137975834959872
137,975,834,959,872 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137975834959872 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2240 divisors.
137975834959872 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 137975834959872:
213 × 3 × 74 × 13 × 43 × 47 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 13 × 43 × 47 × 89)See below for interesting mathematical facts about the number 137975834959872 from the Numbermatics database.
Names of 137975834959872
- Cardinal: 137975834959872 can be written as One hundred thirty-seven trillion, nine hundred seventy-five billion, eight hundred thirty-four million, nine hundred fifty-nine thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 1.37975834959872 × 1014
Factors of 137975834959872
Divisors of 137975834959872
- Number of divisors d(n): 2240
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 43 47 48 49 52 56 64 78 84 86 89 91 94 96 98 104 112 128 129 141 147 156 168 172 178 182 188 192 196 208 224 256 258 267 273 282 294 301 312 329 336 343 344 356 364 376 384 392 416 448 512 516 534 546 559 564 588 602 611 623 624 637 658 672 686 688 712 728 752 768 784 832 896 903 987 1024 1029 1032 1068 1092 1118 1128 1157 1176 1204 1222 1246 1248 1274 1316 1344 1372 1376 1424 1456 1504 1536 1568 1664 1677 1792 1806 1833 1869 1911 1974 2021 2048 2058 2064 2107 2136 2184 2236 2256 2303 2314 2352 2401 2408 2444 2492 2496 2548 2632 2688 2744 2752 2848 2912 3008 3072 3136 3328 3354 3471 3584 3612 3666 3738 3822 3827 3913 3948 4042 4096 4116 4128 4183 4214 4272 4277 4361 4368 4459 4472 4512 4606 4628 4704 4802 4816 4888 4984 4992 5096 5264 5376 5488 5504 5696 5824 6016 6063 6144 6272 6321 6656 6708 6909 6942 7168 7203 7224 7332 7476 7644 7654 7826 7896 8084 8099 8192 8232 8256 8366 8428 8544 8554 8722 8736 8918 8944 9024 9212 9256 9408 9604 9632 9776 9968 9984 10192 10528 10752 10976 11008 11392 11481 11648 11739 12032 12126 12288 12544 12549 12642 12831 13083 13312 13377 13416 13818 13884 14147 14336 14406 14448 14664 14749 14952 15288 15308 15652 15792 16121 16168 16198 16464 16512 16732 16856 17088 17108 17444 17472 17836 17888 18048 18424 18512 18816 19208 19264 19552 19936 19968 20384 21056 21504 21952 22016 22784 22962 23296 23478 24064 24252 24297 24576 25088 25098 25284 25662 26166 26273 26624 26754 26789 26832 27391 27636 27768 28294 28672 28812 28896 29281 29328 29498 29904 29939 30527 30576 30616 31213 31304 31584 32242 32336 32396 32928 33024 33464 33712 34176 34216 34888 34944 35672 35776 36096 36848 37024 37632 38416 38528 39104 39872 39936 40768 42112 42441 43008 43904 44032 44247 45568 45924 46592 46956 48128 48363 48504 48594 49751 50176 50196 50568 51324 52332 52546 53248 53508 53578 53664 54379 54782 55272 55536 56588 56693 57344 57624 57792 58562 58656 58996 59808 59878 61054 61152 61232 62426 62608 63168 64484 64672 64792 65856 66048 66928 67424 68352 68432 69776 69888 71344 71552 72192 73696 74048 75264 76832 77056 78208 78819 79744 79872 80367 81536 82173 84224 84882 86016 87808 87843 88064 88494 89817 91136 91581 91848 93184 93639 93912 96256 96726 97008 97188 99029 99502 100352 100392 101136 102648 103243 104664 105092 106496 107016 107156 107328 108758 109564 110544 111072 112847 113176 113386 115248 115584 117124 117312 117992 119616 119756 122108 122304 122464 124852 125216 126336 128968 129344 129584 131712 132096 133856 134848 136704 136864 139552 139776 142688 143104 144384 147392 148096 149253 150528 153664 154112 156416 157638 159488 159744 160734 163072 163137 164346 168448 169764 170079 172032 175616 175686 176128 176988 179634 179869 182272 183162 183696 183911 186368 187278 187523 187824 191737 192512 193452 194016 194376 198058 199004 200704 200784 202272 204967 205296 206486 209328 209573 210184 213689 214032 214312 214656 217516 219128 221088 222144 225694 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3537841922048 4311744842496 4927708391424 5306762883072 5748993123328 6570277855232 8623489684992 9855416782848 10613525766144 11497986246656 17246979369984 19710833565696 22995972493312 34493958739968 45991944986624 68987917479936 137975834959872
- Sum of all divisors σ(n): 488462232867840
- Sum of proper divisors (its aliquot sum) s(n): 350486397907968
- 137975834959872 is an abundant number, because the sum of its proper divisors (350486397907968) is greater than itself. Its abundance is 212510562948096
Bases of 137975834959872
- Binary: 111110101111101000000001010000101100000000000002
- Hexadecimal: 0x7D7D00A16000
- Base-36: 1CWP81PD6O
Squares and roots of 137975834959872
- 137975834959872 squared (1379758349598722) is 19037331032873836387850256384
- 137975834959872 cubed (1379758349598723) is 2626691644668250005579861672974825551822848
-
The
square root of 137975834959872 is 11746311.5470292205 -
The
cube root of 137975834959872 is 51673.4760081471
Scales and comparisons
How big is 137975834959872?- 137,975,834,959,872 seconds is equal to 4,387,204 years, 39 weeks, 5 days, 6 hours, 11 minutes, 12 seconds.
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To count from 1 to 137,975,834,959,872 would take you about ten million, nine hundred sixty-eight thousand and eleven 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 137975834959872 cubic inches would be around 4306.1 feet tall.
Recreational maths with 137975834959872
- 137975834959872 backwards is 278959438579731
- The number of decimal digits it has is: 15
- The sum of 137975834959872's digits is 87
- More coming soon!
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The information we have on file for 137975834959872 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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