138972960
138,972,960 is an even composite number composed of six prime numbers multiplied together.
138972960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138972960:
25 × 32 × 5 × 7 × 17 × 811
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 17 × 811)See below for interesting mathematical facts about the number 138972960 from the Numbermatics database.
Names of 138972960
- Cardinal: 138972960 can be written as One hundred thirty-eight million, nine hundred seventy-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3897296 × 108
Factors of 138972960
Divisors of 138972960
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 28 30 32 34 35 36 40 42 45 48 51 56 60 63 68 70 72 80 84 85 90 96 102 105 112 119 120 126 136 140 144 153 160 168 170 180 204 210 224 238 240 252 255 272 280 288 306 315 336 340 357 360 408 420 476 480 504 510 544 560 595 612 630 672 680 714 720 765 811 816 840 952 1008 1020 1071 1120 1190 1224 1260 1360 1428 1440 1530 1622 1632 1680 1785 1904 2016 2040 2142 2380 2433 2448 2520 2720 2856 3060 3244 3360 3570 3808 4055 4080 4284 4760 4866 4896 5040 5355 5677 5712 6120 6488 7140 7299 8110 8160 8568 9520 9732 10080 10710 11354 11424 12165 12240 12976 13787 14280 14598 16220 17031 17136 19040 19464 21420 22708 24330 24480 25952 27574 28385 28560 29196 32440 34062 34272 36495 38928 41361 42840 45416 48660 51093 55148 56770 57120 58392 64880 68124 68935 72990 77856 82722 85155 85680 90832 96509 97320 102186 110296 113540 116784 124083 129760 136248 137870 145980 165444 170310 171360 181664 193018 194640 204372 206805 220592 227080 233568 248166 255465 272496 275740 289527 291960 330888 340620 386036 389280 408744 413610 441184 454160 482545 496332 510930 544992 551480 579054 583920 620415 661776 681240 772072 817488 827220 868581 908320 965090 992664 1021860 1102960 1158108 1167840 1240830 1323552 1362480 1447635 1544144 1634976 1654440 1737162 1930180 1985328 2043720 2205920 2316216 2481660 2724960 2895270 3088288 3308880 3474324 3860360 3970656 4087440 4342905 4632432 4963320 5790540 6617760 6948648 7720720 8174880 8685810 9264864 9926640 11581080 13897296 15441440 17371620 19853280 23162160 27794592 34743240 46324320 69486480 138972960
- Sum of all divisors σ(n): 574584192
- Sum of proper divisors (its aliquot sum) s(n): 435611232
- 138972960 is an abundant number, because the sum of its proper divisors (435611232) is greater than itself. Its abundance is 296638272
Bases of 138972960
- Binary: 10000100100010001111001000002
- Hexadecimal: 0x8488F20
- Base-36: 2AQO80
Squares and roots of 138972960
- 138972960 squared (1389729602) is 19313483611161600
- 138972960 cubed (1389729603) is 2684051985354616590336000
-
The
square root of 138972960 is 11788.6793153429 -
The
cube root of 138972960 is 517.9765546451
Scales and comparisons
How big is 138972960?- 138,972,960 seconds is equal to 4 years, 21 weeks, 5 days, 11 hours, 36 minutes.
-
To count from 1 to 138,972,960 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 138972960 cubic inches would be around 43.2 feet tall.
Recreational maths with 138972960
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