135364320
135,364,320 is an even composite number composed of six prime numbers multiplied together.
135364320 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 135364320:
25 × 32 × 5 × 7 × 13 × 1033
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 1033)See below for interesting mathematical facts about the number 135364320 from the Numbermatics database.
Names of 135364320
- Cardinal: 135364320 can be written as One hundred thirty-five million, three hundred sixty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3536432 × 108
Factors of 135364320
Divisors of 135364320
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 65 70 72 78 80 84 90 91 96 104 105 112 117 120 126 130 140 144 156 160 168 180 182 195 208 210 224 234 240 252 260 273 280 288 312 315 336 360 364 390 416 420 455 468 480 504 520 546 560 585 624 630 672 720 728 780 819 840 910 936 1008 1033 1040 1092 1120 1170 1248 1260 1365 1440 1456 1560 1638 1680 1820 1872 2016 2066 2080 2184 2340 2520 2730 2912 3099 3120 3276 3360 3640 3744 4095 4132 4368 4680 5040 5165 5460 6198 6240 6552 7231 7280 8190 8264 8736 9297 9360 10080 10330 10920 12396 13104 13429 14462 14560 15495 16380 16528 18594 18720 20660 21693 21840 24792 26208 26858 28924 30990 32760 33056 36155 37188 40287 41320 43386 43680 46485 49584 53716 57848 61980 65079 65520 67145 72310 74376 80574 82640 86772 92970 94003 99168 107432 108465 115696 120861 123960 130158 131040 134290 144620 148752 161148 165280 173544 185940 188006 201435 214864 216930 231392 241722 247920 260316 268580 282009 289240 297504 322296 325395 347088 371880 376012 402870 429728 433860 470015 483444 495840 520632 537160 564018 578480 604305 644592 650790 694176 743760 752024 805740 846027 867720 940030 966888 1041264 1074320 1128036 1156960 1208610 1289184 1301580 1410045 1487520 1504048 1611480 1692054 1735440 1880060 1933776 2082528 2148640 2256072 2417220 2603160 2820090 3008096 3222960 3384108 3470880 3760120 3867552 4230135 4512144 4834440 5206320 5640180 6445920 6768216 7520240 8460270 9024288 9668880 10412640 11280360 13536432 15040480 16920540 19337760 22560720 27072864 33841080 45121440 67682160 135364320
- Sum of all divisors σ(n): 569080512
- Sum of proper divisors (its aliquot sum) s(n): 433716192
- 135364320 is an abundant number, because the sum of its proper divisors (433716192) is greater than itself. Its abundance is 298351872
Bases of 135364320
- Binary: 10000001000101111110111000002
- Hexadecimal: 0x8117EE0
- Base-36: 28LBS0
Squares and roots of 135364320
- 135364320 squared (1353643202) is 18323499129062400
- 135364320 cubed (1353643203) is 2480347999626124013568000
-
The
square root of 135364320 is 11634.6173121423 -
The
cube root of 135364320 is 513.4538350193
Scales and comparisons
How big is 135364320?- 135,364,320 seconds is equal to 4 years, 15 weeks, 5 days, 17 hours, 12 minutes.
-
To count from 1 to 135,364,320 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 135364320 cubic inches would be around 42.8 feet tall.
Recreational maths with 135364320
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