12048138816
12,048,138,816 is an even composite number composed of six prime numbers multiplied together.
12048138816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 12048138816:
26 × 3 × 72 × 17 × 71 × 1061
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 17 × 71 × 1061)See below for interesting mathematical facts about the number 12048138816 from the Numbermatics database.
Names of 12048138816
- Cardinal: 12048138816 can be written as Twelve billion, forty-eight million, one hundred thirty-eight thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.2048138816 × 1010
Factors of 12048138816
Divisors of 12048138816
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 64 68 71 84 96 98 102 112 119 136 142 147 168 192 196 204 213 224 238 272 284 294 336 357 392 408 426 448 476 497 544 568 588 672 714 784 816 833 852 952 994 1061 1088 1136 1176 1207 1344 1428 1491 1568 1632 1666 1704 1904 1988 2122 2272 2352 2414 2499 2856 2982 3136 3183 3264 3332 3408 3479 3621 3808 3976 4244 4544 4704 4828 4998 5712 5964 6366 6664 6816 6958 7242 7427 7616 7952 8449 8488 9408 9656 9996 10437 11424 11928 12732 13328 13632 13916 14484 14854 15904 16898 16976 18037 19312 19992 20874 22281 22848 23856 25347 25464 26656 27832 28968 29708 31808 33796 33952 36074 38624 39984 41748 44562 47712 50694 50928 51989 53312 54111 55664 57936 59143 59416 67592 67904 72148 75331 77248 79968 83496 89124 95424 101388 101856 103978 108222 111328 115872 118286 118832 126259 135184 144296 150662 155967 159936 166992 177429 178248 202776 203712 207956 216444 222656 225993 231744 236572 237664 252518 270368 288592 301324 311934 333984 354858 356496 378777 405552 415912 432888 451986 473144 475328 505036 527317 540736 577184 602648 623868 667968 709716 712992 757554 811104 831824 865776 883813 903972 946288 1010072 1054634 1154368 1205296 1247736 1280627 1419432 1425984 1515108 1581951 1622208 1663648 1731552 1767626 1807944 1892576 2020144 2109268 2410592 2495472 2561254 2651439 2838864 3030216 3163902 3327296 3463104 3535252 3615888 3691219 3785152 3841881 4040288 4218536 4821184 4990944 5122508 5302878 5677728 6060432 6327804 7070504 7231776 7382438 7683762 8080576 8437072 8964389 9981888 10245016 10605756 11073657 11355456 12120864 12655608 14141008 14463552 14764876 15367524 16874144 17928778 20490032 21211512 22147314 24241728 25311216 26893167 28282016 29529752 30735048 33748288 35857556 40980064 42423024 44294628 50622432 53786334 56564032 59059504 61470096 62750723 71715112 81960128 84846048 88589256 101244864 107572668 118119008 122940192 125501446 143430224 169692096 177178512 188252169 215145336 236238016 245880384 251002892 286860448 354357024 376504338 430290672 502005784 573720896 708714048 753008676 860581344 1004011568 1506017352 1721162688 2008023136 3012034704 4016046272 6024069408 12048138816
- Sum of all divisors σ(n): 39853648512
- Sum of proper divisors (its aliquot sum) s(n): 27805509696
- 12048138816 is an abundant number, because the sum of its proper divisors (27805509696) is greater than itself. Its abundance is 15757370880
Bases of 12048138816
- Binary: 10110011100010000000000010010000002
- Hexadecimal: 0x2CE200240
- Base-36: 5J95FEO
Squares and roots of 12048138816
- 12048138816 squared (120481388162) is 145157648929605881856
- 12048138816 cubed (120481388163) is 1748879504508085476771183722496
-
The
square root of 12048138816 is 109764.0142123091 -
The
cube root of 12048138816 is 2292.4857998849
Scales and comparisons
How big is 12048138816?- 12,048,138,816 seconds is equal to 383 years, 4 weeks, 6 days, 1 hour, 13 minutes, 36 seconds.
-
To count from 1 to 12,048,138,816 would take you about seven hundred sixty-six 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 12048138816 cubic inches would be around 191 feet tall.
Recreational maths with 12048138816
- 12048138816 backwards is 61883184021
- 12048138816 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 12048138816's digits is 42
- More coming soon!
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