988134120
988,134,120 is an even composite number composed of six prime numbers multiplied together.
988134120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 988134120:
23 × 33 × 5 × 53 × 61 × 283
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 53 × 61 × 283)See below for interesting mathematical facts about the number 988134120 from the Numbermatics database.
Names of 988134120
- Cardinal: 988134120 can be written as Nine hundred eighty-eight million, one hundred thirty-four thousand, one hundred twenty.
Scientific notation
- Scientific notation: 9.8813412 × 108
Factors of 988134120
Divisors of 988134120
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 61 72 90 106 108 120 122 135 159 180 183 212 216 244 265 270 283 305 318 360 366 424 477 488 530 540 549 566 610 636 732 795 849 915 954 1060 1080 1098 1132 1220 1272 1415 1431 1464 1590 1647 1698 1830 1908 2120 2196 2264 2385 2440 2547 2745 2830 2862 3180 3233 3294 3396 3660 3816 4245 4392 4770 5094 5490 5660 5724 6360 6466 6588 6792 7155 7320 7641 8235 8490 9540 9699 10188 10980 11320 11448 12735 12932 13176 14310 14999 15282 16165 16470 16980 17263 19080 19398 20376 21960 25470 25864 28620 29097 29998 30564 32330 32940 33960 34526 38205 38796 44997 48495 50940 51789 57240 58194 59996 61128 64660 65880 69052 74995 76410 77592 86315 87291 89994 96990 101880 103578 116388 119992 129320 134991 138104 145485 149990 152820 155367 172630 174582 179988 193980 207156 224985 232776 258945 269982 290970 299980 305640 310734 345260 349164 359976 387960 404973 414312 436455 449970 466101 517890 539964 581940 599960 621468 674955 690520 698328 776835 809946 872910 899940 914939 932202 1035780 1079928 1163880 1242936 1349910 1553670 1619892 1745820 1799880 1829878 1864404 2024865 2071560 2330505 2699820 2744817 3107340 3239784 3491640 3659756 3728808 4049730 4574695 4661010 5399640 5489634 6214680 7319512 8099460 8234451 9149390 9322020 10979268 13724085 16198920 16468902 18298780 18644040 21958536 24703353 27448170 32937804 36597560 41172255 49406706 54896340 65875608 82344510 98813412 109792680 123516765 164689020 197626824 247033530 329378040 494067060 988134120
- Sum of all divisors σ(n): 3422995200
- Sum of proper divisors (its aliquot sum) s(n): 2434861080
- 988134120 is an abundant number, because the sum of its proper divisors (2434861080) is greater than itself. Its abundance is 1446726960
Bases of 988134120
- Binary: 1110101110010110111010111010002
- Hexadecimal: 0x3AE5BAE8
- Base-36: GCB560
Squares and roots of 988134120
- 988134120 squared (9881341202) is 976409039108174400
- 988134120 cubed (9881341203) is 964823086619201495550528000
-
The
square root of 988134120 is 31434.6006814147 -
The
cube root of 988134120 is 996.0289583683
Scales and comparisons
How big is 988134120?- 988,134,120 seconds is equal to 31 years, 21 weeks, 5 days, 17 hours, 42 minutes.
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To count from 1 to 988,134,120 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 988134120 cubic inches would be around 83 feet tall.
Recreational maths with 988134120
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