131628960
131,628,960 is an even composite number composed of six prime numbers multiplied together.
131628960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 131628960:
25 × 32 × 5 × 17 × 19 × 283
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 17 × 19 × 283)See below for interesting mathematical facts about the number 131628960 from the Numbermatics database.
Names of 131628960
- Cardinal: 131628960 can be written as One hundred thirty-one million, six hundred twenty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3162896 × 108
Factors of 131628960
Divisors of 131628960
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 30 32 34 36 38 40 45 48 51 57 60 68 72 76 80 85 90 95 96 102 114 120 136 144 152 153 160 170 171 180 190 204 228 240 255 272 283 285 288 304 306 323 340 342 360 380 408 456 480 510 544 566 570 608 612 646 680 684 720 760 765 816 849 855 912 969 1020 1132 1140 1224 1292 1360 1368 1415 1440 1520 1530 1615 1632 1698 1710 1824 1938 2040 2264 2280 2448 2547 2584 2720 2736 2830 2907 3040 3060 3230 3396 3420 3876 4080 4245 4528 4560 4811 4845 4896 5094 5168 5377 5472 5660 5814 6120 6460 6792 6840 7752 8160 8490 9056 9120 9622 9690 10188 10336 10754 11320 11628 12240 12735 12920 13584 13680 14433 14535 15504 16131 16980 19244 19380 20376 21508 22640 23256 24055 24480 25470 25840 26885 27168 27360 28866 29070 31008 32262 33960 38488 38760 40752 43016 43299 45280 46512 48110 48393 50940 51680 53770 57732 58140 64524 67920 72165 76976 77520 80655 81504 86032 86598 91409 93024 96220 96786 101880 107540 115464 116280 129048 135840 144330 153952 155040 161310 172064 173196 182818 192440 193572 203760 215080 216495 230928 232560 241965 258096 274227 288660 322620 346392 365636 384880 387144 407520 430160 432990 457045 461856 465120 483930 516192 548454 577320 645240 692784 731272 769760 774288 822681 860320 865980 914090 967860 1096908 1154640 1290480 1371135 1385568 1462544 1548576 1645362 1731960 1828180 1935720 2193816 2309280 2580960 2742270 2925088 3290724 3463920 3656360 3871440 4113405 4387632 5484540 6581448 6927840 7312720 7742880 8226810 8775264 10969080 13162896 14625440 16453620 21938160 26325792 32907240 43876320 65814480 131628960
- Sum of all divisors σ(n): 502407360
- Sum of proper divisors (its aliquot sum) s(n): 370778400
- 131628960 is an abundant number, because the sum of its proper divisors (370778400) is greater than itself. Its abundance is 239149440
Bases of 131628960
- Binary: 1111101100001111111101000002
- Hexadecimal: 0x7D87FA0
- Base-36: 26D9K0
Squares and roots of 131628960
- 131628960 squared (1316289602) is 17326183110681600
- 131628960 cubed (1316289603) is 2280627463628583899136000
-
The
square root of 131628960 is 11472.9664864847 -
The
cube root of 131628960 is 508.6868177105
Scales and comparisons
How big is 131628960?- 131,628,960 seconds is equal to 4 years, 9 weeks, 4 days, 11 hours, 36 minutes.
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To count from 1 to 131,628,960 would take you about 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 131628960 cubic inches would be around 42.4 feet tall.
Recreational maths with 131628960
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