137435977728
137,435,977,728 is an even composite number composed of five prime numbers multiplied together.
What does the number 137435977728 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 432 divisors.
137435977728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 137435977728:
211 × 32 × 72 × 19 × 8009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 19 × 8009)See below for interesting mathematical facts about the number 137435977728 from the Numbermatics database.
Names of 137435977728
- Cardinal: 137435977728 can be written as One hundred thirty-seven billion, four hundred thirty-five million, nine hundred seventy-seven thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37435977728 × 1011
Factors of 137435977728
Divisors of 137435977728
- Number of divisors d(n): 432
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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 98 112 114 126 128 133 144 147 152 168 171 192 196 224 228 252 256 266 288 294 304 336 342 384 392 399 441 448 456 504 512 532 576 588 608 672 684 768 784 798 882 896 912 931 1008 1024 1064 1152 1176 1197 1216 1344 1368 1536 1568 1596 1764 1792 1824 1862 2016 2048 2128 2304 2352 2394 2432 2688 2736 2793 3072 3136 3192 3528 3584 3648 3724 4032 4256 4608 4704 4788 4864 5376 5472 5586 6144 6272 6384 7056 7168 7296 7448 8009 8064 8379 8512 9216 9408 9576 9728 10752 10944 11172 12544 12768 14112 14336 14592 14896 16018 16128 16758 17024 18432 18816 19152 19456 21504 21888 22344 24027 25088 25536 28224 29184 29792 32036 32256 33516 34048 37632 38304 38912 43008 43776 44688 48054 50176 51072 56063 56448 58368 59584 64072 64512 67032 68096 72081 75264 76608 87552 89376 96108 100352 102144 112126 112896 116736 119168 128144 129024 134064 136192 144162 150528 152171 153216 168189 175104 178752 192216 204288 224252 225792 238336 256288 268128 272384 288324 301056 304342 306432 336378 350208 357504 384432 392441 408576 448504 451584 456513 476672 504567 512576 536256 576648 608684 612864 672756 715008 768864 784882 817152 897008 903168 913026 953344 1009134 1025152 1065197 1072512 1153296 1177323 1217368 1225728 1345512 1369539 1430016 1537728 1569764 1794016 1826052 1906688 2018268 2050304 2130394 2145024 2306592 2354646 2434736 2451456 2691024 2739078 2860032 3075456 3139528 3195591 3531969 3588032 3652104 4036536 4100608 4260788 4290048 4613184 4709292 4869472 5382048 5478156 5720064 6150912 6279056 6391182 7063938 7176064 7304208 7456379 8073072 8201216 8521576 8580096 9226368 9418584 9586773 9738944 10764096 10956312 12301824 12558112 12782364 14127876 14352128 14608416 14912758 16146144 16402432 17043152 17160192 18452736 18837168 19173546 19477888 21528192 21912624 22369137 24603648 25116224 25564728 28255752 28704256 29216832 29825516 32292288 34086304 36905472 37674336 38347092 38955776 43056384 43825248 44738274 49207296 50232448 51129456 56511504 57408512 58433664 59651032 64584576 67107411 68172608 73810944 75348672 76694184 77911552 86112768 87650496 89476548 100464896 102258912 113023008 114817024 116867328 119302064 129169152 134214822 136345216 147621888 150697344 153388368 155823104 172225536 175300992 178953096 200929792 204517824 226046016 233734656 238604128 258338304 268429644 272690432 301394688 306776736 311646208 344451072 350601984 357906192 401859584 409035648 452092032 467469312 477208256 516676608 536859288 545380864 602789376 613553472 701203968 715812384 803719168 818071296 904184064 934938624 954416512 1033353216 1073718576 1090761728 1205578752 1227106944 1402407936 1431624768 1636142592 1808368128 1908833024 2147437152 2181523456 2411157504 2454213888 2804815872 2863249536 3272285184 3616736256 3817666048 4294874304 4908427776 5726499072 6544570368 7233472512 7635332096 8589748608 9816855552 11452998144 15270664192 17179497216 19633711104 22905996288 34358994432 45811992576 68717988864 137435977728
- Sum of all divisors σ(n): 486110079000
- Sum of proper divisors (its aliquot sum) s(n): 348674101272
- 137435977728 is an abundant number, because the sum of its proper divisors (348674101272) is greater than itself. Its abundance is 211238123544
Bases of 137435977728
- Binary: 11111111111111101001010011000000000002
- Hexadecimal: 0x1FFFD29800
- Base-36: 1R4XTZ40
Squares and roots of 137435977728
- 137435977728 squared (1374359777282) is 18888647974051312041984
- 137435977728 cubed (1374359777283) is 2595979802273748443731291224932352
-
The
square root of 137435977728 is 370723.5866895981 -
The
cube root of 137435977728 is 5160.5993751201
Scales and comparisons
How big is 137435977728?- 137,435,977,728 seconds is equal to 4,370 years, 2 weeks, 4 hours, 28 minutes, 48 seconds.
-
To count from 1 to 137,435,977,728 would take you about eight thousand, seven hundred forty 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 137435977728 cubic inches would be around 430 feet tall.
Recreational maths with 137435977728
- 137435977728 backwards is 827779534731
- 137435977728 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137435977728's digits is 63
- More coming soon!
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