135368064
135,368,064 is an even composite number composed of five prime numbers multiplied together.
135368064 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 135368064:
27 × 33 × 13 × 23 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 23 × 131)See below for interesting mathematical facts about the number 135368064 from the Numbermatics database.
Names of 135368064
- Cardinal: 135368064 can be written as One hundred thirty-five million, three hundred sixty-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 1.35368064 × 108
Factors of 135368064
Divisors of 135368064
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 32 36 39 46 48 52 54 64 69 72 78 92 96 104 108 117 128 131 138 144 156 184 192 207 208 216 234 262 276 288 299 312 351 368 384 393 414 416 432 468 524 552 576 598 621 624 702 736 786 828 832 864 897 936 1048 1104 1152 1179 1196 1242 1248 1404 1472 1572 1656 1664 1703 1728 1794 1872 2096 2208 2358 2392 2484 2496 2691 2808 2944 3013 3144 3312 3406 3456 3537 3588 3744 4192 4416 4716 4784 4968 4992 5109 5382 5616 6026 6288 6624 6812 7074 7176 7488 8073 8384 8832 9039 9432 9568 9936 10218 10764 11232 12052 12576 13248 13624 14148 14352 14976 15327 16146 16768 18078 18864 19136 19872 20436 21528 22464 24104 25152 26496 27117 27248 28296 28704 30654 32292 36156 37728 38272 39169 39744 40872 43056 44928 45981 48208 50304 54234 54496 56592 57408 61308 64584 72312 75456 78338 79488 81351 81744 86112 91962 96416 108468 108992 113184 114816 117507 122616 129168 144624 150912 156676 162702 163488 172224 183924 192832 216936 217984 226368 235014 245232 258336 289248 313352 325404 326976 344448 352521 367848 385664 433872 452736 470028 490464 516672 578496 626704 650808 653952 705042 735696 867744 940056 980928 1033344 1057563 1156992 1253408 1301616 1410084 1471392 1735488 1880112 1961856 2115126 2506816 2603232 2820168 2942784 3470976 3760224 4230252 5013632 5206464 5640336 5885568 7520448 8460504 10412928 11280672 15040896 16921008 22561344 33842016 45122688 67684032 135368064
- Sum of all divisors σ(n): 452390400
- Sum of proper divisors (its aliquot sum) s(n): 317022336
- 135368064 is an abundant number, because the sum of its proper divisors (317022336) is greater than itself. Its abundance is 181654272
Bases of 135368064
- Binary: 10000001000110001101100000002
- Hexadecimal: 0x8118D80
- Base-36: 28LEO0
Squares and roots of 135368064
- 135368064 squared (1353680642) is 18324512751108096
- 135368064 cubed (1353680643) is 2480553814860816810246144
-
The
square root of 135368064 is 11634.7782101765 -
The
cube root of 135368064 is 513.4585687961
Scales and comparisons
How big is 135368064?- 135,368,064 seconds is equal to 4 years, 15 weeks, 5 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 135,368,064 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 135368064 cubic inches would be around 42.8 feet tall.
Recreational maths with 135368064
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