830312640
830,312,640 is an even composite number composed of five prime numbers multiplied together.
830312640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 830312640:
26 × 33 × 5 × 17 × 5653
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 5653)See below for interesting mathematical facts about the number 830312640 from the Numbermatics database.
Names of 830312640
- Cardinal: 830312640 can be written as Eight hundred thirty million, three hundred twelve thousand, six hundred forty.
Scientific notation
- Scientific notation: 8.3031264 × 108
Factors of 830312640
Divisors of 830312640
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 80 85 90 96 102 108 120 135 136 144 153 160 170 180 192 204 216 240 255 270 272 288 306 320 340 360 408 432 459 480 510 540 544 576 612 680 720 765 816 864 918 960 1020 1080 1088 1224 1360 1440 1530 1632 1728 1836 2040 2160 2295 2448 2720 2880 3060 3264 3672 4080 4320 4590 4896 5440 5653 6120 7344 8160 8640 9180 9792 11306 12240 14688 16320 16959 18360 22612 24480 28265 29376 33918 36720 45224 48960 50877 56530 67836 73440 84795 90448 96101 101754 113060 135672 146880 152631 169590 180896 192202 203508 226120 254385 271344 288303 305262 339180 361792 384404 407016 452240 480505 508770 542688 576606 610524 678360 763155 768808 814032 864909 904480 961010 1017540 1085376 1153212 1221048 1356720 1441515 1526310 1537616 1628064 1729818 1808960 1922020 2035080 2306424 2442096 2594727 2713440 2883030 3052620 3075232 3256128 3459636 3844040 4070160 4324545 4612848 4884192 5189454 5426880 5766060 6105240 6150464 6919272 7688080 8140320 8649090 9225696 9768384 10378908 11532120 12210480 12973635 13838544 15376160 16280640 17298180 18451392 20757816 23064240 24420960 25947270 27677088 30752320 34596360 41515632 46128480 48841920 51894540 55354176 69192720 83031264 92256960 103789080 138385440 166062528 207578160 276770880 415156320 830312640
- Sum of all divisors σ(n): 3102010560
- Sum of proper divisors (its aliquot sum) s(n): 2271697920
- 830312640 is an abundant number, because the sum of its proper divisors (2271697920) is greater than itself. Its abundance is 1441385280
Bases of 830312640
- Binary: 1100010111110110010000110000002
- Hexadecimal: 0x317D90C0
- Base-36: DQCHC0
Squares and roots of 830312640
- 830312640 squared (8303126402) is 689419080143769600
- 830312640 cubed (8303126403) is 572433376500544916127744000
-
The
square root of 830312640 is 28815.1460173291 -
The
cube root of 830312640 is 939.8976197535
Scales and comparisons
How big is 830312640?- 830,312,640 seconds is equal to 26 years, 20 weeks, 6 days, 2 hours, 24 minutes.
-
To count from 1 to 830,312,640 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 830312640 cubic inches would be around 78.3 feet tall.
Recreational maths with 830312640
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