137431801950807
137,431,801,950,807 is an odd composite number composed of eight prime numbers multiplied together.
137431801950807 is an odd composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137431801950807:
3 × 7 × 132 × 19 × 31 × 127 × 487 × 1063
(3 × 7 × 13 × 13 × 19 × 31 × 127 × 487 × 1063)See below for interesting mathematical facts about the number 137431801950807 from the Numbermatics database.
Names of 137431801950807
- Cardinal: 137431801950807 can be written as One hundred thirty-seven trillion, four hundred thirty-one billion, eight hundred one million, nine hundred fifty thousand, eight hundred seven.
Scientific notation
- Scientific notation: 1.37431801950807 × 1014
Factors of 137431801950807
Divisors of 137431801950807
- Number of divisors d(n): 384
-
Complete list of divisors:
1 3 7 13 19 21 31 39 57 91 93 127 133 169 217 247 273 381 399 403 487 507 589 651 741 889 1063 1183 1209 1461 1651 1729 1767 2413 2667 2821 3189 3211 3409 3549 3937 4123 4953 5187 5239 6331 7239 7441 7657 8463 9253 9633 10227 11557 11811 12369 13819 15097 15717 16891 18993 20197 21463 22323 22477 22971 27559 27759 31369 32953 34671 36673 41457 44317 45291 50673 51181 53599 60591 61849 64389 64771 67431 74803 82303 82677 94107 96733 98859 99541 105679 110019 120289 132951 135001 141379 150241 153543 160797 179647 185547 194313 196261 219583 224409 230671 246909 262561 286843 290199 298623 317037 358267 360867 405003 407797 424137 428389 432943 450723 517681 523621 538941 576121 588783 626107 658749 665353 692013 696787 787683 804037 842023 860529 945007 972439 1074801 1175131 1223391 1257529 1285167 1298829 1373827 1553043 1563757 1570863 1728363 1755013 1837927 1878321 1917319 1996059 2007901 2090361 2412111 2526069 2551393 2565019 2835021 2854579 2917317 2998723 3413293 3525393 3623767 3728959 3772587 4121481 4185031 4382749 4657471 4691271 5265039 5513781 5569057 5628259 5751957 6023703 6729853 6807073 7654179 7695057 8139391 8225917 8563737 8996169 9835939 10239879 10452481 10871301 10946299 11186877 12285091 12555093 12641707 13148247 13421233 13972413 15276703 16048111 16707171 16884777 17859751 17955133 20189559 20421219 22815169 23893051 24418173 24677751 24925147 26102713 29295217 29507817 31357443 32838897 33345247 36429061 36855273 37925121 38983399 40263699 45830109 47108971 48144333 48476467 53579253 53865399 54405403 56975737 65745487 68445507 68851573 71679153 73167367 74775441 78308139 79515589 87488089 87885651 88491949 100035741 105812083 106936921 109287183 112336777 116950197 127867207 141326913 145429401 159706183 163216209 170927211 174476029 197236461 198597139 206554719 208625443 219502101 233416729 238546767 255003427 262464267 265475847 304914109 317436249 320810763 324026911 337010331 339335269 380837821 383601621 433488211 460218409 473577793 479118549 523428087 556609123 595791417 612416623 625876329 700250187 707270239 740684581 765010281 854691331 895070449 914742327 972080733 1018005807 1033702657 1142513463 1249164253 1300464633 1380655227 1390179973 1420733379 1460378101 1662273691 1669827369 1837249869 2038110097 2121810717 2134398763 2222053743 2268188377 2564073993 2685211347 2712130759 3034417477 3101107971 3315044551 3747492759 3963883417 4170539919 4381134303 4950891673 4986821073 5982839317 6114330291 6156511309 6403196289 6804565131 7235918599 8136392277 8744149771 9103252431 9945133653 11110987303 11635915837 11891650251 13438134541 14266770679 14852675019 16239135289 17948517951 18469533927 18984915313 21707755797 26232449313 26495431261 27747183919 33332961909 34907747511 38724091843 40314403623 42800312037 43095579163 48717405867 51530484421 56954745939 77776911121 79486293783 83241551757 94066941787 113673947023 116172275529 129286737489 154591453263 185468018827 211108758757 233330733363 271068642901 282200825361 341021841069 344440606393 360713390947 503413193959 556404056481 633326276271 813205928703 1033321819179 1082140172841 1477761311299 1510239581877 2411084244751 3523892357713 4433283933897 6544371521467 7233252734253 10571677073139 19633114564401 45810600650269 137431801950807
- Sum of all divisors σ(n): 249087802736640
- Sum of proper divisors (its aliquot sum) s(n): 111656000785833
- 137431801950807 is a deficient number, because the sum of its proper divisors (111656000785833) is less than itself. Its deficiency is 25775801164974
Bases of 137431801950807
- Binary: 111110011111110010101011011110001110010010101112
- Hexadecimal: 0x7CFE55BC7257
- Base-36: 1CPRAQHWT3
Squares and roots of 137431801950807
- 137431801950807 squared (1374318019508072) is 18887500187445838730847951249
- 137431801950807 cubed (1374318019508073) is 2595743185106886597460803783471617432207943
-
The
square root of 137431801950807 is 11723131.0643021901 -
The
cube root of 137431801950807 is 51605.4710901089
Scales and comparisons
How big is 137431801950807?- 137,431,801,950,807 seconds is equal to 4,369,906 years, 10 weeks, 1 day, 21 hours, 53 minutes, 27 seconds.
-
To count from 1 to 137,431,801,950,807 would take you about ten million, nine hundred twenty-four thousand, seven hundred sixty-five 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 137431801950807 cubic inches would be around 4300.5 feet tall.
Recreational maths with 137431801950807
- 137431801950807 backwards is 708059108134731
- 137431801950807 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137431801950807's digits is 57
- More coming soon!
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