968485440
968,485,440 is an even composite number composed of six prime numbers multiplied together.
968485440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 968485440:
26 × 3 × 5 × 13 × 71 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 71 × 1093)See below for interesting mathematical facts about the number 968485440 from the Numbermatics database.
Names of 968485440
- Cardinal: 968485440 can be written as Nine hundred sixty-eight million, four hundred eighty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 9.6848544 × 108
Factors of 968485440
Divisors of 968485440
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 71 78 80 96 104 120 130 142 156 160 192 195 208 213 240 260 284 312 320 355 390 416 426 480 520 568 624 710 780 832 852 923 960 1040 1065 1093 1136 1248 1420 1560 1704 1846 2080 2130 2186 2272 2496 2769 2840 3120 3279 3408 3692 4160 4260 4372 4544 4615 5465 5538 5680 6240 6558 6816 7384 8520 8744 9230 10930 11076 11360 12480 13116 13632 13845 14209 14768 16395 17040 17488 18460 21860 22152 22720 26232 27690 28418 29536 32790 34080 34976 36920 42627 43720 44304 52464 55380 56836 59072 65580 68160 69952 71045 73840 77603 85254 87440 88608 104928 110760 113672 131160 142090 147680 155206 170508 174880 177216 209856 213135 221520 227344 232809 262320 284180 295360 310412 341016 349760 388015 426270 443040 454688 465618 524640 568360 620824 682032 776030 852540 886080 909376 931236 1008839 1049280 1136720 1164045 1241648 1364064 1552060 1705080 1862472 2017678 2273440 2328090 2483296 2728128 3026517 3104120 3410160 3724944 4035356 4546880 4656180 4966592 5044195 6053034 6208240 6820320 7449888 8070712 9312360 10088390 12106068 12416480 13640640 14899776 15132585 16141424 18624720 20176780 24212136 24832960 30265170 32282848 37249440 40353560 48424272 60530340 64565696 74498880 80707120 96848544 121060680 161414240 193697088 242121360 322828480 484242720 968485440
- Sum of all divisors σ(n): 3361188096
- Sum of proper divisors (its aliquot sum) s(n): 2392702656
- 968485440 is an abundant number, because the sum of its proper divisors (2392702656) is greater than itself. Its abundance is 1424217216
Bases of 968485440
- Binary: 1110011011100111101010010000002
- Hexadecimal: 0x39B9EA40
- Base-36: G0M05C
Squares and roots of 968485440
- 968485440 squared (9684854402) is 937964047491993600
- 968485440 cubed (9684854403) is 908404523239464318173184000
-
The
square root of 968485440 is 31120.4987106569 -
The
cube root of 968485440 is 989.3828211179
Scales and comparisons
How big is 968485440?- 968,485,440 seconds is equal to 30 years, 41 weeks, 2 days, 7 hours, 44 minutes.
-
To count from 1 to 968,485,440 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 968485440 cubic inches would be around 82.4 feet tall.
Recreational maths with 968485440
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