972996948
972,996,948 is an even composite number composed of six prime numbers multiplied together.
972996948 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 972996948:
22 × 34 × 7 × 11 × 43 × 907
(2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 43 × 907)See below for interesting mathematical facts about the number 972996948 from the Numbermatics database.
Names of 972996948
- Cardinal: 972996948 can be written as Nine hundred seventy-two million, nine hundred ninety-six thousand, nine hundred forty-eight.
Scientific notation
- Scientific notation: 9.72996948 × 108
Factors of 972996948
Divisors of 972996948
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 43 44 54 63 66 77 81 84 86 99 108 126 129 132 154 162 172 189 198 231 252 258 297 301 308 324 378 387 396 462 473 516 567 594 602 693 756 774 891 903 907 924 946 1134 1161 1188 1204 1386 1419 1548 1782 1806 1814 1892 2079 2268 2322 2709 2721 2772 2838 3311 3483 3564 3612 3628 4158 4257 4644 5418 5442 5676 6237 6349 6622 6966 8127 8163 8316 8514 9933 9977 10836 10884 12474 12698 12771 13244 13932 16254 16326 17028 19047 19866 19954 24381 24489 24948 25396 25542 29799 29931 32508 32652 38094 38313 39001 39732 39908 48762 48978 51084 57141 59598 59862 69839 73467 76188 76626 78002 89397 89793 97524 97956 114282 117003 119196 119724 139678 146934 153252 156004 171423 178794 179586 209517 228564 234006 268191 269379 273007 279356 293868 342846 351009 357588 359172 419034 429011 468012 514269 536382 538758 546014 628551 685692 702018 808137 819021 838068 858022 1028538 1053027 1072764 1077516 1092028 1257102 1287033 1404036 1616274 1638042 1716044 1885653 2057076 2106054 2457063 2514204 2574066 3003077 3159081 3232548 3276084 3771306 3861099 4212108 4914126 5148132 5656959 6006154 6318162 7371189 7542612 7722198 9009231 9828252 11313918 11583297 12012308 12636324 14742378 15444396 18018462 22113567 22627836 23166594 27027693 29484756 34749891 36036924 44227134 46333188 54055386 69499782 81083079 88454268 108110772 138999564 162166158 243249237 324332316 486498474 972996948
- Sum of all divisors σ(n): 3248577024
- Sum of proper divisors (its aliquot sum) s(n): 2275580076
- 972996948 is an abundant number, because the sum of its proper divisors (2275580076) is greater than itself. Its abundance is 1302583128
Bases of 972996948
- Binary: 1110011111111011000001010101002
- Hexadecimal: 0x39FEC154
- Base-36: G3AP90
Squares and roots of 972996948
- 972996948 squared (9729969482) is 946723060817314704
- 972996948 cubed (9729969483) is 921158648776465592547523392
-
The
square root of 972996948 is 31192.8989996121 -
The
cube root of 972996948 is 990.9167266193
Scales and comparisons
How big is 972996948?- 972,996,948 seconds is equal to 30 years, 48 weeks, 5 days, 12 hours, 55 minutes, 48 seconds.
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To count from 1 to 972,996,948 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 972996948 cubic inches would be around 82.6 feet tall.
Recreational maths with 972996948
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