814930480
814,930,480 is an even composite number composed of seven prime numbers multiplied together.
814930480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 814930480:
24 × 5 × 7 × 13 × 23 × 31 × 157
(2 × 2 × 2 × 2 × 5 × 7 × 13 × 23 × 31 × 157)See below for interesting mathematical facts about the number 814930480 from the Numbermatics database.
Names of 814930480
- Cardinal: 814930480 can be written as Eight hundred fourteen million, nine hundred thirty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 8.1493048 × 108
Factors of 814930480
Divisors of 814930480
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 23 26 28 31 35 40 46 52 56 62 65 70 80 91 92 104 112 115 124 130 140 155 157 161 182 184 208 217 230 248 260 280 299 310 314 322 364 368 403 434 455 460 496 520 560 598 620 628 644 713 728 785 805 806 868 910 920 1040 1085 1099 1196 1240 1256 1288 1426 1456 1495 1570 1610 1612 1736 1820 1840 2015 2041 2093 2170 2198 2392 2480 2512 2576 2821 2852 2990 3140 3220 3224 3472 3565 3611 3640 4030 4082 4186 4340 4396 4784 4867 4991 5495 5642 5704 5980 6280 6440 6448 7130 7222 7280 8060 8164 8372 8680 8792 9269 9734 9982 10205 10465 10990 11284 11408 11960 12560 12880 14105 14260 14287 14444 16120 16328 16744 17360 17584 18055 18538 19468 19964 20410 20930 21980 22568 23920 24335 24955 25277 28210 28520 28574 28888 32240 32656 33488 34069 36110 37076 38936 39928 40820 41860 43960 45136 46345 46943 48670 49910 50554 56420 57040 57148 57776 63271 64883 68138 71435 72220 74152 77872 79856 81640 83720 87920 92690 93886 97340 99820 101108 111941 112840 114296 126385 126542 129766 136276 142870 144440 148304 163280 167440 170345 185380 187772 194680 199640 202216 223882 225680 228592 234715 252770 253084 259532 272552 285740 288880 316355 324415 328601 340690 370760 375544 389360 399280 404432 442897 447764 469430 505540 506168 519064 545104 559705 571480 632710 648830 657202 681380 741520 751088 783587 885794 895528 938860 1011080 1012336 1038128 1119410 1142960 1265420 1297660 1314404 1362760 1455233 1567174 1643005 1771588 1791056 1877720 2022160 2214485 2238820 2530840 2595320 2628808 2725520 2910466 3134348 3286010 3543176 3755440 3917935 4428970 4477640 5061680 5190640 5257616 5820932 6268696 6572020 7086352 7276165 7835870 8857940 8955280 10186631 11641864 12537392 13144040 14552330 15671740 17715880 20373262 23283728 26288080 29104660 31343480 35431760 40746524 50933155 58209320 62686960 81493048 101866310 116418640 162986096 203732620 407465240 814930480
- Sum of all divisors σ(n): 2527838208
- Sum of proper divisors (its aliquot sum) s(n): 1712907728
- 814930480 is an abundant number, because the sum of its proper divisors (1712907728) is greater than itself. Its abundance is 897977248
Bases of 814930480
- Binary: 1100001001001011011010001100002
- Hexadecimal: 0x3092DA30
- Base-36: DH6SDS
Squares and roots of 814930480
- 814930480 squared (8149304802) is 664111687233030400
- 814930480 cubed (8149304803) is 541204856050423335726592000
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The
square root of 814930480 is 28546.9872315801 -
The
cube root of 814930480 is 934.0573033635
Scales and comparisons
How big is 814930480?- 814,930,480 seconds is equal to 25 years, 47 weeks, 3 days, 1 hour, 34 minutes, 40 seconds.
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To count from 1 to 814,930,480 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 814930480 cubic inches would be around 77.8 feet tall.
Recreational maths with 814930480
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