137145120
137,145,120 is an even composite number composed of five prime numbers multiplied together.
137145120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137145120:
25 × 3 × 5 × 75 × 17
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 7 × 7 × 17)See below for interesting mathematical facts about the number 137145120 from the Numbermatics database.
Names of 137145120
- Cardinal: 137145120 can be written as One hundred thirty-seven million, one hundred forty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3714512 × 108
Factors of 137145120
Divisors of 137145120
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 49 51 56 60 68 70 80 84 85 96 98 102 105 112 119 120 136 140 147 160 168 170 196 204 210 224 238 240 245 255 272 280 294 336 340 343 357 392 408 420 476 480 490 510 544 560 588 595 672 680 686 714 735 784 816 833 840 952 980 1020 1029 1120 1176 1190 1360 1372 1428 1470 1568 1632 1666 1680 1715 1785 1904 1960 2040 2058 2352 2380 2401 2499 2720 2744 2856 2940 3332 3360 3430 3570 3808 3920 4080 4116 4165 4704 4760 4802 4998 5145 5488 5712 5831 5880 6664 6860 7140 7203 7840 8160 8232 8330 9520 9604 9996 10290 10976 11424 11662 11760 12005 12495 13328 13720 14280 14406 16464 16660 16807 17493 19040 19208 19992 20580 23324 23520 24010 24990 26656 27440 28560 28812 29155 32928 33320 33614 34986 36015 38416 39984 40817 41160 46648 48020 49980 50421 54880 57120 57624 58310 66640 67228 69972 72030 76832 79968 81634 82320 84035 87465 93296 96040 99960 100842 115248 116620 122451 133280 134456 139944 144060 163268 164640 168070 174930 186592 192080 199920 201684 204085 230496 233240 244902 252105 268912 279888 285719 288120 326536 336140 349860 384160 399840 403368 408170 466480 489804 504210 537824 559776 571438 576240 612255 653072 672280 699720 806736 816340 857157 932960 979608 1008420 1142876 1152480 1224510 1306144 1344560 1399440 1428595 1613472 1632680 1714314 1959216 2016840 2285752 2449020 2689120 2798880 2857190 3265360 3428628 3918432 4033680 4285785 4571504 4898040 5714380 6530720 6857256 8067360 8571570 9143008 9796080 11428760 13714512 17143140 19592160 22857520 27429024 34286280 45715040 68572560 137145120
- Sum of all divisors σ(n): 533651328
- Sum of proper divisors (its aliquot sum) s(n): 396506208
- 137145120 is an abundant number, because the sum of its proper divisors (396506208) is greater than itself. Its abundance is 259361088
Bases of 137145120
- Binary: 10000010110010101011001000002
- Hexadecimal: 0x82CAB20
- Base-36: 29NHUO
Squares and roots of 137145120
- 137145120 squared (1371451202) is 18808783939814400
- 137145120 cubed (1371451203) is 2579532930479918665728000
-
The
square root of 137145120 is 11710.8974890911 -
The
cube root of 137145120 is 515.6956320505
Scales and comparisons
How big is 137145120?- 137,145,120 seconds is equal to 4 years, 18 weeks, 5 days, 7 hours, 52 minutes.
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To count from 1 to 137,145,120 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 137145120 cubic inches would be around 43 feet tall.
Recreational maths with 137145120
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