830113440
830,113,440 is an even composite number composed of six prime numbers multiplied together.
What does the number 830113440 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.
830113440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 830113440:
25 × 3 × 5 × 13 × 151 × 881
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 151 × 881)See below for interesting mathematical facts about the number 830113440 from the Numbermatics database.
Names of 830113440
- Cardinal: 830113440 can be written as Eight hundred thirty million, one hundred thirteen thousand, four hundred forty.
Scientific notation
- Scientific notation: 8.3011344 × 108
Factors of 830113440
Divisors of 830113440
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 151 156 160 195 208 240 260 302 312 390 416 453 480 520 604 624 755 780 881 906 1040 1208 1248 1510 1560 1762 1812 1963 2080 2265 2416 2643 3020 3120 3524 3624 3926 4405 4530 4832 5286 5889 6040 6240 7048 7248 7852 8810 9060 9815 10572 11453 11778 12080 13215 14096 14496 15704 17620 18120 19630 21144 22906 23556 24160 26430 28192 29445 31408 34359 35240 36240 39260 42288 45812 47112 52860 57265 58890 62816 68718 70480 72480 78520 84576 91624 94224 105720 114530 117780 133031 137436 140960 157040 171795 183248 188448 211440 229060 235560 266062 274872 314080 343590 366496 399093 422880 458120 471120 532124 549744 665155 687180 798186 916240 942240 1064248 1099488 1330310 1374360 1596372 1729403 1832480 1995465 2128496 2660620 2748720 3192744 3458806 3990930 4256992 5188209 5321240 5497440 6385488 6917612 7981860 8647015 10376418 10642480 12770976 13835224 15963720 17294030 20752836 21284960 25941045 27670448 31927440 34588060 41505672 51882090 55340896 63854880 69176120 83011344 103764180 138352240 166022688 207528360 276704480 415056720 830113440
- Sum of all divisors σ(n): 2837866752
- Sum of proper divisors (its aliquot sum) s(n): 2007753312
- 830113440 is an abundant number, because the sum of its proper divisors (2007753312) is greater than itself. Its abundance is 1177639872
Bases of 830113440
- Binary: 1100010111101010000110101000002
- Hexadecimal: 0x317A86A0
- Base-36: DQ87MO
Squares and roots of 830113440
- 830113440 squared (8301134402) is 689088323268633600
- 830113440 cubed (8301134403) is 572021478492357481795584000
-
The
square root of 830113440 is 28811.6892944513 -
The
cube root of 830113440 is 939.8224502445
Scales and comparisons
How big is 830113440?- 830,113,440 seconds is equal to 26 years, 20 weeks, 3 days, 19 hours, 4 minutes.
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To count from 1 to 830,113,440 would take you about thirty-nine 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 830113440 cubic inches would be around 78.3 feet tall.
Recreational maths with 830113440
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