137772404224
137,772,404,224 is an even composite number composed of six prime numbers multiplied together.
What does the number 137772404224 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
137772404224 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 137772404224:
29 × 7 × 13 × 17 × 312 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 17 × 31 × 31 × 181)See below for interesting mathematical facts about the number 137772404224 from the Numbermatics database.
Names of 137772404224
- Cardinal: 137772404224 can be written as One hundred thirty-seven billion, seven hundred seventy-two million, four hundred four thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.37772404224 × 1011
Factors of 137772404224
Divisors of 137772404224
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 31 32 34 52 56 62 64 68 91 104 112 119 124 128 136 181 182 208 217 221 224 238 248 256 272 362 364 403 416 434 442 448 476 496 512 527 544 724 728 806 832 868 884 896 952 961 992 1054 1088 1267 1448 1456 1547 1612 1664 1736 1768 1792 1904 1922 1984 2108 2176 2353 2534 2821 2896 2912 3077 3094 3224 3328 3472 3536 3584 3689 3808 3844 3968 4216 4352 4706 5068 5611 5642 5792 5824 6154 6188 6448 6656 6727 6851 6944 7072 7378 7616 7688 7936 8432 8704 9412 10136 11222 11284 11584 11648 12308 12376 12493 12896 13454 13702 13888 14144 14756 15232 15376 15872 16337 16471 16864 18824 20272 21539 22444 22568 23168 23296 24616 24752 24986 25792 26908 27404 27776 28288 29512 30464 30752 32674 32942 33728 37648 39277 40001 40544 43078 44888 45136 46336 46592 47957 49232 49504 49972 51584 53816 54808 55552 56576 59024 60928 61504 65348 65884 67456 72943 75296 78554 80002 81088 86156 87451 89776 90272 92672 95387 95914 98464 99008 99944 103168 107632 109616 111104 113152 114359 118048 123008 130696 131768 134912 145886 150592 157108 160004 162176 172312 173941 174902 179552 180544 190774 191828 196928 198016 199888 206336 212381 215264 219232 228718 236096 246016 261392 263536 269824 280007 291772 301184 314216 320008 324352 344624 347882 349804 359104 361088 381548 383656 393856 396032 399776 424762 430528 438464 457436 472192 492032 510601 522784 527072 560014 583544 602368 628432 640016 648704 667709 689248 695764 699608 718208 722176 763096 767312 787712 792064 799552 849524 861056 876928 914872 944384 1021202 1045568 1054144 1120028 1167088 1204736 1217587 1240031 1256864 1280032 1335418 1378496 1391528 1399216 1436416 1444352 1486667 1526192 1534624 1575424 1599104 1699048 1722112 1753856 1829744 1888768 2042404 2091136 2108288 2240056 2261233 2334176 2435174 2480062 2513728 2560064 2670836 2756992 2783056 2798432 2872832 2956997 2973334 3052384 3069248 3198208 3398096 3444224 3507712 3659488 4084808 4182272 4216576 4480112 4522466 4668352 4870348 4960124 5027456 5120128 5341672 5513984 5566112 5596864 5913994 5946668 6104768 6138496 6396416 6796192 7318976 8169616 8364544 8433152 8680217 8960224 9044932 9336704 9740696 9920248 10054912 10240256 10683344 11027968 11132224 11193728 11827988 11893336 12209536 12276992 13592384 14637952 15828631 16339232 17360434 17920448 18089864 18673408 19481392 19840496 20109824 20480512 20698979 21366688 22264448 22387456 23655976 23786672 24419072 24553984 27184768 29275904 31657262 32678464 34720868 35840896 36179728 37346816 38440961 38962784 39680992 41397958 42733376 44528896 44774912 47311952 47573344 48838144 54369536 58551808 63314524 65356928 69441736 71681792 72359456 76881922 77925568 79361984 82795916 85466752 89057792 94623904 95146688 108739072 126629048 130713856 138883472 143363584 144718912 153763844 155851136 158723968 165591832 170933504 189247808 190293376 253258096 261427712 269086727 277766944 289437824 307527688 311702272 317447936 331183664 341867008 378495616 380586752 506516192 538173454 555533888 578875648 615055376 623404544 634895872 662367328 756991232 761173504 1013032384 1076346908 1111067776 1157751296 1230110752 1324734656 1513982464 2026064768 2152693816 2222135552 2460221504 2649469312 4052129536 4305387632 4444271104 4920443008 5298938624 8104259072 8610775264 9840886016 10597877248 17221550528 19681772032 34443101056 68886202112 137772404224
- Sum of all divisors σ(n): 372723519168
- Sum of proper divisors (its aliquot sum) s(n): 234951114944
- 137772404224 is an abundant number, because the sum of its proper divisors (234951114944) is greater than itself. Its abundance is 97178710720
Bases of 137772404224
- Binary: 100000000100111110000000001110000000002
- Hexadecimal: 0x2013E00E00
- Base-36: 1RAI4RGG
Squares and roots of 137772404224
- 137772404224 squared (1377724042242) is 18981235365661253042176
- 137772404224 cubed (1377724042243) is 2615090431468766603181021592551424
-
The
square root of 137772404224 is 371177.0523941371 -
The
cube root of 137772404224 is 5164.8067830085
Scales and comparisons
How big is 137772404224?- 137,772,404,224 seconds is equal to 4,380 years, 38 weeks, 2 days, 17 minutes, 4 seconds.
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To count from 1 to 137,772,404,224 would take you about eight thousand, seven hundred sixty-one 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 137772404224 cubic inches would be around 430.4 feet tall.
Recreational maths with 137772404224
- 137772404224 backwards is 422404277731
- The number of decimal digits it has is: 12
- The sum of 137772404224's digits is 43
- More coming soon!
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