138397729774309576704
138,397,729,774,309,576,704 is an even composite number composed of five prime numbers multiplied together.
What does the number 138397729774309576704 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1755 divisors.
138397729774309576704 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred fifty-five divisors.
Prime factorization of 138397729774309576704:
212 × 32 × 72 × 194 × 242472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 19 × 19 × 19 × 19 × 24247 × 24247)See below for interesting mathematical facts about the number 138397729774309576704 from the Numbermatics database.
Names of 138397729774309576704
- Cardinal: 138397729774309576704 can be written as One hundred thirty-eight quintillion, three hundred ninety-seven quadrillion, seven hundred twenty-nine trillion, seven hundred seventy-four billion, three hundred nine million, five hundred seventy-six thousand, seven hundred four.
Scientific notation
- Scientific notation: 1.38397729774309576704 × 1020
Factors of 138397729774309576704
Divisors of 138397729774309576704
- Number of divisors d(n): 1755
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 49 56 57 63 64 72 76 84 96 98 112 114 126 128 133 144 147 152 168 171 192 196 224 228 252 256 266 288 294 304 336 342 361 384 392 399 441 448 456 504 512 532 576 588 608 672 684 722 768 784 798 882 896 912 931 1008 1024 1064 1083 1152 1176 1197 1216 1344 1368 1444 1536 1568 1596 1764 1792 1824 1862 2016 2048 2128 2166 2304 2352 2394 2432 2527 2688 2736 2793 2888 3072 3136 3192 3249 3528 3584 3648 3724 4032 4096 4256 4332 4608 4704 4788 4864 5054 5376 5472 5586 5776 6144 6272 6384 6498 6859 7056 7168 7296 7448 7581 8064 8379 8512 8664 9216 9408 9576 9728 10108 10752 10944 11172 11552 12288 12544 12768 12996 13718 14112 14336 14592 14896 15162 16128 16758 17024 17328 17689 18432 18816 19152 19456 20216 20577 21504 21888 22344 22743 23104 24247 25088 25536 25992 27436 28224 28672 29184 29792 30324 32256 33516 34048 34656 35378 36864 37632 38304 38912 40432 41154 43008 43776 44688 45486 46208 48013 48494 50176 51072 51984 53067 54872 56448 58368 59584 60648 61731 64512 67032 68096 69312 70756 72741 75264 76608 77824 80864 82308 86016 87552 89376 90972 92416 96026 96988 100352 102144 103968 106134 109744 112896 116736 119168 121296 123462 129024 130321 134064 136192 138624 141512 144039 145482 150528 153216 159201 161728 164616 169729 175104 178752 181944 184832 192052 193976 200704 204288 207936 212268 218223 219488 225792 233472 238336 242592 246924 258048 260642 268128 272384 277248 283024 288078 290964 301056 306432 318402 323456 329232 336091 339458 350208 357504 363888 369664 384104 387952 390963 408576 415872 424536 432117 436446 438976 451584 460693 476672 485184 493848 509187 521284 536256 544768 554496 566048 576156 581928 602112 612864 636804 646912 658464 672182 678916 700416 715008 727776 739328 768208 775904 781926 817152 831744 849072 864234 872892 877952 903168 912247 921386 953344 970368 987696 1008273 1018374 1042568 1072512 1108992 1132096 1152312 1163856 1172889 1188103 1225728 1273608 1293824 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3295184042245466112 3642045520376567808 3844381382619710464 4324929055447174272 4942776063368199168 5766572073929565696 6590368084490932224 7284091040753135616 7688762765239420928 8649858110894348544 9885552126736398336 11533144147859131392 15377525530478841856 17299716221788697088 19771104253472796672 23066288295718262784 34599432443577394176 46132576591436525568 69198864887154788352 138397729774309576704
- Sum of all divisors σ(n): 490890236950632180987
- Sum of proper divisors (its aliquot sum) s(n): 352492507176322604283
- 138397729774309576704 is an abundant number, because the sum of its proper divisors (352492507176322604283) is greater than itself. Its abundance is 214094777402013027579
Bases of 138397729774309576704
- Binary: 11110000000101001111000000111110111100101100011100110010000000000002
- Hexadecimal: 0x780A781F796399000
- Base-36: T7HBGQ3LX0XS0
Squares and roots of 138397729774309576704
- 138397729774309576704 squared (1383977297743095767042) is 19153931606682815517125131007527659503616
- 138397729774309576704 cubed (1383977297743095767043) is 2650860650617295565484016240925393033425008755880747717361664
-
138397729774309576704 is a
perfect square number . Itssquare root is 11764256448 -
The
cube root of 138397729774309576704 is 5172609.0508489533
Scales and comparisons
How big is 138397729774309576704?- 138,397,729,774,309,576,704 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,397,729,774,309,576,704 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 138397729774309576704 cubic inches would be around 431050.8 feet tall.
Recreational maths with 138397729774309576704
- 138397729774309576704 backwards is 407675903477927793831
- The number of decimal digits it has is: 21
- The sum of 138397729774309576704's digits is 108
- More coming soon!
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"Number 138397729774309576704 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 138397729774309576704 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138397729774309576704/
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The information we have on file for 138397729774309576704 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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