136125120
136,125,120 is an even composite number composed of six prime numbers multiplied together.
136125120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 136125120:
26 × 3 × 5 × 17 × 19 × 439
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 19 × 439)See below for interesting mathematical facts about the number 136125120 from the Numbermatics database.
Names of 136125120
- Cardinal: 136125120 can be written as One hundred thirty-six million, one hundred twenty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3612512 × 108
Factors of 136125120
Divisors of 136125120
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 30 32 34 38 40 48 51 57 60 64 68 76 80 85 95 96 102 114 120 136 152 160 170 190 192 204 228 240 255 272 285 304 320 323 340 380 408 439 456 480 510 544 570 608 646 680 760 816 878 912 960 969 1020 1088 1140 1216 1292 1317 1360 1520 1615 1632 1756 1824 1938 2040 2195 2280 2584 2634 2720 3040 3230 3264 3512 3648 3876 4080 4390 4560 4845 5168 5268 5440 6080 6460 6585 7024 7463 7752 8160 8341 8780 9120 9690 10336 10536 12920 13170 14048 14926 15504 16320 16682 17560 18240 19380 20672 21072 22389 25023 25840 26340 28096 29852 31008 33364 35120 37315 38760 41705 42144 44778 50046 51680 52680 59704 62016 66728 70240 74630 77520 83410 84288 89556 100092 103360 105360 111945 119408 125115 133456 140480 141797 149260 155040 166820 179112 200184 210720 223890 238816 250230 266912 283594 298520 310080 333640 358224 400368 421440 425391 447780 477632 500460 533824 567188 597040 667280 708985 716448 800736 850782 895560 1000920 1134376 1194080 1334560 1417970 1432896 1601472 1701564 1791120 2001840 2126955 2268752 2388160 2669120 2835940 3403128 3582240 4003680 4253910 4537504 5671880 6806256 7164480 8007360 8507820 9075008 11343760 13612512 17015640 22687520 27225024 34031280 45375040 68062560 136125120
- Sum of all divisors σ(n): 482803200
- Sum of proper divisors (its aliquot sum) s(n): 346678080
- 136125120 is an abundant number, because the sum of its proper divisors (346678080) is greater than itself. Its abundance is 210552960
Bases of 136125120
- Binary: 10000001110100011010110000002
- Hexadecimal: 0x81D1AC0
- Base-36: 291MTC
Squares and roots of 136125120
- 136125120 squared (1361251202) is 18530048295014400
- 136125120 cubed (1361251203) is 2522405047764630601728000
-
The
square root of 136125120 is 11667.2670321717 -
The
cube root of 136125120 is 514.4139750643
Scales and comparisons
How big is 136125120?- 136,125,120 seconds is equal to 4 years, 17 weeks, 12 hours, 32 minutes.
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To count from 1 to 136,125,120 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 136125120 cubic inches would be around 42.9 feet tall.
Recreational maths with 136125120
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