972919872
972,919,872 is an even composite number composed of five prime numbers multiplied together.
972919872 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 972919872:
26 × 32 × 232 × 31 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 23 × 23 × 31 × 103)See below for interesting mathematical facts about the number 972919872 from the Numbermatics database.
Names of 972919872
- Cardinal: 972919872 can be written as Nine hundred seventy-two million, nine hundred nineteen thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 9.72919872 × 108
Factors of 972919872
Divisors of 972919872
- Number of divisors d(n): 252
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 31 32 36 46 48 62 64 69 72 92 93 96 103 124 138 144 184 186 192 206 207 248 276 279 288 309 368 372 412 414 496 529 552 558 576 618 713 736 744 824 828 927 992 1058 1104 1116 1236 1426 1472 1488 1587 1648 1656 1854 1984 2116 2139 2208 2232 2369 2472 2852 2976 3174 3193 3296 3312 3708 4232 4278 4416 4464 4738 4761 4944 5704 5952 6348 6386 6417 6592 6624 7107 7416 8464 8556 8928 9476 9522 9579 9888 11408 12696 12772 12834 13248 14214 14832 16399 16928 17112 17856 18952 19044 19158 19776 21321 22816 25392 25544 25668 28428 28737 29664 32798 33856 34224 37904 38088 38316 42642 45632 49197 50784 51088 51336 54487 56856 57474 59328 65596 68448 73439 75808 76176 76632 85284 98394 101568 102176 102672 108974 113712 114948 131192 136896 146878 147591 151616 152352 153264 163461 170568 196788 204352 205344 217948 220317 227424 229896 262384 293756 295182 304704 306528 326922 341136 393576 410688 435896 440634 454848 459792 490383 524768 587512 590364 613056 653844 660951 682272 787152 871792 881268 919584 980766 1049536 1175024 1180728 1307688 1321902 1364544 1574304 1689097 1743584 1762536 1839168 1961532 2350048 2361456 2615376 2643804 3148608 3378194 3487168 3525072 3923064 4700096 4722912 5067291 5230752 5287608 6756388 7050144 7846128 9445824 10134582 10461504 10575216 13512776 14100288 15201873 15692256 20269164 21150432 27025552 30403746 31384512 40538328 42300864 54051104 60807492 81076656 108102208 121614984 162153312 243229968 324306624 486459936 972919872
- Sum of all divisors σ(n): 3038473984
- Sum of proper divisors (its aliquot sum) s(n): 2065554112
- 972919872 is an abundant number, because the sum of its proper divisors (2065554112) is greater than itself. Its abundance is 1092634240
Bases of 972919872
- Binary: 1110011111110110010100010000002
- Hexadecimal: 0x39FD9440
- Base-36: G391S0
Squares and roots of 972919872
- 972919872 squared (9729198722) is 946573077332496384
- 972919872 cubed (9729198723) is 920939757236978483361742848
-
The
square root of 972919872 is 31191.6635016473 -
The
cube root of 972919872 is 990.8905607561
Scales and comparisons
How big is 972919872?- 972,919,872 seconds is equal to 30 years, 48 weeks, 4 days, 15 hours, 31 minutes, 12 seconds.
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To count from 1 to 972,919,872 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 972919872 cubic inches would be around 82.6 feet tall.
Recreational maths with 972919872
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The information we have on file for 972919872 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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