137018499072
137,018,499,072 is an even composite number composed of six prime numbers multiplied together.
What does the number 137018499072 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 448 divisors.
137018499072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 137018499072:
213 × 3 × 7 × 13 × 197 × 311
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 197 × 311)See below for interesting mathematical facts about the number 137018499072 from the Numbermatics database.
Names of 137018499072
- Cardinal: 137018499072 can be written as One hundred thirty-seven billion, eighteen million, four hundred ninety-nine thousand and seventy-two.
Scientific notation
- Scientific notation: 1.37018499072 × 1011
Factors of 137018499072
Divisors of 137018499072
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 197 208 224 256 273 311 312 336 364 384 394 416 448 512 546 591 622 624 672 728 768 788 832 896 933 1024 1092 1182 1244 1248 1344 1379 1456 1536 1576 1664 1792 1866 2048 2177 2184 2364 2488 2496 2561 2688 2758 2912 3072 3152 3328 3584 3732 4043 4096 4137 4354 4368 4728 4976 4992 5122 5376 5516 5824 6144 6304 6531 6656 7168 7464 7683 8086 8192 8274 8708 8736 9456 9952 9984 10244 10752 11032 11648 12129 12288 12608 13062 13312 14336 14928 15366 16172 16548 17416 17472 17927 18912 19904 19968 20488 21504 22064 23296 24258 24576 25216 26124 26624 28301 28672 29856 30732 32344 33096 34832 34944 35854 37824 39808 39936 40976 43008 44128 46592 48516 50432 52248 53248 53781 56602 57344 59712 61267 61464 64688 66192 69664 69888 71708 75648 79616 79872 81952 84903 86016 88256 93184 97032 100864 104496 106496 107562 113204 119424 122534 122928 129376 132384 139328 139776 143416 151296 159232 159744 163904 169806 172032 176512 183801 186368 194064 201728 208992 215124 226408 238848 245068 245856 258752 264768 278656 279552 286832 302592 318464 319488 327808 339612 353024 367602 372736 388128 403456 417984 428869 430248 452816 477696 490136 491712 517504 529536 557312 559104 573664 605184 636928 655616 679224 706048 735204 745472 776256 796471 806912 835968 857738 860496 905632 955392 980272 983424 1035008 1059072 1114624 1118208 1147328 1210368 1273856 1286607 1311232 1358448 1412096 1470408 1552512 1592942 1613824 1671936 1715476 1720992 1811264 1910784 1960544 1966848 2070016 2118144 2229248 2236416 2294656 2389413 2420736 2547712 2573214 2622464 2716896 2824192 2940816 3105024 3185884 3343872 3430952 3441984 3622528 3821568 3921088 3933696 4140032 4236288 4458496 4589312 4778826 4841472 5146428 5244928 5433792 5575297 5648384 5881632 6210048 6371768 6687744 6861904 6883968 7245056 7643136 7842176 7867392 8280064 8472576 8916992 9178624 9557652 10292856 10489856 10867584 11150594 11296768 11763264 12420096 12743536 13375488 13723808 13767936 14490112 15684352 15734784 16560128 16725891 16945152 17833984 18357248 19115304 20585712 20979712 21735168 22301188 23526528 24840192 25487072 26750976 27447616 27535872 28980224 31368704 31469568 33120256 33451782 33890304 36714496 38230608 41171424 43470336 44602376 47053056 49680384 50974144 53501952 54895232 55071744 57960448 62737408 62939136 66903564 73428992 76461216 82342848 86940672 89204752 94106112 99360768 101948288 109790464 110143488 115920896 125474816 133807128 146857984 152922432 164685696 173881344 178409504 188212224 203896576 219580928 220286976 231841792 250949632 267614256 305844864 329371392 347762688 356819008 376424448 407793152 439161856 440573952 501899264 535228512 611689728 658742784 695525376 713638016 752848896 815586304 878323712 1070457024 1223379456 1317485568 1427276032 1505697792 1631172608 1756647424 2140914048 2446758912 2634971136 2854552064 3262345216 3513294848 4281828096 4893517824 5269942272 5709104128 6524690432 8563656192 9787035648 10539884544 11418208256 17127312384 19574071296 22836416512 34254624768 45672833024 68509249536 137018499072
- Sum of all divisors σ(n): 453410141184
- Sum of proper divisors (its aliquot sum) s(n): 316391642112
- 137018499072 is an abundant number, because the sum of its proper divisors (316391642112) is greater than itself. Its abundance is 179373143040
Bases of 137018499072
- Binary: 11111111001101111000001100000000000002
- Hexadecimal: 0x1FE6F06000
- Base-36: 1QY19YIO
Squares and roots of 137018499072
- 137018499072 squared (1370184990722) is 18774069087943664861184
- 137018499072 cubed (1370184990723) is 2572394767904072930170418912821248
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The
square root of 137018499072 is 370160.0992435571 -
The
cube root of 137018499072 is 5155.3687572605
Scales and comparisons
How big is 137018499072?- 137,018,499,072 seconds is equal to 4,356 years, 39 weeks, 5 days, 6 hours, 11 minutes, 12 seconds.
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To count from 1 to 137,018,499,072 would take you about eight thousand, seven hundred thirteen 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 137018499072 cubic inches would be around 429.6 feet tall.
Recreational maths with 137018499072
- 137018499072 backwards is 270994810731
- The number of decimal digits it has is: 12
- The sum of 137018499072's digits is 51
- More coming soon!
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