107315040
107,315,040 is an even composite number composed of six prime numbers multiplied together.
107315040 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 107315040:
25 × 3 × 5 × 7 × 19 × 412
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 19 × 41 × 41)See below for interesting mathematical facts about the number 107315040 from the Numbermatics database.
Names of 107315040
- Cardinal: 107315040 can be written as One hundred seven million, three hundred fifteen thousand and forty.
Scientific notation
- Scientific notation: 1.0731504 × 108
Factors of 107315040
Divisors of 107315040
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 32 35 38 40 41 42 48 56 57 60 70 76 80 82 84 95 96 105 112 114 120 123 133 140 152 160 164 168 190 205 210 224 228 240 246 266 280 285 287 304 328 336 380 399 410 420 456 480 492 532 560 570 574 608 615 656 665 672 760 779 798 820 840 861 912 984 1064 1120 1140 1148 1230 1312 1330 1435 1520 1558 1596 1640 1680 1681 1722 1824 1968 1995 2128 2280 2296 2337 2460 2660 2870 3040 3116 3192 3280 3360 3362 3444 3895 3936 3990 4256 4305 4560 4592 4674 4920 5043 5320 5453 5740 6232 6384 6560 6724 6888 7790 7980 8405 8610 9120 9184 9348 9840 10086 10640 10906 11480 11685 11767 12464 12768 13448 13776 15580 15960 16359 16810 17220 18696 19680 20172 21280 21812 22960 23370 23534 24928 25215 26896 27265 27552 31160 31920 31939 32718 33620 34440 35301 37392 40344 43624 45920 46740 47068 50430 53792 54530 58835 62320 63840 63878 65436 67240 68880 70602 74784 80688 81795 87248 93480 94136 95817 100860 109060 117670 124640 127756 130872 134480 137760 141204 159695 161376 163590 174496 176505 186960 188272 191634 201720 218120 223573 235340 255512 261744 268960 282408 319390 327180 353010 373920 376544 383268 403440 436240 447146 470680 479085 511024 523488 564816 638780 654360 670719 706020 766536 806880 872480 894292 941360 958170 1022048 1117865 1129632 1277560 1308720 1341438 1412040 1533072 1788584 1882720 1916340 2235730 2555120 2617440 2682876 2824080 3066144 3353595 3577168 3832680 4471460 5110240 5365752 5648160 6707190 7154336 7665360 8942920 10731504 13414380 15330720 17885840 21463008 26828760 35771680 53657520 107315040
- Sum of all divisors σ(n): 416828160
- Sum of proper divisors (its aliquot sum) s(n): 309513120
- 107315040 is an abundant number, because the sum of its proper divisors (309513120) is greater than itself. Its abundance is 202198080
Bases of 107315040
- Binary: 1100110010101111111011000002
- Hexadecimal: 0x6657F60
- Base-36: 1RW4TC
Squares and roots of 107315040
- 107315040 squared (1073150402) is 11516517810201600
- 107315040 cubed (1073150403) is 1235895569462497112064000
-
The
square root of 107315040 is 10359.2972734641 -
The
cube root of 107315040 is 475.2114146607
Scales and comparisons
How big is 107315040?- 107,315,040 seconds is equal to 3 years, 21 weeks, 3 days, 1 hour, 44 minutes.
-
To count from 1 to 107,315,040 would take you about five 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 107315040 cubic inches would be around 39.6 feet tall.
Recreational maths with 107315040
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