12137046768
12,137,046,768 is an even composite number composed of six prime numbers multiplied together.
12137046768 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 12137046768:
24 × 32 × 73 × 11 × 89 × 251
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 11 × 89 × 251)See below for interesting mathematical facts about the number 12137046768 from the Numbermatics database.
Names of 12137046768
- Cardinal: 12137046768 can be written as Twelve billion, one hundred thirty-seven million, forty-six thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.2137046768 × 1010
Factors of 12137046768
Divisors of 12137046768
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 49 56 63 66 72 77 84 88 89 98 99 112 126 132 144 147 154 168 176 178 196 198 231 251 252 264 267 294 308 336 343 356 392 396 441 462 502 504 528 534 539 588 616 623 686 693 712 753 784 792 801 882 924 979 1004 1008 1029 1068 1078 1176 1232 1246 1372 1386 1424 1506 1584 1602 1617 1757 1764 1848 1869 1958 2008 2058 2136 2156 2259 2352 2492 2744 2761 2772 2937 3012 3087 3204 3234 3514 3528 3696 3738 3773 3916 4016 4116 4272 4312 4361 4518 4851 4984 5271 5488 5522 5544 5607 5874 6024 6174 6408 6468 6853 7028 7056 7476 7546 7832 8232 8283 8624 8722 8811 9036 9702 9968 10542 11044 11088 11214 11319 11748 12048 12299 12348 12816 12936 13083 13706 14056 14952 15092 15664 15813 16464 16566 17444 17622 18072 19327 19404 20559 21084 22088 22339 22428 22638 23496 24598 24696 24849 25872 26166 27412 28112 29904 30184 30527 31626 33132 33957 34888 35244 36144 36897 38654 38808 39249 41118 42168 44176 44678 44856 45276 46992 47971 49196 49392 49698 52332 54824 57981 60368 61054 61677 63252 66264 67017 67914 69776 70488 73794 77308 77616 78498 82236 84336 86093 89356 89712 90552 91581 95942 98392 99396 104664 109648 110691 115962 122108 123354 126504 132528 134034 135289 135828 140976 143913 147588 154616 156373 156996 164472 172186 173943 178712 181104 183162 191884 196784 198792 201051 209328 221382 231924 244216 245729 246708 253008 258279 268068 270578 271656 274743 287826 295176 309232 312746 313992 328944 335797 344372 347886 357424 366324 383768 397584 402102 405867 431739 442764 463848 469119 488432 491458 493416 516558 536136 541156 543312 549486 575652 590352 625492 627984 671594 688744 695772 732648 737187 767536 774837 804204 811734 863478 885528 927696 938238 947023 982916 986832 1007391 1033116 1072272 1082312 1094611 1098972 1151304 1217601 1250984 1343188 1377488 1391544 1407357 1465296 1474374 1549674 1608408 1623468 1720103 1726956 1771056 1876476 1894046 1965832 2014782 2066232 2164624 2189222 2197944 2211561 2302608 2435202 2501968 2686376 2783088 2814714 2841069 2948748 3022173 3099348 3216816 3246936 3283833 3440206 3453912 3752952 3788092 3931664 4029564 4132464 4378444 4395888 4423122 4870404 5160309 5372752 5629428 5682138 5897496 6044346 6198696 6493872 6567666 6880412 6907824 7505904 7576184 7662277 8059128 8523207 8756888 8846244 9740808 9851499 10320618 11258856 11364276 11794992 12040721 12088692 12397392 13135332 13760824 15152368 15324554 15480927 16118256 17046414 17513776 17692488 19481616 19702998 20641236 22517712 22728552 22986831 24081442 24177384 26270664 27521648 30649108 30961854 34092828 35384976 36122163 39405996 41282472 45457104 45973662 48162884 48354768 52541328 61298216 61923708 68185656 68960493 72244326 78811992 82564944 84285047 91947324 96325768 108366489 122596432 123847416 136371312 137920986 144488652 157623984 168570094 183894648 192651536 216732978 247694832 252855141 275841972 288977304 337140188 367789296 433465956 505710282 551683944 577954608 674280376 758565423 866931912 1011420564 1103367888 1348560752 1517130846 1733863824 2022841128 3034261692 4045682256 6068523384 12137046768
- Sum of all divisors σ(n): 43872192000
- Sum of proper divisors (its aliquot sum) s(n): 31735145232
- 12137046768 is an abundant number, because the sum of its proper divisors (31735145232) is greater than itself. Its abundance is 19598098464
Bases of 12137046768
- Binary: 10110100110110110010100010111100002
- Hexadecimal: 0x2D36CA2F0
- Base-36: 5KQ3180
Squares and roots of 12137046768
- 12137046768 squared (121370467682) is 147307904248619245824
- 12137046768 cubed (121370467683) is 1787882923161557685990776696832
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The
square root of 12137046768 is 110168.2657029691 -
The
cube root of 12137046768 is 2298.1110368169
Scales and comparisons
How big is 12137046768?- 12,137,046,768 seconds is equal to 385 years, 47 weeks, 6 days, 1 hour, 52 minutes, 48 seconds.
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To count from 1 to 12,137,046,768 would take you about seven hundred seventy-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 12137046768 cubic inches would be around 191.5 feet tall.
Recreational maths with 12137046768
- 12137046768 backwards is 86764073121
- The number of decimal digits it has is: 11
- The sum of 12137046768's digits is 45
- More coming soon!
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