972417952
972,417,952 is an even composite number composed of four prime numbers multiplied together.
972417952 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 972417952:
25 × 113 × 172 × 79
(2 × 2 × 2 × 2 × 2 × 11 × 11 × 11 × 17 × 17 × 79)See below for interesting mathematical facts about the number 972417952 from the Numbermatics database.
Names of 972417952
- Cardinal: 972417952 can be written as Nine hundred seventy-two million, four hundred seventeen thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 9.72417952 × 108
Factors of 972417952
Divisors of 972417952
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 8 11 16 17 22 32 34 44 68 79 88 121 136 158 176 187 242 272 289 316 352 374 484 544 578 632 748 869 968 1156 1264 1331 1343 1496 1738 1936 2057 2312 2528 2662 2686 2992 3179 3476 3872 4114 4624 5324 5372 5984 6358 6952 8228 9248 9559 10648 10744 12716 13904 14773 16456 19118 21296 21488 22627 22831 25432 27808 29546 32912 34969 38236 42592 42976 45254 45662 50864 59092 65824 69938 76472 90508 91324 101728 105149 118184 139876 152944 162503 181016 182648 210298 236368 251141 279752 305888 325006 362032 365296 384659 420596 472736 502282 559504 650012 724064 730592 769318 841192 1004564 1119008 1300024 1538636 1682384 1787533 2009128 2600048 2762551 3077272 3364768 3575066 4018256 5200096 5525102 6154544 7150132 8036512 11050204 12309088 14300264 22100408 28600528 30388061 44200816 57201056 60776122 88401632 121552244 243104488 486208976 972417952
- Sum of all divisors σ(n): 2265217920
- Sum of proper divisors (its aliquot sum) s(n): 1292799968
- 972417952 is an abundant number, because the sum of its proper divisors (1292799968) is greater than itself. Its abundance is 320382016
Bases of 972417952
- Binary: 1110011111010111101011101000002
- Hexadecimal: 0x39F5EBA0
- Base-36: G2YAHS
Squares and roots of 972417952
- 972417952 squared (9724179522) is 945596673371874304
- 972417952 cubed (9724179523) is 919515180538290945097105408
-
The
square root of 972417952 is 31183.6167241711 -
The
cube root of 972417952 is 990.7201344773
Scales and comparisons
How big is 972417952?- 972,417,952 seconds is equal to 30 years, 47 weeks, 5 days, 20 hours, 5 minutes, 52 seconds.
-
To count from 1 to 972,417,952 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 972417952 cubic inches would be around 82.6 feet tall.
Recreational maths with 972417952
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