968137020
968,137,020 is an even composite number composed of six prime numbers multiplied together.
968137020 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 968137020:
22 × 32 × 5 × 192 × 47 × 317
(2 × 2 × 3 × 3 × 5 × 19 × 19 × 47 × 317)See below for interesting mathematical facts about the number 968137020 from the Numbermatics database.
Names of 968137020
- Cardinal: 968137020 can be written as Nine hundred sixty-eight million, one hundred thirty-seven thousand and twenty.
Scientific notation
- Scientific notation: 9.6813702 × 108
Factors of 968137020
Divisors of 968137020
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 47 57 60 76 90 94 95 114 141 171 180 188 190 228 235 282 285 317 342 361 380 423 470 564 570 634 684 705 722 846 855 893 940 951 1083 1140 1268 1410 1444 1585 1692 1710 1786 1805 1902 2115 2166 2679 2820 2853 3170 3249 3420 3572 3610 3804 4230 4332 4465 4755 5358 5415 5706 6023 6340 6498 7220 8037 8460 8930 9510 10716 10830 11412 12046 12996 13395 14265 14899 16074 16245 16967 17860 18069 19020 21660 24092 26790 28530 29798 30115 32148 32490 33934 36138 40185 44697 50901 53580 54207 57060 59596 60230 64980 67868 72276 74495 80370 84835 89394 90345 101802 108414 114437 120460 134091 148990 152703 160740 169670 178788 180690 203604 216828 223485 228874 254505 268182 271035 283081 297980 305406 339340 343311 361380 446970 457748 509010 536364 542070 566162 572185 610812 670455 686622 763515 849243 893940 1018020 1029933 1084140 1132324 1144370 1340910 1373244 1415405 1527030 1698486 1716555 2059866 2288740 2547729 2681820 2830810 3054060 3396972 3433110 4119732 4246215 5095458 5149665 5378539 5661620 6866220 8492430 10190916 10299330 10757078 12738645 16135617 16984860 20598660 21514156 25477290 26892695 32271234 48406851 50954580 53785390 64542468 80678085 96813702 107570780 161356170 193627404 242034255 322712340 484068510 968137020
- Sum of all divisors σ(n): 3175308864
- Sum of proper divisors (its aliquot sum) s(n): 2207171844
- 968137020 is an abundant number, because the sum of its proper divisors (2207171844) is greater than itself. Its abundance is 1239034824
Bases of 968137020
- Binary: 1110011011010010011001001111002
- Hexadecimal: 0x39B4993C
- Base-36: G0EJB0
Squares and roots of 968137020
- 968137020 squared (9681370202) is 937289289494480400
- 968137020 cubed (9681370203) is 907424459609103560904408000
-
The
square root of 968137020 is 31114.9002890897 -
The
cube root of 968137020 is 989.2641608899
Scales and comparisons
How big is 968137020?- 968,137,020 seconds is equal to 30 years, 40 weeks, 5 days, 6 hours, 57 minutes.
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To count from 1 to 968,137,020 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 968137020 cubic inches would be around 82.4 feet tall.
Recreational maths with 968137020
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