135123296
135,123,296 is an even composite number composed of six prime numbers multiplied together.
135123296 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 135123296:
25 × 7 × 11 × 29 × 31 × 61
(2 × 2 × 2 × 2 × 2 × 7 × 11 × 29 × 31 × 61)See below for interesting mathematical facts about the number 135123296 from the Numbermatics database.
Names of 135123296
- Cardinal: 135123296 can be written as One hundred thirty-five million, one hundred twenty-three thousand, two hundred ninety-six.
Scientific notation
- Scientific notation: 1.35123296 × 108
Factors of 135123296
Divisors of 135123296
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 29 31 32 44 56 58 61 62 77 88 112 116 122 124 154 176 203 217 224 232 244 248 308 319 341 352 406 427 434 464 488 496 616 638 671 682 812 854 868 899 928 976 992 1232 1276 1342 1364 1624 1708 1736 1769 1798 1891 1952 2233 2387 2464 2552 2684 2728 3248 3416 3472 3538 3596 3782 4466 4697 4774 5104 5368 5456 6293 6496 6832 6944 7076 7192 7564 8932 9394 9548 9889 10208 10736 10912 12383 12586 13237 13664 14152 14384 15128 17864 18788 19096 19459 19778 20801 21472 24766 25172 26474 28304 28768 30256 35728 37576 38192 38918 39556 41602 49532 50344 52948 54839 56608 60512 69223 71456 75152 76384 77836 79112 83204 99064 100688 105896 109678 136213 138446 145607 150304 155672 158224 166408 198128 201376 211792 219356 272426 276892 291214 311344 316448 332816 383873 396256 423584 438712 544852 553784 582428 603229 622688 665632 767746 877424 1089704 1107568 1164856 1206458 1535492 1754848 2179408 2215136 2329712 2412916 3070984 4222603 4358816 4659424 4825832 6141968 8445206 9651664 12283936 16890412 19303328 33780824 67561648 135123296
- Sum of all divisors σ(n): 359976960
- Sum of proper divisors (its aliquot sum) s(n): 224853664
- 135123296 is an abundant number, because the sum of its proper divisors (224853664) is greater than itself. Its abundance is 89730368
Bases of 135123296
- Binary: 10000000110111010001011000002
- Hexadecimal: 0x80DD160
- Base-36: 28G5SW
Squares and roots of 135123296
- 135123296 squared (1351232962) is 18258305121903616
- 135123296 cubed (1351232963) is 2467122367445298388238336
-
The
square root of 135123296 is 11624.2546427717 -
The
cube root of 135123296 is 513.1489092193
Scales and comparisons
How big is 135123296?- 135,123,296 seconds is equal to 4 years, 15 weeks, 2 days, 22 hours, 14 minutes, 56 seconds.
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To count from 1 to 135,123,296 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 135123296 cubic inches would be around 42.8 feet tall.
Recreational maths with 135123296
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