135439920
135,439,920 is an even composite number composed of six prime numbers multiplied together.
135439920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 135439920:
24 × 32 × 5 × 72 × 11 × 349
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 11 × 349)See below for interesting mathematical facts about the number 135439920 from the Numbermatics database.
Names of 135439920
- Cardinal: 135439920 can be written as One hundred thirty-five million, four hundred thirty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3543992 × 108
Factors of 135439920
Divisors of 135439920
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 33 35 36 40 42 44 45 48 49 55 56 60 63 66 70 72 77 80 84 88 90 98 99 105 110 112 120 126 132 140 144 147 154 165 168 176 180 196 198 210 220 231 240 245 252 264 280 294 308 315 330 336 349 360 385 392 396 420 440 441 462 490 495 504 528 539 560 588 616 630 660 693 698 720 735 770 784 792 840 880 882 924 980 990 1008 1047 1078 1155 1176 1232 1260 1320 1386 1396 1470 1540 1584 1617 1680 1745 1764 1848 1960 1980 2094 2156 2205 2310 2352 2443 2520 2640 2695 2772 2792 2940 3080 3141 3234 3465 3490 3528 3696 3839 3920 3960 4188 4312 4410 4620 4851 4886 5040 5235 5390 5544 5584 5880 6160 6282 6468 6930 6980 7056 7329 7678 7920 8085 8376 8624 8820 9240 9702 9772 10470 10780 11088 11517 11760 12215 12564 12936 13860 13960 14658 15356 15705 16170 16752 17101 17640 18480 19195 19404 19544 20940 21560 21987 23034 24255 24430 25128 25872 26873 27720 27920 29316 30712 31410 32340 34202 34551 35280 36645 38390 38808 39088 41880 43120 43974 46068 48510 48860 50256 51303 53746 55440 57585 58632 61424 62820 64680 68404 69102 73290 76780 77616 80619 83760 85505 87948 92136 97020 97720 102606 107492 109935 115170 117264 125640 129360 134365 136808 138204 146580 153560 153909 161238 171010 172755 175896 184272 188111 194040 195440 205212 214984 219870 230340 241857 251280 256515 268730 273616 276408 293160 307120 307818 322476 342020 345510 351792 376222 388080 403095 410424 429968 439740 460680 483714 513030 537460 552816 564333 586320 615636 644952 684040 691020 752444 769545 806190 820848 879480 921360 940555 967428 1026060 1074920 1128666 1209285 1231272 1289904 1368080 1382040 1504888 1539090 1612380 1692999 1758960 1881110 1934856 2052120 2149840 2257332 2418570 2462544 2764080 2821665 3009776 3078180 3224760 3385998 3762220 3869712 4104240 4514664 4837140 5643330 6156360 6449520 6771996 7524440 8464995 9029328 9674280 11286660 12312720 13543992 15048880 16929990 19348560 22573320 27087984 33859980 45146640 67719960 135439920
- Sum of all divisors σ(n): 578869200
- Sum of proper divisors (its aliquot sum) s(n): 443429280
- 135439920 is an abundant number, because the sum of its proper divisors (443429280) is greater than itself. Its abundance is 307989360
Bases of 135439920
- Binary: 10000001001010100110001100002
- Hexadecimal: 0x812A630
- Base-36: 28MY40
Squares and roots of 135439920
- 135439920 squared (1354399202) is 18343971929606400
- 135439920 cubed (1354399203) is 2484506090628136447488000
-
The
square root of 135439920 is 11637.8657837251 -
The
cube root of 135439920 is 513.5494039889
Scales and comparisons
How big is 135439920?- 135,439,920 seconds is equal to 4 years, 15 weeks, 6 days, 14 hours, 12 minutes.
-
To count from 1 to 135,439,920 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 135439920 cubic inches would be around 42.8 feet tall.
Recreational maths with 135439920
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