138984384
138,984,384 is an even composite number composed of six prime numbers multiplied together.
138984384 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 138984384:
26 × 3 × 72 × 11 × 17 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 17 × 79)See below for interesting mathematical facts about the number 138984384 from the Numbermatics database.
Names of 138984384
- Cardinal: 138984384 can be written as One hundred thirty-eight million, nine hundred eighty-four thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.38984384 × 108
Factors of 138984384
Divisors of 138984384
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 32 33 34 42 44 48 49 51 56 64 66 68 77 79 84 88 96 98 102 112 119 132 136 147 154 158 168 176 187 192 196 204 224 231 237 238 264 272 294 308 316 336 352 357 374 392 408 448 462 474 476 528 539 544 553 561 588 616 632 672 704 714 748 784 816 833 869 924 948 952 1056 1078 1088 1106 1122 1176 1232 1264 1309 1343 1344 1428 1496 1568 1617 1632 1659 1666 1738 1848 1896 1904 2112 2156 2212 2244 2352 2464 2499 2528 2607 2618 2686 2856 2992 3136 3234 3264 3318 3332 3476 3696 3792 3808 3871 3927 4029 4312 4424 4488 4704 4928 4998 5056 5214 5236 5372 5712 5984 6083 6468 6636 6664 6952 7392 7584 7616 7742 7854 8058 8624 8848 8976 9163 9401 9408 9996 10428 10472 10744 11424 11613 11968 12166 12936 13272 13328 13904 14773 14784 15168 15484 15708 16116 17248 17696 17952 18249 18326 18802 19992 20856 20944 21488 22848 23226 24332 25872 26544 26656 27489 27808 28203 29546 30968 31416 32232 34496 35392 35904 36498 36652 37604 39984 41712 41888 42581 42976 44319 46452 48664 51744 53088 53312 54978 55616 56406 59092 61936 62832 64464 65807 72996 73304 75208 79968 83424 83776 85162 85952 88638 92904 97328 103411 103488 106176 109956 112812 118184 123872 125664 127743 128928 131614 145992 146608 150416 159936 166848 170324 177276 185808 194656 197421 206822 219912 225624 236368 247744 251328 255486 257856 263228 291984 293216 300832 310233 340648 354552 371616 389312 394842 413644 439824 451248 472736 510972 526456 583968 586432 601664 620466 681296 709104 723877 743232 789684 827288 879648 902496 945472 1021944 1052912 1167936 1240932 1362592 1418208 1447754 1579368 1654576 1759296 1804992 2043888 2105824 2171631 2481864 2725184 2836416 2895508 3158736 3309152 4087776 4211648 4343262 4963728 5791016 6317472 6618304 8175552 8686524 9927456 11582032 12634944 17373048 19854912 23164064 34746096 46328128 69492192 138984384
- Sum of all divisors σ(n): 500359680
- Sum of proper divisors (its aliquot sum) s(n): 361375296
- 138984384 is an abundant number, because the sum of its proper divisors (361375296) is greater than itself. Its abundance is 222390912
Bases of 138984384
- Binary: 10000100100010111011110000002
- Hexadecimal: 0x848BBC0
- Base-36: 2AQX1C
Squares and roots of 138984384
- 138984384 squared (1389843842) is 19316658995859456
- 138984384 cubed (1389843843) is 2684713951477585042735104
-
The
square root of 138984384 is 11789.1638380337 -
The
cube root of 138984384 is 517.9907473389
Scales and comparisons
How big is 138984384?- 138,984,384 seconds is equal to 4 years, 21 weeks, 5 days, 14 hours, 46 minutes, 24 seconds.
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To count from 1 to 138,984,384 would take you about 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 138984384 cubic inches would be around 43.2 feet tall.
Recreational maths with 138984384
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