970748064
970,748,064 is an even composite number composed of five prime numbers multiplied together.
970748064 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 970748064:
25 × 37 × 11 × 13 × 97
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 97)See below for interesting mathematical facts about the number 970748064 from the Numbermatics database.
Names of 970748064
- Cardinal: 970748064 can be written as Nine hundred seventy million, seven hundred forty-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 9.70748064 × 108
Factors of 970748064
Divisors of 970748064
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 66 72 78 81 88 96 97 99 104 108 117 132 143 144 156 162 176 194 198 208 216 234 243 264 286 288 291 297 312 324 351 352 388 396 416 429 432 468 486 528 572 582 594 624 648 702 729 776 792 858 864 873 891 936 972 1053 1056 1067 1144 1164 1188 1248 1261 1287 1296 1404 1458 1552 1584 1716 1746 1782 1872 1944 2106 2134 2187 2288 2328 2376 2522 2574 2592 2619 2673 2808 2916 3104 3159 3168 3201 3432 3492 3564 3744 3783 3861 3888 4212 4268 4374 4576 4656 4752 5044 5148 5238 5346 5616 5832 6318 6402 6864 6984 7128 7566 7722 7776 7857 8019 8424 8536 8748 9312 9477 9504 9603 10088 10296 10476 10692 11232 11349 11583 11664 12636 12804 13728 13871 13968 14256 15132 15444 15714 16038 16848 17072 17496 18954 19206 20176 20592 20952 21384 22698 23166 23328 23571 24057 25272 25608 27742 27936 28431 28512 28809 30264 30888 31428 32076 33696 34047 34144 34749 34992 37908 38412 40352 41184 41613 41904 42768 45396 46332 47142 48114 50544 51216 55484 56862 57618 60528 61776 62856 64152 68094 69498 69984 70713 75816 76824 83226 83808 85536 86427 90792 92664 94284 96228 101088 102141 102432 104247 110968 113724 115236 121056 123552 124839 125712 128304 136188 138996 141426 151632 153648 166452 172854 181584 185328 188568 192456 204282 208494 212139 221936 227448 230472 249678 251424 256608 259281 272376 277992 282852 303264 306423 307296 312741 332904 345708 363168 370656 374517 377136 384912 408564 416988 424278 443872 454896 460944 499356 518562 544752 555984 565704 612846 625482 665808 691416 749034 754272 769824 777843 817128 833976 848556 909792 919269 921888 998712 1037124 1089504 1111968 1123551 1131408 1225692 1250964 1331616 1382832 1498068 1555686 1634256 1667952 1697112 1838538 1997424 2074248 2247102 2262816 2333529 2451384 2501928 2757807 2765664 2996136 3111372 3268512 3335904 3370653 3394224 3677076 3994848 4148496 4494204 4667058 4902768 5003856 5515614 5992272 6222744 6741306 6788448 7354152 8296992 8988408 9334116 9805536 10007712 10111959 11031228 11984544 12445488 13482612 14708304 17976816 18668232 20223918 22062456 24890976 26965224 29416608 30335877 35953632 37336464 40447836 44124912 53930448 60671754 74672928 80895672 88249824 107860896 121343508 161791344 242687016 323582688 485374032 970748064
- Sum of all divisors σ(n): 3402120960
- Sum of proper divisors (its aliquot sum) s(n): 2431372896
- 970748064 is an abundant number, because the sum of its proper divisors (2431372896) is greater than itself. Its abundance is 1460624832
Bases of 970748064
- Binary: 1110011101110001110000101000002
- Hexadecimal: 0x39DC70A0
- Base-36: G1YI00
Squares and roots of 970748064
- 970748064 squared (9707480642) is 942351803759748096
- 970748064 cubed (9707480643) is 914786189106683385319686144
-
The
square root of 970748064 is 31156.8301340171 -
The
cube root of 970748064 is 990.1527037175
Scales and comparisons
How big is 970748064?- 970,748,064 seconds is equal to 30 years, 45 weeks, 12 hours, 14 minutes, 24 seconds.
-
To count from 1 to 970,748,064 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 970748064 cubic inches would be around 82.5 feet tall.
Recreational maths with 970748064
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