137142720
137,142,720 is an even composite number composed of six prime numbers multiplied together.
137142720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred sixty divisors.
Prime factorization of 137142720:
26 × 34 × 5 × 11 × 13 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 13 × 37)See below for interesting mathematical facts about the number 137142720 from the Numbermatics database.
Names of 137142720
- Cardinal: 137142720 can be written as One hundred thirty-seven million, one hundred forty-two thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3714272 × 108
Factors of 137142720
Divisors of 137142720
- Number of divisors d(n): 560
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 32 33 36 37 39 40 44 45 48 52 54 55 60 64 65 66 72 74 78 80 81 88 90 96 99 104 108 110 111 117 120 130 132 135 143 144 148 156 160 162 165 176 180 185 192 195 198 208 216 220 222 234 240 260 264 270 286 288 296 297 312 320 324 330 333 351 352 360 370 390 396 405 407 416 429 432 440 444 468 480 481 495 520 528 540 555 572 576 585 592 594 624 648 660 666 702 704 715 720 740 780 792 810 814 832 858 864 880 888 891 936 960 962 990 999 1040 1053 1056 1080 1110 1144 1170 1184 1188 1221 1248 1287 1296 1320 1332 1404 1430 1440 1443 1480 1485 1560 1584 1620 1628 1665 1716 1728 1755 1760 1776 1782 1872 1924 1980 1998 2035 2080 2106 2112 2145 2160 2220 2288 2340 2368 2376 2405 2442 2496 2574 2592 2640 2664 2808 2860 2880 2886 2960 2970 2997 3120 3168 3240 3256 3330 3432 3510 3520 3552 3564 3663 3744 3848 3861 3960 3996 4070 4160 4212 4290 4320 4329 4440 4455 4576 4680 4752 4810 4884 4995 5148 5184 5265 5280 5291 5328 5616 5720 5772 5920 5940 5994 6105 6240 6336 6435 6480 6512 6660 6864 7020 7104 7128 7215 7326 7488 7696 7722 7920 7992 8140 8424 8580 8640 8658 8880 8910 9152 9360 9504 9620 9768 9990 10296 10530 10560 10582 10656 10989 11232 11440 11544 11583 11840 11880 11988 12210 12480 12870 12960 12987 13024 13320 13728 14040 14256 14430 14652 14985 15392 15444 15840 15873 15984 16280 16848 17160 17316 17760 17820 18315 18720 19008 19240 19305 19536 19980 20592 21060 21164 21312 21645 21978 22464 22880 23088 23166 23760 23976 24420 25740 25920 25974 26048 26455 26640 27456 28080 28512 28860 29304 29970 30784 30888 31680 31746 31968 32560 32967 33696 34320 34632 35520 35640 36630 37440 38480 38610 38961 39072 39960 41184 42120 42328 43290 43956 45760 46176 46332 47520 47619 47952 48840 51480 51948 52910 53280 54945 56160 57024 57720 57915 58608 59940 61776 63492 63936 64935 65120 65934 67392 68640 69264 71280 73260 76960 77220 77922 78144 79365 79920 82368 84240 84656 86580 87912 92352 92664 95040 95238 95904 97680 102960 103896 105820 106560 109890 112320 115440 115830 117216 119880 123552 126984 129870 130240 131868 137280 138528 142560 142857 146520 153920 154440 155844 158730 159840 164835 168480 169312 173160 175824 185328 190476 191808 194805 195360 205920 207792 211640 219780 230880 231660 234432 238095 239760 247104 253968 259740 263736 277056 285120 285714 293040 308880 311688 317460 319680 329670 336960 338624 346320 351648 370656 380952 389610 390720 411840 415584 423280 428571 439560 461760 463320 476190 479520 507936 519480 527472 571428 586080 617760 623376 634920 659340 692640 703296 714285 741312 761904 779220 831168 846560 857142 879120 926640 952380 959040 1015872 1038960 1054944 1142856 1172160 1235520 1246752 1269840 1318680 1385280 1428570 1523808 1558440 1693120 1714284 1758240 1853280 1904760 2077920 2109888 2142855 2285712 2493504 2539680 2637360 2857140 3047616 3116880 3428568 3516480 3706560 3809520 4155840 4285710 4571424 5079360 5274720 5714280 6233760 6857136 7619040 8571420 9142848 10549440 11428560 12467520 13714272 15238080 17142840 22857120 27428544 34285680 45714240 68571360 137142720
- Sum of all divisors σ(n): 588617568
- Sum of proper divisors (its aliquot sum) s(n): 451474848
- 137142720 is an abundant number, because the sum of its proper divisors (451474848) is greater than itself. Its abundance is 314332128
Bases of 137142720
- Binary: 10000010110010100001110000002
- Hexadecimal: 0x82CA1C0
- Base-36: 29NG00
Squares and roots of 137142720
- 137142720 squared (1371427202) is 18808125648998400
- 137142720 cubed (1371427203) is 2579397509605405851648000
-
The
square root of 137142720 is 11710.7950199803 -
The
cube root of 137142720 is 515.6926238581
Scales and comparisons
How big is 137142720?- 137,142,720 seconds is equal to 4 years, 18 weeks, 5 days, 7 hours, 12 minutes.
-
To count from 1 to 137,142,720 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 137142720 cubic inches would be around 43 feet tall.
Recreational maths with 137142720
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