813042300
813,042,300 is an even composite number composed of seven prime numbers multiplied together.
813042300 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 813042300:
22 × 3 × 52 × 72 × 19 × 41 × 71
(2 × 2 × 3 × 5 × 5 × 7 × 7 × 19 × 41 × 71)See below for interesting mathematical facts about the number 813042300 from the Numbermatics database.
Names of 813042300
- Cardinal: 813042300 can be written as Eight hundred thirteen million, forty-two thousand, three hundred.
Scientific notation
- Scientific notation: 8.130423 × 108
Factors of 813042300
Divisors of 813042300
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 41 42 49 50 57 60 70 71 75 76 82 84 95 98 100 105 114 123 133 140 142 147 150 164 175 190 196 205 210 213 228 245 246 266 284 285 287 294 300 350 355 380 399 410 420 426 475 490 492 497 525 532 570 574 588 615 665 700 710 735 779 798 820 852 861 931 950 980 994 1025 1050 1065 1140 1148 1225 1230 1330 1349 1420 1425 1435 1470 1491 1558 1596 1722 1775 1862 1900 1988 1995 2009 2050 2100 2130 2337 2450 2460 2485 2660 2698 2793 2850 2870 2911 2940 2982 3075 3116 3325 3444 3479 3550 3675 3724 3895 3990 4018 4047 4100 4260 4305 4655 4674 4900 4970 5325 5396 5453 5586 5700 5740 5822 5964 6027 6150 6650 6745 6958 7100 7175 7350 7455 7790 7980 8036 8094 8610 8733 9310 9348 9443 9940 9975 10045 10437 10650 10906 11172 11644 11685 12054 12300 12425 13300 13490 13916 13965 14350 14555 14700 14910 15580 16188 16359 17220 17395 17466 18620 18886 19475 19950 20090 20235 20377 20874 21300 21525 21812 23275 23370 24108 24850 26980 27265 27930 28329 28700 29110 29820 30135 32718 33725 34790 34932 37275 37772 38171 38950 39900 40180 40470 40754 41748 43050 43665 46550 46740 47215 49700 50225 52185 54530 55309 55860 56658 58220 58425 60270 61131 65436 66101 67450 69580 69825 72775 74550 76342 77900 80940 81508 81795 86100 86975 87330 93100 94430 100450 101175 101885 104370 109060 110618 113316 114513 116850 120540 122262 132202 134900 136325 139650 141645 142639 145550 149100 150675 152684 163590 165927 173950 174660 188860 190855 198303 200900 202350 203770 208740 218325 221236 229026 233700 236075 244524 260925 264404 272650 276545 279300 283290 285278 291100 301350 305655 327180 330505 331854 347900 381710 387163 396606 404700 407540 408975 427917 436650 458052 472150 509425 521850 545300 553090 566580 570556 572565 602700 611310 661010 663708 708225 713195 763420 774326 793212 817950 829635 855834 873300 944300 954275 991515 1018850 1043700 1106180 1145130 1161489 1222620 1322020 1382725 1416450 1426390 1528275 1548652 1635900 1652525 1659270 1711668 1908550 1935815 1983030 2037700 2139585 2290260 2322978 2710141 2765450 2832900 2852780 2862825 3056550 3305050 3318540 3565975 3817100 3871630 3966060 4148175 4279170 4645956 4957575 5420282 5530900 5725650 5807445 6113100 6610100 7131950 7743260 8130423 8296350 8558340 9679075 9915150 10697925 10840564 11451300 11614890 13550705 14263900 16260846 16592700 19358150 19830300 21395850 23229780 27101410 29037225 32521692 38716300 40652115 42791700 54202820 58074450 67753525 81304230 116148900 135507050 162608460 203260575 271014100 406521150 813042300
- Sum of all divisors σ(n): 2992308480
- Sum of proper divisors (its aliquot sum) s(n): 2179266180
- 813042300 is an abundant number, because the sum of its proper divisors (2179266180) is greater than itself. Its abundance is 1366223880
Bases of 813042300
- Binary: 1100000111011000001010011111002
- Hexadecimal: 0x30760A7C
- Base-36: DG2BGC
Squares and roots of 813042300
- 813042300 squared (8130423002) is 661037781589290000
- 813042300 cubed (8130423003) is 537451678330253996967000000
-
The
square root of 813042300 is 28513.8966120031 -
The
cube root of 813042300 is 933.3353472179
Scales and comparisons
How big is 813042300?- 813,042,300 seconds is equal to 25 years, 44 weeks, 2 days, 5 hours, 5 minutes.
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To count from 1 to 813,042,300 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 813042300 cubic inches would be around 77.8 feet tall.
Recreational maths with 813042300
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