972468990
972,468,990 is an even composite number composed of five prime numbers multiplied together.
972468990 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 972468990:
2 × 35 × 5 × 157 × 2549
(2 × 3 × 3 × 3 × 3 × 3 × 5 × 157 × 2549)See below for interesting mathematical facts about the number 972468990 from the Numbermatics database.
Names of 972468990
- Cardinal: 972468990 can be written as Nine hundred seventy-two million, four hundred sixty-eight thousand, nine hundred ninety.
Scientific notation
- Scientific notation: 9.7246899 × 108
Factors of 972468990
Divisors of 972468990
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 157 162 243 270 314 405 471 486 785 810 942 1215 1413 1570 2355 2430 2549 2826 4239 4710 5098 7065 7647 8478 12717 12745 14130 15294 21195 22941 25434 25490 38151 38235 42390 45882 63585 68823 76302 76470 114705 127170 137646 190755 206469 229410 344115 381510 400193 412938 619407 688230 800386 1032345 1200579 1238814 2000965 2064690 2401158 3097035 3601737 4001930 6002895 6194070 7203474 10805211 12005790 18008685 21610422 32415633 36017370 54026055 64831266 97246899 108052110 162078165 194493798 324156330 486234495 972468990
- Sum of all divisors σ(n): 2639800800
- Sum of proper divisors (its aliquot sum) s(n): 1667331810
- 972468990 is an abundant number, because the sum of its proper divisors (1667331810) is greater than itself. Its abundance is 694862820
Bases of 972468990
- Binary: 1110011111011010110010111111102
- Hexadecimal: 0x39F6B2FE
- Base-36: G2ZDVI
Squares and roots of 972468990
- 972468990 squared (9724689902) is 945695936511620100
- 972468990 cubed (9724689903) is 919659972226559321910699000
-
The
square root of 972468990 is 31184.4350598179 -
The
cube root of 972468990 is 990.7374670413
Scales and comparisons
How big is 972468990?- 972,468,990 seconds is equal to 30 years, 47 weeks, 6 days, 10 hours, 16 minutes, 30 seconds.
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To count from 1 to 972,468,990 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 972468990 cubic inches would be around 82.6 feet tall.
Recreational maths with 972468990
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