138875040
138,875,040 is an even composite number composed of six prime numbers multiplied together.
138875040 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 138875040:
25 × 33 × 5 × 17 × 31 × 61
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 31 × 61)See below for interesting mathematical facts about the number 138875040 from the Numbermatics database.
Names of 138875040
- Cardinal: 138875040 can be written as One hundred thirty-eight million, eight hundred seventy-five thousand and forty.
Scientific notation
- Scientific notation: 1.3887504 × 108
Factors of 138875040
Divisors of 138875040
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 31 32 34 36 40 45 48 51 54 60 61 62 68 72 80 85 90 93 96 102 108 120 122 124 135 136 144 153 155 160 170 180 183 186 204 216 240 244 248 255 270 272 279 288 305 306 310 340 360 366 372 408 432 459 465 480 488 496 510 527 540 544 549 558 610 612 620 680 720 732 744 765 816 837 864 915 918 930 976 992 1020 1037 1054 1080 1098 1116 1220 1224 1240 1360 1395 1440 1464 1488 1530 1581 1632 1647 1674 1830 1836 1860 1891 1952 2040 2074 2108 2160 2196 2232 2295 2440 2448 2480 2635 2720 2745 2790 2928 2976 3060 3111 3162 3294 3348 3660 3672 3720 3782 4080 4148 4185 4216 4320 4392 4464 4590 4743 4880 4896 4960 5185 5270 5490 5580 5673 5856 6120 6222 6324 6588 6696 7320 7344 7440 7564 7905 8160 8235 8296 8370 8432 8784 8928 9180 9333 9455 9486 9760 10370 10540 10980 11160 11346 12240 12444 12648 13176 13392 14229 14640 14688 14880 15128 15555 15810 16470 16592 16740 16864 17019 17568 18360 18666 18910 18972 20740 21080 21960 22320 22692 23715 24480 24888 25296 26352 26784 27999 28365 28458 29280 30256 31110 31620 32147 32940 33184 33480 34038 36720 37332 37820 37944 41480 42160 43920 44640 45384 46665 47430 49776 50592 51057 52704 55998 56730 56916 60512 62220 63240 64294 65880 66960 68076 71145 73440 74664 75640 75888 82960 84320 85095 87840 90768 93330 94860 96441 99552 102114 111996 113460 113832 124440 126480 128588 131760 133920 136152 139995 142290 149328 151280 151776 160735 165920 170190 181536 186660 189720 192882 204228 223992 226920 227664 248880 252960 255285 257176 263520 272304 279990 284580 289323 298656 302560 321470 340380 373320 379440 385764 408456 447984 453840 455328 482205 497760 510570 514352 544608 559980 569160 578646 642940 680760 746640 758880 771528 816912 867969 895968 907680 964410 1021140 1028704 1119960 1138320 1157292 1285880 1361520 1446615 1493280 1543056 1633824 1735938 1928820 2042280 2239920 2276640 2314584 2571760 2723040 2893230 3086112 3471876 3857640 4084560 4339845 4479840 4629168 5143520 5786460 6943752 7715280 8169120 8679690 9258336 11572920 13887504 15430560 17359380 23145840 27775008 34718760 46291680 69437520 138875040
- Sum of all divisors σ(n): 539965440
- Sum of proper divisors (its aliquot sum) s(n): 401090400
- 138875040 is an abundant number, because the sum of its proper divisors (401090400) is greater than itself. Its abundance is 262215360
Bases of 138875040
- Binary: 10000100011100010000101000002
- Hexadecimal: 0x84710A0
- Base-36: 2AOKO0
Squares and roots of 138875040
- 138875040 squared (1388750402) is 19286276735001600
- 138875040 cubed (1388750403) is 2678382453024416600064000
-
The
square root of 138875040 is 11784.5254465337 -
The
cube root of 138875040 is 517.8548710663
Scales and comparisons
How big is 138875040?- 138,875,040 seconds is equal to 4 years, 21 weeks, 4 days, 8 hours, 24 minutes.
-
To count from 1 to 138,875,040 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 138875040 cubic inches would be around 43.2 feet tall.
Recreational maths with 138875040
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