138304981584
138,304,981,584 is an even composite number composed of seven prime numbers multiplied together.
138304981584 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138304981584:
24 × 32 × 7 × 11 × 17 × 29 × 25301
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 17 × 29 × 25301)See below for interesting mathematical facts about the number 138304981584 from the Numbermatics database.
Names of 138304981584
- Cardinal: 138304981584 can be written as One hundred thirty-eight billion, three hundred four million, nine hundred eighty-one thousand, five hundred eighty-four.
Scientific notation
- Scientific notation: 1.38304981584 × 1011
Factors of 138304981584
Divisors of 138304981584
- 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 17 18 21 22 24 28 29 33 34 36 42 44 48 51 56 58 63 66 68 72 77 84 87 88 99 102 112 116 119 126 132 136 144 153 154 168 174 176 187 198 203 204 231 232 238 252 261 264 272 306 308 319 336 348 357 374 396 406 408 462 464 476 493 504 522 528 561 609 612 616 638 693 696 714 748 792 812 816 924 952 957 986 1008 1044 1071 1122 1218 1224 1232 1276 1309 1386 1392 1428 1479 1496 1584 1624 1683 1827 1848 1904 1914 1972 2088 2142 2233 2244 2436 2448 2552 2618 2772 2856 2871 2958 2992 3248 3366 3451 3654 3696 3828 3927 3944 4176 4284 4437 4466 4488 4872 5104 5236 5423 5544 5712 5742 5916 6699 6732 6902 7308 7656 7854 7888 8568 8874 8932 8976 9744 10353 10472 10846 11088 11484 11781 11832 13398 13464 13804 14616 15312 15708 16269 17136 17748 17864 20097 20706 20944 21692 22968 23562 23664 25301 26796 26928 27608 29232 31059 31416 32538 35496 35728 37961 40194 41412 43384 45936 47124 48807 50602 53592 55216 62118 62832 65076 70992 75903 75922 80388 82824 86768 94248 97614 101204 107184 113883 124236 130152 151806 151844 160776 165648 177107 188496 195228 202408 227709 227766 248472 260304 278311 303612 303688 321552 341649 354214 390456 404816 430117 455418 455532 496944 531321 556622 607224 607376 683298 708428 733729 780912 834933 860234 910836 911064 1062642 1113244 1214448 1290351 1366596 1416856 1467458 1593963 1669866 1720468 1821672 1822128 1948177 2125284 2201187 2226488 2504799 2580702 2733192 2833712 2934916 3010819 3187926 3339732 3440936 3643344 3871053 3896354 4250568 4402374 4452976 4731287 5009598 5136103 5161404 5466384 5844531 5869832 6021638 6375852 6603561 6679464 6881872 7742106 7792708 8071019 8501136 8804748 9032457 9462574 10019196 10272206 10322808 11689062 11739664 12043276 12473393 12751704 13207122 13358928 14193861 15408309 15484212 15585416 16142038 17533593 17609496 18064914 18925148 20038392 20544412 20645616 23378124 24086552 24213057 24946786 25503408 26414244 27097371 28387722 30816618 30968424 31170832 32284076 33119009 35067186 35218992 36129828 37420179 37850296 40076784 41088824 42581583 46224927 46756248 48173104 48426114 49893572 52828488 54194742 56497133 56775444 61633236 61936848 64568152 66238018 70134372 72259656 72639171 74840358 75700592 82177648 85163166 87313751 92449854 93512496 96852228 99357027 99787144 105656976 108389484 112260537 112994266 113550888 123266472 129136304 132476036 137207323 140268744 144519312 145278342 149680716 169491399 170326332 174627502 184899708 193704456 198714054 199574288 216778968 224521074 225988532 227101776 246532944 261941253 264952072 274414646 280537488 290556684 298071081 299361432 338982798 340652664 349255004 369799416 387408912 397428108 411621969 433557936 449042148 451977064 508474197 523882506 529904144 548829292 581113368 596142162 598722864 677965596 681305328 698510008 739598832 785823759 794856216 823243938 898084296 903954128 960451261 1016948394 1047765012 1097658584 1162226736 1192284324 1234865907 1355931192 1397020016 1571647518 1589712432 1646487876 1796168592 1920902522 2033896788 2095530024 2195317168 2384568648 2469731814 2711862384 2881353783 3143295036 3292975752 3841805044 4067793576 4191060048 4769137296 4939463628 5762707566 6286590072 6585951504 7683610088 8135587152 8644061349 9878927256 11525415132 12573180144 15367220176 17288122698 19757854512 23050830264 34576245396 46101660528 69152490792 138304981584
- Sum of all divisors σ(n): 528597239040
- Sum of proper divisors (its aliquot sum) s(n): 390292257456
- 138304981584 is an abundant number, because the sum of its proper divisors (390292257456) is greater than itself. Its abundance is 251987275872
Bases of 138304981584
- Binary: 100000001100111001111010001010010100002
- Hexadecimal: 0x20339E8A50
- Base-36: 1RJB7QS0
Squares and roots of 138304981584
- 138304981584 squared (1383049815842) is 19128267930950579149056
- 138304981584 cubed (1383049815843) is 2645534743923937632824324470984704
-
The
square root of 138304981584 is 371893.7772859341 -
The
cube root of 138304981584 is 5171.4533061255
Scales and comparisons
How big is 138304981584?- 138,304,981,584 seconds is equal to 4,397 years, 34 weeks, 6 days, 2 hours, 26 minutes, 24 seconds.
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To count from 1 to 138,304,981,584 would take you about eight thousand, seven hundred ninety-five 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 138304981584 cubic inches would be around 431 feet tall.
Recreational maths with 138304981584
- 138304981584 backwards is 485189403831
- The number of decimal digits it has is: 12
- The sum of 138304981584's digits is 54
- More coming soon!
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