812829920
812,829,920 is an even composite number composed of six prime numbers multiplied together.
812829920 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 812829920:
25 × 5 × 7 × 31 × 41 × 571
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 31 × 41 × 571)See below for interesting mathematical facts about the number 812829920 from the Numbermatics database.
Names of 812829920
- Cardinal: 812829920 can be written as Eight hundred twelve million, eight hundred twenty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 8.1282992 × 108
Factors of 812829920
Divisors of 812829920
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 41 56 62 70 80 82 112 124 140 155 160 164 205 217 224 248 280 287 310 328 410 434 496 560 571 574 620 656 820 868 992 1085 1120 1142 1148 1240 1271 1312 1435 1640 1736 2170 2284 2296 2480 2542 2855 2870 3280 3472 3997 4340 4568 4592 4960 5084 5710 5740 6355 6560 6944 7994 8680 8897 9136 9184 10168 11420 11480 12710 15988 17360 17701 17794 18272 19985 20336 22840 22960 23411 25420 31976 34720 35402 35588 39970 40672 44485 45680 45920 46822 50840 63952 70804 71176 79940 88505 88970 91360 93644 101680 117055 123907 127904 141608 142352 159880 163877 177010 177940 187288 203360 234110 247814 283216 284704 319760 327754 354020 355880 374576 468220 495628 566432 619535 639520 655508 708040 711760 725741 749152 819385 936440 991256 1239070 1311016 1416080 1423520 1451482 1638770 1872880 1982512 2478140 2622032 2832160 2902964 3277540 3628705 3745760 3965024 4956280 5080187 5244064 5805928 6555080 7257410 9912560 10160374 11611856 13110160 14514820 19825120 20320748 23223712 25400935 26220320 29029640 40641496 50801870 58059280 81282992 101603740 116118560 162565984 203207480 406414960 812829920
- Sum of all divisors σ(n): 2324754432
- Sum of proper divisors (its aliquot sum) s(n): 1511924512
- 812829920 is an abundant number, because the sum of its proper divisors (1511924512) is greater than itself. Its abundance is 699094592
Bases of 812829920
- Binary: 1100000111001011001100111000002
- Hexadecimal: 0x3072CCE0
- Base-36: DFXRKW
Squares and roots of 812829920
- 812829920 squared (8128299202) is 660692478847206400
- 812829920 cubed (8128299203) is 537030614725976470335488000
-
The
square root of 812829920 is 28510.1722197537 -
The
cube root of 812829920 is 933.2540726341
Scales and comparisons
How big is 812829920?- 812,829,920 seconds is equal to 25 years, 43 weeks, 6 days, 18 hours, 5 minutes, 20 seconds.
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To count from 1 to 812,829,920 would take you about thirty-eight 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 812829920 cubic inches would be around 77.8 feet tall.
Recreational maths with 812829920
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