137439407905912864

Names of 137439407905912864

• Cardinal: 137439407905912864 can be written as One hundred thirty-seven quadrillion, four hundred thirty-nine trillion, four hundred seven billion, nine hundred five million, nine hundred twelve thousand, eight hundred sixty-four.

Scientific notation

• Scientific notation: 1.37439407905912864 × 10¹⁷

Factors of 137439407905912864

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1362

Divisors of 137439407905912864

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 8 16 17 32 34 68 71 136 142 211 272 284 422 544 568 844 1061 1136 1207 1688 2122 2272 2414 3376 3587 4244 4828 5041 6752 7174 8488 9656 10082 14348 14981 16976 18037 19312 20164 28696 29962 33952 36074 38624 40328 44521 57392 59924 72148 75331 80656 85697 89042 114784 119848 144296 150662 161312 171394 178084 223871 239696 254677 288592 301324 342788 356168 447742 479392 509354 577184 602648 685576 712336 756857 895484 1018708 1063651 1125721 1205296 1280627 1371152 1424672 1513714 1790968 2037416 2127302 2251442 2410592 2561254 2742304 3027428 3160991 3581936 3805807 4074832 4254604 4502884 5122508 5348501 6054856 6321982 7163872 7611614 8149664 8509208 9005768 10245016 10697002 12109712 12643964 15223228 15894841 17018416 18011536 18082067 19137257 20490032 21394004 24219424 25287928 30446456 31789682 34036832 36023072 36164134 38274514 40980064 42788008 47236781 50575856 53736847 60892912 63579364 72328268 76549028 79926191 85576016 90924517 94473562 101151712 107473694 121785824 127158728 144656536 153098056 159852382 171152032 181849034 188947124 214947388 224430361 237527131 254317456 270212297 289313072 306196112 319704764 363698068 377894248 429894776 448860722 475054262 508634912 540424594 578626144 612392224 639409528 727396136 755788496 803025277 859789552 897721444 950108524 1080849188 1128533711 1278819056 1358745247 1454792272 1511576992 1606050554 1719579104 1795442888 1900217048 2161698376 2257067422 2557638112 2717490494 2909584544 3212101108 3353811451 3590885776 3800434096 3815316137 4037961227 4323396752 4514134844 5434980988 5674759561 6424202216 6707622902 7181771552 7600868192 7630632274 8075922454 8646793504 9028269688 10869961976 11349519122 12848404432 13415245804 15261264548 16151844908 16864426301 18056539376 19185073087 21739923952 22699038244 25696808864 26830491608 30522529096 32303689816 33728852602 36113078752 38370146174 43479847904 45398076488 50118224641 53660983216 57014794667 61045058192 64607379632 67457705204 76740292348 90796152976 96470912537 100236449282 107321966432 114029589334 122090116384 129214759264 134915410408 153480584696 181592305952 192941825074 200472898564 228059178668 238120613021 269830820816 286695247117 306961169392 385883650148 400945797128 456118357336 476241226042 539661641632 573390494234 613922338784 771767300296 801891594256 852009818897 912236714672 952482452084 1146780988468 1197374267371 1543534600592 1603783188512 1704019637794 1824473429344 1904964904168 2293561976936 2394748534742 3087069201184 3408039275588 3558393949511 3809929808336 4048050421357 4587123953872 4789497069484 6816078551176 7116787899022 7619859616672 8096100842714 9174247907744 9578994138968 13632157102352 14233575798044 16192201685428 19157988277936 20355362545307 27264314204704 28467151596088 32384403370856 38315976555872 40710725090614 56934303192176 60492697141687 64768806741712 81421450181228 113868606384352 120985394283374 129537613483424 162842900362456 241970788566748 252645970415281 325685800724912 483941577133496 505291940830562 651371601449824 967883154266992 1010583881661124 1935766308533984 2021167763322248 4042335526644496 4294981497059777 8084671053288992 8589962994119554 17179925988239108 34359851976478216 68719703952956432 137439407905912864
• Sum of all divisors σ(n): 292251775500841338
• Sum of proper divisors (its aliquot sum) s(n): 154812367594928474
• 137439407905912864 is an abundant number, because the sum of its proper divisors (154812367594928474) is greater than itself. Its abundance is 17372959689015610

Bases of 137439407905912864

• Binary: 111101000010010000110100111001110010111110011100000100000₂
• Hexadecimal: 0x1E84869CE5F3820
• Base-36: 11LA7CCMTRTS

Squares and roots of 137439407905912864

• 137439407905912864 squared (137439407905912864²) is 18889590845527903464341413160682496
• 137439407905912864 cubed (137439407905912864³) is 2596174181394306996752694089643249435721044146028544
• The square root of 137439407905912864 is 370728212.9888590823
• The cube root of 137439407905912864 is 516064.2308144831

Scales and comparisons

• 137,439,407,905,912,864 seconds is equal to 4,370,148,043 years, 21 weeks, 22 hours, 1 minute, 4 seconds.
• To count from 1 to 137,439,407,905,912,864 would take you about thirteen billion, one hundred ten million, four hundred forty-four thousand, one hundred thirty 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 137439407905912864 cubic inches would be around 43005.4 feet tall.

Recreational maths with 137439407905912864

• 137439407905912864 backwards is 468219509704934731
• The number of decimal digits it has is: 18
• The sum of 137439407905912864's digits is 82
• More coming soon!