968264400
968,264,400 is an even composite number composed of five prime numbers multiplied together.
968264400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 968264400:
24 × 3 × 52 × 107 × 7541
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 107 × 7541)See below for interesting mathematical facts about the number 968264400 from the Numbermatics database.
Names of 968264400
- Cardinal: 968264400 can be written as Nine hundred sixty-eight million, two hundred sixty-four thousand, four hundred.
Scientific notation
- Scientific notation: 9.682644 × 108
Factors of 968264400
Divisors of 968264400
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 107 120 150 200 214 240 300 321 400 428 535 600 642 856 1070 1200 1284 1605 1712 2140 2568 2675 3210 4280 5136 5350 6420 7541 8025 8560 10700 12840 15082 16050 21400 22623 25680 30164 32100 37705 42800 45246 60328 64200 75410 90492 113115 120656 128400 150820 180984 188525 226230 301640 361968 377050 452460 565575 603280 754100 806887 904920 1131150 1508200 1613774 1809840 2262300 2420661 3016400 3227548 4034435 4524600 4841322 6455096 8068870 9049200 9682644 12103305 12910192 16137740 19365288 20172175 24206610 32275480 38730576 40344350 48413220 60516525 64550960 80688700 96826440 121033050 161377400 193652880 242066100 322754800 484132200 968264400
- Sum of all divisors σ(n): 3131076384
- Sum of proper divisors (its aliquot sum) s(n): 2162811984
- 968264400 is an abundant number, because the sum of its proper divisors (2162811984) is greater than itself. Its abundance is 1194547584
Bases of 968264400
- Binary: 1110011011011010001010110100002
- Hexadecimal: 0x39B68AD0
- Base-36: G0H9LC
Squares and roots of 968264400
- 968264400 squared (9682644002) is 937535948307360000
- 968264400 cubed (9682644003) is 907782682466256945984000000
-
The
square root of 968264400 is 31116.9471510301 -
The
cube root of 968264400 is 989.3075455693
Scales and comparisons
How big is 968264400?- 968,264,400 seconds is equal to 30 years, 40 weeks, 6 days, 18 hours, 20 minutes.
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To count from 1 to 968,264,400 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 968264400 cubic inches would be around 82.4 feet tall.
Recreational maths with 968264400
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