113829120
113,829,120 is an even composite number composed of five prime numbers multiplied together.
113829120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 113829120:
28 × 32 × 5 × 41 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 41 × 241)See below for interesting mathematical facts about the number 113829120 from the Numbermatics database.
Names of 113829120
- Cardinal: 113829120 can be written as One hundred thirteen million, eight hundred twenty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.1382912 × 108
Factors of 113829120
Divisors of 113829120
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 64 72 80 82 90 96 120 123 128 144 160 164 180 192 205 240 241 246 256 288 320 328 360 369 384 410 480 482 492 576 615 640 656 720 723 738 768 820 960 964 984 1152 1205 1230 1280 1312 1440 1446 1476 1640 1845 1920 1928 1968 2169 2304 2410 2460 2624 2880 2892 2952 3280 3615 3690 3840 3856 3936 4338 4820 4920 5248 5760 5784 5904 6560 7230 7380 7712 7872 8676 9640 9840 9881 10496 10845 11520 11568 11808 13120 14460 14760 15424 15744 17352 19280 19680 19762 21690 23136 23616 26240 28920 29520 29643 30848 31488 34704 38560 39360 39524 43380 46272 47232 49405 52480 57840 59040 59286 61696 69408 77120 78720 79048 86760 88929 92544 94464 98810 115680 118080 118572 138816 148215 154240 157440 158096 173520 177858 185088 197620 231360 236160 237144 277632 296430 308480 316192 347040 355716 395240 444645 462720 472320 474288 555264 592860 632384 694080 711432 790480 889290 925440 948576 1185720 1264768 1388160 1422864 1580960 1778580 1897152 2371440 2529536 2776320 2845728 3161920 3557160 3794304 4742880 5691456 6323840 7114320 7588608 9485760 11382912 12647680 14228640 18971520 22765824 28457280 37943040 56914560 113829120
- Sum of all divisors σ(n): 405116712
- Sum of proper divisors (its aliquot sum) s(n): 291287592
- 113829120 is an abundant number, because the sum of its proper divisors (291287592) is greater than itself. Its abundance is 177458472
Bases of 113829120
- Binary: 1101100100011100101000000002
- Hexadecimal: 0x6C8E500
- Base-36: 1VRR40
Squares and roots of 113829120
- 113829120 squared (1138291202) is 12957068559974400
- 113829120 cubed (1138291203) is 1474891711961553174528000
-
The
square root of 113829120 is 10669.0730618925 -
The
cube root of 113829120 is 484.6383671873
Scales and comparisons
How big is 113829120?- 113,829,120 seconds is equal to 3 years, 32 weeks, 1 day, 11 hours, 12 minutes.
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To count from 1 to 113,829,120 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 113829120 cubic inches would be around 40.4 feet tall.
Recreational maths with 113829120
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