factors of 137481353146368
Divisors of 137481353146368
- Number of divisors d(n): 2808
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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 29 32 33 36 42 44 48 54 56 58 63 64 66 72 77 79 81 84 87 88 96 99 108 112 116 126 128 132 144 154 158 162 168 174 176 189 192 198 203 216 224 231 232 237 243 252 256 261 264 288 297 308 316 319 324 336 348 352 378 384 396 406 432 448 462 464 474 486 504 512 522 528 553 567 576 594 609 616 632 638 648 672 693 696 704 711 729 756 768 783 792 812 841 864 869 891 896 924 928 948 957 972 1008 1024 1044 1056 1106 1134 1152 1188 1218 1232 1264 1276 1296 1344 1386 1392 1408 1422 1458 1512 1536 1566 1584 1624 1659 1682 1701 1728 1738 1782 1792 1827 1848 1856 1896 1914 1944 2016 2048 2079 2088 2112 2133 2187 2212 2233 2268 2291 2304 2349 2376 2436 2464 2523 2528 2552 2592 2607 2673 2688 2772 2784 2816 2844 2871 2916 3024 3072 3132 3168 3248 3318 3364 3402 3456 3476 3564 3584 3654 3696 3712 3792 3828 3888 4032 4096 4158 4176 4224 4266 4374 4424 4466 4536 4582 4608 4698 4752 4872 4928 4977 5046 5056 5103 5104 5184 5214 5346 5376 5481 5544 5568 5632 5688 5742 5832 5887 6048 6083 6144 6237 6264 6336 6399 6496 6561 6636 6699 6728 6804 6873 6912 6952 7047 7128 7168 7308 7392 7424 7569 7584 7656 7776 7821 8019 8064 8316 8352 8448 8532 8613 8748 8848 8932 9072 9164 9216 9251 9396 9504 9744 9856 9954 10092 10112 10206 10208 10368 10428 10692 10752 10962 11088 11136 11264 11376 11484 11664 11774 12096 12166 12288 12474 12528 12672 12798 12992 13122 13272 13398 13456 13608 13746 13824 13904 14094 14256 14336 14616 14784 14848 14931 15138 15168 15309 15312 15552 15642 16037 16038 16128 16443 16632 16704 16896 17064 17226 17496 17661 17696 17864 18144 18249 18328 18432 18502 18711 18792 19008 19197 19488 19712 19908 20097 20184 20224 20412 20416 20619 20736 20856 21141 21384 21504 21924 22176 22272 22528 22707 22752 22968 23328 23463 23548 24057 24192 24332 24948 25056 25201 25344 25596 25839 25984 26244 26544 26796 26912 27216 27492 27648 27753 27808 28188 28512 28672 29232 29568 29696 29862 30276 30336 30618 30624 31104 31284 32074 32076 32256 32886 33264 33408 33792 34128 34452 34992 35322 35392 35728 36288 36498 36656 36864 37004 37422 37584 38016 38394 38976 39424 39816 40194 40368 40448 40824 40832 41238 41472 41712 42282 42768 43008 43848 44352 44544 44793 45056 45414 45504 45927 45936 46656 46926 47096 48111 48114 48384 48664 49329 49896 50112 50402 50688 51192 51678 51968 52488 52983 53088 53592 53824 54432 54747 54984 55296 55506 55616 56133 56376 57024 57591 58464 59136 59392 59724 60291 60552 60672 61236 61248 61857 62208 62568 63423 64148 64152 64512 64757 65772 66439 66528 66816 67584 68121 68256 68904 69984 70389 70644 70784 71456 72171 72576 72996 73312 74008 74844 75168 75603 76032 76788 77517 77952 78848 79632 80388 80736 80896 81648 81664 82476 82944 83259 83424 84564 85536 86016 87696 88704 89088 89586 90828 91008 91854 91872 93312 93852 94192 96222 96228 96768 97328 98658 99792 100224 100804 101376 102384 103356 103936 104976 105966 106176 107184 107648 108864 109494 109968 110592 111012 111232 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17185169143296 19640193306624 22913558857728 34370338286592 45827117715456 68740676573184 137481353146368
- Sum of all divisors σ(n): 539207013895680
- Sum of proper divisors (its aliquot sum) s(n): 401725660749312
- 137481353146368 is an abundant number, because the sum of its proper divisors (401725660749312) is greater than itself. Its abundance is 264244307602944
Bases of 137481353146368
- Binary: 111110100001001110111110011011110110000000000002
- Hexadecimal: 0x7D09DF37B000
- Base-36: 1CQE280000
Squares and roots of 137481353146368
- 137481353146368 squared (1374813531463682) is 18901122462956350373231591424
- 137481353146368 cubed (1374813531463683) is 2598551892192450921911929262743878245548032
-
The
square root of 137481353146368 is 11725244.2680895991 -
The
cube root of 137481353146368 is 51611.6724823435
Scales and comparisons
How big is 137481353146368?- 137,481,353,146,368 seconds is equal to 4,371,481 years, 40 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,481,353,146,368 would take you about ten million, nine hundred twenty-eight thousand, seven hundred 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 137481353146368 cubic inches would be around 4301 feet tall.
Recreational maths with 137481353146368
- 137481353146368 backwards is 863641353184731
- 137481353146368 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137481353146368's digits is 63
- More coming soon!
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"Number 137481353146368 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 137481353146368 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/137481353146368/
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The information we have on file for 137481353146368 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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