138153600
138,153,600 is an even composite number composed of five prime numbers multiplied together.
138153600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138153600:
27 × 34 × 52 × 13 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 41)See below for interesting mathematical facts about the number 138153600 from the Numbermatics database.
Names of 138153600
- Cardinal: 138153600 can be written as One hundred thirty-eight million, one hundred fifty-three thousand, six hundred.
Scientific notation
- Scientific notation: 1.381536 × 108
Factors of 138153600
Divisors of 138153600
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 41 45 48 50 52 54 60 64 65 72 75 78 80 81 82 90 96 100 104 108 117 120 123 128 130 135 144 150 156 160 162 164 180 192 195 200 205 208 216 225 234 240 246 260 270 288 300 312 320 324 325 328 351 360 369 384 390 400 405 410 416 432 450 468 480 492 520 533 540 576 585 600 615 624 640 648 650 656 675 702 720 738 780 800 810 820 832 864 900 936 960 975 984 1025 1040 1053 1066 1080 1107 1152 1170 1200 1230 1248 1296 1300 1312 1350 1404 1440 1476 1560 1599 1600 1620 1640 1664 1728 1755 1800 1845 1872 1920 1950 1968 2025 2050 2080 2106 2132 2160 2214 2340 2400 2460 2496 2592 2600 2624 2665 2700 2808 2880 2925 2952 3075 3120 3198 3200 3240 3280 3321 3456 3510 3600 3690 3744 3900 3936 4050 4100 4160 4212 4264 4320 4428 4680 4797 4800 4920 4992 5184 5200 5248 5265 5330 5400 5535 5616 5760 5850 5904 6150 6240 6396 6480 6560 6642 7020 7200 7380 7488 7800 7872 7995 8100 8200 8320 8424 8528 8640 8775 8856 9225 9360 9594 9600 9840 10368 10400 10530 10660 10800 11070 11232 11700 11808 12300 12480 12792 12960 13120 13284 13325 14040 14391 14400 14760 14976 15600 15744 15990 16200 16400 16605 16848 17056 17280 17550 17712 18450 18720 19188 19680 20800 21060 21320 21600 22140 22464 23400 23616 23985 24600 24960 25584 25920 26240 26325 26568 26650 27675 28080 28782 28800 29520 31200 31980 32400 32800 33210 33696 34112 35100 35424 36900 37440 38376 39360 39975 41600 42120 42640 43173 43200 44280 44928 46800 47232 47970 49200 51168 51840 52650 53136 53300 55350 56160 57564 59040 62400 63960 64800 65600 66420 67392 68224 70200 70848 71955 73800 74880 76752 78720 79950 83025 84240 85280 86346 86400 88560 93600 95940 98400 102336 105300 106272 106600 110700 112320 115128 118080 119925 124800 127920 129600 131200 132840 134784 140400 141696 143910 147600 153504 159900 166050 168480 170560 172692 177120 187200 191880 196800 204672 210600 212544 213200 215865 221400 224640 230256 236160 239850 255840 259200 265680 280800 287820 295200 307008 319800 332100 336960 341120 345384 354240 359775 374400 383760 393600 421200 425088 426400 431730 442800 460512 479700 511680 531360 561600 575640 590400 614016 639600 664200 673920 690768 708480 719550 767520 842400 852800 863460 885600 921024 959400 1023360 1062720 1079325 1123200 1151280 1180800 1279200 1328400 1381536 1439100 1535040 1684800 1705600 1726920 1771200 1842048 1918800 2125440 2158650 2302560 2558400 2656800 2763072 2878200 3070080 3369600 3453840 3542400 3837600 4317300 4605120 5116800 5313600 5526144 5756400 6907680 7675200 8634600 9210240 10627200 11512800 13815360 15350400 17269200 23025600 27630720 34538400 46051200 69076800 138153600
- Sum of all divisors σ(n): 562424940
- Sum of proper divisors (its aliquot sum) s(n): 424271340
- 138153600 is an abundant number, because the sum of its proper divisors (424271340) is greater than itself. Its abundance is 286117740
Bases of 138153600
- Binary: 10000011110000001110100000002
- Hexadecimal: 0x83C0E80
- Base-36: 2A9400
Squares and roots of 138153600
- 138153600 squared (1381536002) is 19086417192960000
- 138153600 cubed (1381536003) is 2636857246309318656000000
-
The
square root of 138153600 is 11753.8759564665 -
The
cube root of 138153600 is 516.9565814235
Scales and comparisons
How big is 138153600?- 138,153,600 seconds is equal to 4 years, 20 weeks, 3 days.
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To count from 1 to 138,153,600 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 138153600 cubic inches would be around 43.1 feet tall.
Recreational maths with 138153600
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