968130240
968,130,240 is an even composite number composed of six prime numbers multiplied together.
968130240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 968130240:
26 × 3 × 5 × 72 × 11 × 1871
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 11 × 1871)See below for interesting mathematical facts about the number 968130240 from the Numbermatics database.
Names of 968130240
- Cardinal: 968130240 can be written as Nine hundred sixty-eight million, one hundred thirty thousand, two hundred forty.
Scientific notation
- Scientific notation: 9.6813024 × 108
Factors of 968130240
Divisors of 968130240
- Number of divisors d(n): 336
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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 32 33 35 40 42 44 48 49 55 56 60 64 66 70 77 80 84 88 96 98 105 110 112 120 132 140 147 154 160 165 168 176 192 196 210 220 224 231 240 245 264 280 294 308 320 330 336 352 385 392 420 440 448 462 480 490 528 539 560 588 616 660 672 704 735 770 784 840 880 924 960 980 1056 1078 1120 1155 1176 1232 1320 1344 1470 1540 1568 1617 1680 1760 1848 1871 1960 2112 2156 2240 2310 2352 2464 2640 2695 2940 3080 3136 3234 3360 3520 3696 3742 3920 4312 4620 4704 4928 5280 5390 5613 5880 6160 6468 6720 7392 7484 7840 8085 8624 9240 9355 9408 10560 10780 11226 11760 12320 12936 13097 14784 14968 15680 16170 17248 18480 18710 20581 21560 22452 23520 24640 25872 26194 28065 29936 32340 34496 36960 37420 39291 41162 43120 44904 47040 51744 52388 56130 59872 61743 64680 65485 73920 74840 78582 82324 86240 89808 91679 102905 103488 104776 112260 119744 123486 129360 130970 144067 149680 157164 164648 172480 179616 183358 196455 205810 209552 224520 246972 258720 261940 275037 288134 299360 308715 314328 329296 359232 366716 392910 411620 419104 432201 449040 458395 493944 517440 523880 550074 576268 598720 617430 628656 658592 720335 733432 785820 823240 838208 864402 898080 916790 987888 1008469 1047760 1100148 1152536 1234860 1257312 1317184 1375185 1440670 1466864 1571640 1646480 1728804 1796160 1833580 1975776 2016938 2095520 2161005 2200296 2305072 2469720 2514624 2750370 2881340 2933728 3025407 3143280 3292960 3457608 3667160 3951552 4033876 4191040 4322010 4400592 4610144 4939440 5042345 5500740 5762680 5867456 6050814 6286560 6585920 6915216 7334320 8067752 8644020 8801184 9220288 9878880 10084690 11001480 11525360 12101628 12573120 13830432 14668640 15127035 16135504 17288040 17602368 19757760 20169380 22002960 23050720 24203256 27660864 29337280 30254070 32271008 34576080 40338760 44005920 46101440 48406512 60508140 64542016 69152160 80677520 88011840 96813024 121016280 138304320 161355040 193626048 242032560 322710080 484065120 968130240
- Sum of all divisors σ(n): 3902805504
- Sum of proper divisors (its aliquot sum) s(n): 2934675264
- 968130240 is an abundant number, because the sum of its proper divisors (2934675264) is greater than itself. Its abundance is 1966545024
Bases of 968130240
- Binary: 1110011011010001111110110000002
- Hexadecimal: 0x39B47EC0
- Base-36: G0EE2O
Squares and roots of 968130240
- 968130240 squared (9681302402) is 937276161602457600
- 968130240 cubed (9681302403) is 907405395278466060877824000
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The
square root of 968130240 is 31114.7913378831 -
The
cube root of 968130240 is 989.2618515657
Scales and comparisons
How big is 968130240?- 968,130,240 seconds is equal to 30 years, 40 weeks, 5 days, 5 hours, 4 minutes.
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To count from 1 to 968,130,240 would take you about forty-six 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 968130240 cubic inches would be around 82.4 feet tall.
Recreational maths with 968130240
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