830729640
830,729,640 is an even composite number composed of six prime numbers multiplied together.
830729640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 830729640:
23 × 3 × 5 × 133 × 23 × 137
(2 × 2 × 2 × 3 × 5 × 13 × 13 × 13 × 23 × 137)See below for interesting mathematical facts about the number 830729640 from the Numbermatics database.
Names of 830729640
- Cardinal: 830729640 can be written as Eight hundred thirty million, seven hundred twenty-nine thousand, six hundred forty.
Scientific notation
- Scientific notation: 8.3072964 × 108
Factors of 830729640
Divisors of 830729640
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 137 138 156 169 184 195 230 260 274 276 299 312 338 345 390 411 460 507 520 548 552 598 676 685 690 780 822 845 897 920 1014 1096 1196 1352 1370 1380 1495 1560 1644 1690 1781 1794 2028 2055 2197 2392 2535 2740 2760 2990 3151 3288 3380 3562 3588 3887 4056 4110 4394 4485 5070 5343 5480 5980 6302 6591 6760 7124 7176 7774 8220 8788 8905 8970 9453 10140 10686 10985 11661 11960 12604 13182 14248 15548 15755 16440 17576 17810 17940 18906 19435 20280 21372 21970 23153 23322 25208 26364 26715 31096 31510 32955 35620 35880 37812 38870 40963 42744 43940 46306 46644 47265 50531 52728 53430 58305 63020 65910 69459 71240 75624 77740 81926 87880 92612 93288 94530 101062 106860 115765 116610 122889 126040 131820 138918 151593 155480 163852 185224 189060 202124 204815 213720 231530 233220 245778 252655 263640 277836 300989 303186 327704 347295 378120 404248 409630 463060 466440 491556 505310 532519 555672 601978 606372 614445 694590 757965 819260 902967 926120 983112 1010620 1065038 1203956 1212744 1228890 1389180 1504945 1515930 1597557 1638520 1805934 2021240 2130076 2407912 2457780 2662595 2778360 3009890 3031860 3195114 3611868 4260152 4514835 4915560 5325190 6019780 6063720 6390228 6922747 7223736 7987785 9029670 10650380 12039560 12780456 13845494 15975570 18059340 20768241 21300760 27690988 31951140 34613735 36118680 41536482 55381976 63902280 69227470 83072964 103841205 138454940 166145928 207682410 276909880 415364820 830729640
- Sum of all divisors σ(n): 2837721600
- Sum of proper divisors (its aliquot sum) s(n): 2006991960
- 830729640 is an abundant number, because the sum of its proper divisors (2006991960) is greater than itself. Its abundance is 1176262320
Bases of 830729640
- Binary: 1100011000001111101101101010002
- Hexadecimal: 0x3183EDA8
- Base-36: DQLF3C
Squares and roots of 830729640
- 830729640 squared (8307296402) is 690111734774529600
- 830729640 cubed (8307296403) is 573296272989020455777344000
-
The
square root of 830729640 is 28822.3808870815 -
The
cube root of 830729640 is 940.0549386933
Scales and comparisons
How big is 830729640?- 830,729,640 seconds is equal to 26 years, 21 weeks, 3 days, 22 hours, 14 minutes.
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To count from 1 to 830,729,640 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 830729640 cubic inches would be around 78.3 feet tall.
Recreational maths with 830729640
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