138552960
138,552,960 is an even composite number composed of six prime numbers multiplied together.
138552960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138552960:
27 × 3 × 5 × 7 × 132 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 13 × 61)See below for interesting mathematical facts about the number 138552960 from the Numbermatics database.
Names of 138552960
- Cardinal: 138552960 can be written as One hundred thirty-eight million, five hundred fifty-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3855296 × 108
Factors of 138552960
Divisors of 138552960
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 61 64 65 70 78 80 84 91 96 104 105 112 120 122 128 130 140 156 160 168 169 182 183 192 195 208 210 224 240 244 260 273 280 305 312 320 336 338 364 366 384 390 416 420 427 448 455 480 488 507 520 546 560 610 624 640 672 676 728 732 780 793 832 840 845 854 896 910 915 960 976 1014 1040 1092 1120 1183 1220 1248 1281 1344 1352 1365 1456 1464 1560 1586 1664 1680 1690 1708 1820 1830 1920 1952 2028 2080 2135 2184 2240 2366 2379 2440 2496 2535 2562 2688 2704 2730 2912 2928 3120 3172 3360 3380 3416 3549 3640 3660 3904 3965 4056 4160 4270 4368 4480 4732 4758 4880 4992 5070 5124 5408 5460 5551 5824 5856 5915 6240 6344 6405 6720 6760 6832 7098 7280 7320 7808 7930 8112 8320 8540 8736 9464 9516 9760 10140 10248 10309 10816 10920 11102 11648 11712 11830 11895 12480 12688 12810 13440 13520 13664 14196 14560 14640 15860 16224 16653 17080 17472 17745 18928 19032 19520 20280 20496 20618 21632 21840 22204 23424 23660 23790 24960 25376 25620 27040 27328 27755 28392 29120 29280 30927 31720 32448 33306 34160 34944 35490 37856 38064 39040 40560 40992 41236 43680 44408 47320 47580 50752 51240 51545 54080 54656 55510 56784 58240 58560 61854 63440 64896 66612 68320 70980 72163 75712 76128 81120 81984 82472 83265 87360 88816 94640 95160 101504 102480 103090 108160 111020 113568 117120 123708 126880 133224 136640 141960 144326 151424 152256 154635 162240 163968 164944 166530 174720 177632 189280 190320 204960 206180 216489 222040 227136 247416 253760 266448 273280 283920 288652 304512 309270 324480 329888 333060 355264 360815 378560 380640 409920 412360 432978 444080 454272 494832 507520 532896 567840 577304 618540 659776 666120 710528 721630 757120 761280 819840 824720 865956 888160 989664 1065792 1082445 1135680 1154608 1237080 1319552 1332240 1443260 1522560 1649440 1731912 1776320 1979328 2131584 2164890 2271360 2309216 2474160 2664480 2886520 3298880 3463824 3552640 3958656 4329780 4618432 4948320 5328960 5773040 6597760 6927648 8659560 9236864 9896640 10657920 11546080 13855296 17319120 19793280 23092160 27710592 34638240 46184320 69276480 138552960
- Sum of all divisors σ(n): 555500160
- Sum of proper divisors (its aliquot sum) s(n): 416947200
- 138552960 is an abundant number, because the sum of its proper divisors (416947200) is greater than itself. Its abundance is 278394240
Bases of 138552960
- Binary: 10000100001000100110100000002
- Hexadecimal: 0x8422680
- Base-36: 2AHO5C
Squares and roots of 138552960
- 138552960 squared (1385529602) is 19196922724761600
- 138552960 cubed (1385529603) is 2659790466406984974336000
-
The
square root of 138552960 is 11770.8521356781 -
The
cube root of 138552960 is 517.4542235873
Scales and comparisons
How big is 138552960?- 138,552,960 seconds is equal to 4 years, 21 weeks, 14 hours, 56 minutes.
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To count from 1 to 138,552,960 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 138552960 cubic inches would be around 43.1 feet tall.
Recreational maths with 138552960
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