10468716720
10,468,716,720 is an even composite number composed of six prime numbers multiplied together.
10468716720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 10468716720:
24 × 3 × 5 × 73 × 112 × 1051
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 11 × 11 × 1051)See below for interesting mathematical facts about the number 10468716720 from the Numbermatics database.
Names of 10468716720
- Cardinal: 10468716720 can be written as Ten billion, four hundred sixty-eight million, seven hundred sixteen thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.046871672 × 1010
Factors of 10468716720
Divisors of 10468716720
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 49 55 56 60 66 70 77 80 84 88 98 105 110 112 120 121 132 140 147 154 165 168 176 196 210 220 231 240 242 245 264 280 294 308 330 336 343 363 385 392 420 440 462 484 490 528 539 560 588 605 616 660 686 726 735 770 784 840 847 880 924 968 980 1029 1051 1078 1155 1176 1210 1232 1320 1372 1452 1470 1540 1617 1680 1694 1715 1815 1848 1936 1960 2058 2102 2156 2310 2352 2420 2541 2640 2695 2744 2904 2940 3080 3153 3234 3388 3430 3630 3696 3773 3920 4116 4204 4235 4312 4620 4840 5082 5145 5255 5390 5488 5808 5880 5929 6160 6306 6468 6776 6860 7260 7357 7546 8085 8232 8408 8470 8624 9240 9680 10164 10290 10510 10780 11319 11561 11760 11858 12612 12705 12936 13552 13720 14520 14714 15092 15765 16170 16464 16816 16940 17787 18480 18865 20328 20580 21020 21560 22071 22638 23122 23716 25224 25410 25872 27440 29040 29428 29645 30184 31530 32340 33880 34683 35574 36785 37730 40656 41160 41503 42040 43120 44142 45276 46244 47432 50448 50820 51499 56595 57805 58856 59290 60368 63060 64680 67760 69366 71148 73570 75460 80927 82320 83006 84080 88284 88935 90552 92488 94864 101640 102998 110355 113190 115610 117712 118580 124509 126120 127171 129360 138732 142296 147140 150920 154497 161854 166012 173415 176568 177870 181104 184976 203280 205996 207515 220710 226380 231220 237160 242781 249018 252240 254342 257495 277464 284592 294280 301840 308994 323708 332024 346830 353136 355740 360493 381513 404635 411992 415030 441420 452760 462440 474320 485562 498036 508684 514990 554928 566489 588560 617988 622545 635855 647416 664048 693660 711480 720986 763026 772485 809270 823984 830060 882840 890197 905520 924880 971124 996072 1017368 1029980 1081479 1132978 1213905 1235976 1245090 1271710 1294832 1387320 1422960 1441972 1526052 1544970 1618540 1660120 1699467 1765680 1780394 1802465 1907565 1942248 1992144 2034736 2059960 2162958 2265956 2427810 2471952 2490180 2543420 2670591 2774640 2832445 2883944 3052104 3089940 3237080 3320240 3398934 3560788 3604930 3815130 3884496 3965423 4119920 4325916 4450985 4531912 4855620 4980360 5086840 5341182 5407395 5664890 5767888 6104208 6179880 6231379 6474160 6797868 7121576 7209860 7630260 7930846 8497335 8651832 8901970 9063824 9711240 9960720 10173680 10682364 10814790 11329780 11896269 12359760 12462758 13352955 13595736 14243152 14419720 15260520 15861692 16994670 17303664 17803940 18694137 19422480 19827115 21364728 21629580 22659560 23792538 24925516 26705910 27191472 28839440 30521040 31156895 31723384 33989340 35607880 37388274 39654230 42729456 43259160 43619653 45319120 47585076 49851032 53411820 59481345 62313790 63446768 67978680 71215760 74776548 79308460 86518320 87239306 93470685 95170152 99702064 106823640 118962690 124627580 130858959 135957360 149553096 158616920 174478612 186941370 190340304 213647280 218098265 237925380 249255160 261717918 299106192 317233840 348957224 373882740 436196530 475850760 498510320 523435836 654294795 697914448 747765480 872393060 951701520 1046871672 1308589590 1495530960 1744786120 2093743344 2617179180 3489572240 5234358360 10468716720
- Sum of all divisors σ(n): 41639001600
- Sum of proper divisors (its aliquot sum) s(n): 31170284880
- 10468716720 is an abundant number, because the sum of its proper divisors (31170284880) is greater than itself. Its abundance is 20701568160
Bases of 10468716720
- Binary: 10011011111111101111110000101100002
- Hexadecimal: 0x26FFBF0B0
- Base-36: 4T4SXIO
Squares and roots of 10468716720
- 10468716720 squared (104687167202) is 109594029763607558400
- 10468716720 cubed (104687167203) is 1147308851798456094140456448000
-
The
square root of 10468716720 is 102316.7470163121 -
The
cube root of 10468716720 is 2187.5827126059
Scales and comparisons
How big is 10468716720?- 10,468,716,720 seconds is equal to 332 years, 45 weeks, 2 days, 16 hours, 52 minutes.
-
To count from 1 to 10,468,716,720 would take you about six hundred sixty-five 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 10468716720 cubic inches would be around 182.3 feet tall.
Recreational maths with 10468716720
- 10468716720 backwards is 02761786401
- 10468716720 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 10468716720's digits is 42
- More coming soon!
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