136148320
136,148,320 is an even composite number composed of six prime numbers multiplied together.
136148320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 136148320:
25 × 5 × 7 × 11 × 43 × 257
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 43 × 257)See below for interesting mathematical facts about the number 136148320 from the Numbermatics database.
Names of 136148320
- Cardinal: 136148320 can be written as One hundred thirty-six million, one hundred forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3614832 × 108
Factors of 136148320
Divisors of 136148320
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 43 44 55 56 70 77 80 86 88 110 112 140 154 160 172 176 215 220 224 257 280 301 308 344 352 385 430 440 473 514 560 602 616 688 770 860 880 946 1028 1120 1204 1232 1285 1376 1505 1540 1720 1760 1799 1892 2056 2365 2408 2464 2570 2827 3010 3080 3311 3440 3598 3784 4112 4730 4816 5140 5654 6020 6160 6622 6880 7196 7568 8224 8995 9460 9632 10280 11051 11308 12040 12320 13244 14135 14392 15136 16555 17990 18920 19789 20560 22102 22616 24080 26488 28270 28784 33110 35980 37840 39578 41120 44204 45232 48160 52976 55255 56540 57568 66220 71960 75680 77357 79156 88408 90464 98945 105952 110510 113080 121561 132440 143920 154714 158312 176816 197890 221020 226160 243122 264880 287840 309428 316624 353632 386785 395780 442040 452320 486244 529760 607805 618856 633248 773570 791560 850927 884080 972488 1215610 1237712 1547140 1583120 1701854 1768160 1944976 2431220 2475424 3094280 3166240 3403708 3889952 4254635 4862440 6188560 6807416 8509270 9724880 12377120 13614832 17018540 19449760 27229664 34037080 68074160 136148320
- Sum of all divisors σ(n): 411941376
- Sum of proper divisors (its aliquot sum) s(n): 275793056
- 136148320 is an abundant number, because the sum of its proper divisors (275793056) is greater than itself. Its abundance is 139644736
Bases of 136148320
- Binary: 10000001110101110101011000002
- Hexadecimal: 0x81D7560
- Base-36: 2924PS
Squares and roots of 136148320
- 136148320 squared (1361483202) is 18536365038822400
- 136148320 cubed (1361483203) is 2523694958942404538368000
-
The
square root of 136148320 is 11668.2612243641 -
The
cube root of 136148320 is 514.4431975087
Scales and comparisons
How big is 136148320?- 136,148,320 seconds is equal to 4 years, 17 weeks, 18 hours, 58 minutes, 40 seconds.
-
To count from 1 to 136,148,320 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 136148320 cubic inches would be around 42.9 feet tall.
Recreational maths with 136148320
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