972048090
972,048,090 is an even composite number composed of eight prime numbers multiplied together.
972048090 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 972048090:
2 × 3 × 5 × 13 × 31 × 37 × 41 × 53
See below for interesting mathematical facts about the number 972048090 from the Numbermatics database.
Names of 972048090
- Cardinal: 972048090 can be written as Nine hundred seventy-two million, forty-eight thousand and ninety.
Scientific notation
- Scientific notation: 9.7204809 × 108
Factors of 972048090
Divisors of 972048090
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 5 6 10 13 15 26 30 31 37 39 41 53 62 65 74 78 82 93 106 111 123 130 155 159 185 186 195 205 222 246 265 310 318 370 390 403 410 465 481 530 533 555 615 689 795 806 930 962 1066 1110 1147 1209 1230 1271 1378 1443 1517 1590 1599 1643 1961 2015 2067 2173 2294 2405 2418 2542 2665 2886 3034 3198 3286 3441 3445 3813 3922 4030 4134 4346 4551 4810 4929 5330 5735 5883 6045 6355 6519 6882 6890 7215 7585 7626 7995 8215 9102 9805 9858 10335 10865 11470 11766 12090 12710 13038 14430 14911 15170 15990 16430 16523 17205 19065 19610 19721 20670 21359 21730 22755 24645 25493 28249 29415 29822 32595 33046 34410 38130 39442 42718 44733 45510 47027 49290 49569 50986 56498 58830 59163 60791 64077 65190 67363 74555 76479 80401 82615 84747 89466 94054 98605 99138 106795 118326 121582 127465 128154 134726 141081 141245 149110 152958 160802 165230 169494 182373 197210 202089 213590 223665 235135 241203 247845 254930 282162 282490 295815 303955 320385 336815 364746 382395 402005 404178 423735 447330 470270 482406 495690 591630 607910 611351 640770 673630 705405 764790 790283 804010 847470 875719 911865 1010445 1045213 1206015 1222702 1410810 1580566 1751438 1823730 1834053 2020890 2090426 2370849 2412030 2492431 2627157 3056755 3135639 3668106 3951415 4378595 4741698 4984862 5226065 5254314 6113510 6271278 7477293 7902830 8757190 9170265 10452130 11854245 12462155 13135785 14954586 15678195 18340530 23708490 24924310 26271570 31356390 32401603 37386465 64803206 74772930 97204809 162008015 194409618 324016030 486024045 972048090
- Sum of all divisors σ(n): 2779951104
- Sum of proper divisors (its aliquot sum) s(n): 1807903014
- 972048090 is an abundant number, because the sum of its proper divisors (1807903014) is greater than itself. Its abundance is 835854924
Bases of 972048090
- Binary: 1110011111000001000110110110102
- Hexadecimal: 0x39F046DA
- Base-36: G2QD3U
Squares and roots of 972048090
- 972048090 squared (9720480902) is 944877489272648100
- 972048090 cubed (9720480903) is 918466358731473074847129000
-
The
square root of 972048090 is 31177.6857704353 -
The
cube root of 972048090 is 990.5945107859
Scales and comparisons
How big is 972048090?- 972,048,090 seconds is equal to 30 years, 47 weeks, 1 day, 13 hours, 21 minutes, 30 seconds.
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To count from 1 to 972,048,090 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 972048090 cubic inches would be around 82.5 feet tall.
Recreational maths with 972048090
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