972104448
972,104,448 is an even composite number composed of six prime numbers multiplied together.
972104448 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 972104448:
28 × 3 × 7 × 19 × 31 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 19 × 31 × 307)See below for interesting mathematical facts about the number 972104448 from the Numbermatics database.
Names of 972104448
- Cardinal: 972104448 can be written as Nine hundred seventy-two million, one hundred four thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 9.72104448 × 108
Factors of 972104448
Divisors of 972104448
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 32 38 42 48 56 57 62 64 76 84 93 96 112 114 124 128 133 152 168 186 192 217 224 228 248 256 266 304 307 336 372 384 399 434 448 456 496 532 589 608 614 651 672 744 768 798 868 896 912 921 992 1064 1178 1216 1228 1302 1344 1488 1596 1736 1767 1792 1824 1842 1984 2128 2149 2356 2432 2456 2604 2688 2976 3192 3472 3534 3648 3684 3968 4123 4256 4298 4712 4864 4912 5208 5376 5833 5952 6384 6447 6944 7068 7296 7368 7936 8246 8512 8596 9424 9517 9824 10416 11666 11904 12369 12768 12894 13888 14136 14592 14736 16492 17024 17192 17499 18848 19034 19648 20832 23332 23808 24738 25536 25788 27776 28272 28551 29472 32984 34048 34384 34998 37696 38068 39296 40831 41664 46664 49476 51072 51576 55552 56544 57102 58944 65968 66619 68768 69996 75392 76136 78592 81662 83328 93328 98952 102144 103152 113088 114204 117888 122493 131936 133238 137536 139992 150784 152272 163324 166656 180823 186656 197904 199857 206304 226176 228408 235776 244986 263872 266476 275072 279984 304544 326648 361646 373312 395808 399714 412608 452352 456816 489972 527744 532952 542469 550144 559968 609088 653296 723292 746624 791616 799428 825216 913632 979944 1055488 1065904 1084938 1119936 1218176 1265761 1306592 1446584 1493248 1583232 1598856 1650432 1827264 1959888 2131808 2169876 2239872 2436352 2531522 2613184 2893168 3166464 3197712 3654528 3797283 3919776 4263616 4339752 4479744 5063044 5226368 5786336 6395424 7309056 7594566 7839552 8527232 8679504 10126088 10452736 11572672 12790848 15189132 15679104 17054464 17359008 20252176 23145344 25581696 30378264 31358208 34718016 40504352 46290688 51163392 60756528 69436032 81008704 121513056 138872064 162017408 243026112 324034816 486052224 972104448
- Sum of all divisors σ(n): 3223306240
- Sum of proper divisors (its aliquot sum) s(n): 2251201792
- 972104448 is an abundant number, because the sum of its proper divisors (2251201792) is greater than itself. Its abundance is 1279097344
Bases of 972104448
- Binary: 1110011111000100100011000000002
- Hexadecimal: 0x39F12300
- Base-36: G2RKLC
Squares and roots of 972104448
- 972104448 squared (9721044482) is 944987057821384704
- 972104448 cubed (9721044483) is 918626122210601260277563392
-
The
square root of 972104448 is 31178.5895768233 -
The
cube root of 972104448 is 990.6136548479
Scales and comparisons
How big is 972104448?- 972,104,448 seconds is equal to 30 years, 47 weeks, 2 days, 5 hours, 48 seconds.
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To count from 1 to 972,104,448 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 972104448 cubic inches would be around 82.6 feet tall.
Recreational maths with 972104448
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