997140672
997,140,672 is an even composite number composed of five prime numbers multiplied together.
997140672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 997140672:
26 × 33 × 112 × 19 × 251
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 19 × 251)See below for interesting mathematical facts about the number 997140672 from the Numbermatics database.
Names of 997140672
- Cardinal: 997140672 can be written as Nine hundred ninety-seven million, one hundred forty thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 9.97140672 × 108
Factors of 997140672
Divisors of 997140672
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 48 54 57 64 66 72 76 88 96 99 108 114 121 132 144 152 171 176 192 198 209 216 228 242 251 264 288 297 304 342 352 363 396 418 432 456 484 502 513 528 576 594 608 627 684 704 726 753 792 836 864 912 968 1004 1026 1056 1089 1188 1216 1254 1368 1452 1506 1584 1672 1728 1824 1881 1936 2008 2052 2112 2178 2259 2299 2376 2508 2736 2761 2904 3012 3168 3267 3344 3648 3762 3872 4016 4104 4356 4518 4598 4752 4769 5016 5472 5522 5643 5808 6024 6336 6534 6688 6777 6897 7524 7744 8032 8208 8283 8712 9036 9196 9504 9538 10032 10944 11044 11286 11616 12048 13068 13376 13554 13794 14307 15048 16064 16416 16566 17424 18072 18392 19008 19076 20064 20691 22088 22572 23232 24096 24849 26136 27108 27588 28614 30096 30371 32832 33132 34848 36144 36784 38152 40128 41382 42921 44176 45144 48192 49698 52272 52459 54216 55176 57228 60192 60742 62073 66264 69696 72288 73568 74547 76304 82764 85842 88352 90288 91113 99396 104544 104918 108432 110352 114456 120384 121484 124146 128763 132528 144576 147136 149094 152608 157377 165528 171684 176704 180576 182226 198792 209088 209836 216864 220704 228912 242968 248292 257526 265056 273339 298188 305216 314754 331056 343368 361152 364452 397584 419672 433728 441408 457824 472131 485936 496584 515052 530112 546678 577049 596376 629508 662112 686736 728904 795168 820017 839344 915648 944262 971872 993168 1030104 1093356 1154098 1192752 1259016 1324224 1373472 1416393 1457808 1590336 1640034 1678688 1731147 1888524 1943744 1986336 2060208 2186712 2308196 2385504 2518032 2746944 2832786 2915616 3280068 3357376 3462294 3777048 3972672 4120416 4373424 4616392 4771008 5036064 5193441 5665572 5831232 6560136 6924588 7554096 8240832 8746848 9232784 10072128 10386882 11331144 13120272 13849176 15108192 15580323 17493696 18465568 20773764 22662288 26240544 27698352 30216384 31160646 36931136 41547528 45324576 52481088 55396704 62321292 83095056 90649152 110793408 124642584 166190112 249285168 332380224 498570336 997140672
- Sum of all divisors σ(n): 3405225600
- Sum of proper divisors (its aliquot sum) s(n): 2408084928
- 997140672 is an abundant number, because the sum of its proper divisors (2408084928) is greater than itself. Its abundance is 1410944256
Bases of 997140672
- Binary: 1110110110111100101000110000002
- Hexadecimal: 0x3B6F28C0
- Base-36: GHO6O0
Squares and roots of 997140672
- 997140672 squared (9971406722) is 994289519756611584
- 997140672 cubed (9971406723) is 991446519892664951312744448
-
The
square root of 997140672 is 31577.5342925947 -
The
cube root of 997140672 is 999.0459808033
Scales and comparisons
How big is 997140672?- 997,140,672 seconds is equal to 31 years, 36 weeks, 4 days, 23 hours, 31 minutes, 12 seconds.
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To count from 1 to 997,140,672 would take you about forty-seven 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 997140672 cubic inches would be around 83.3 feet tall.
Recreational maths with 997140672
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