135628416
135,628,416 is an even composite number composed of five prime numbers multiplied together.
135628416 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 135628416:
27 × 32 × 7 × 112 × 139
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 11 × 139)See below for interesting mathematical facts about the number 135628416 from the Numbermatics database.
Names of 135628416
- Cardinal: 135628416 can be written as One hundred thirty-five million, six hundred twenty-eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.35628416 × 108
Factors of 135628416
Divisors of 135628416
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 64 66 72 77 84 88 96 99 112 121 126 128 132 139 144 154 168 176 192 198 224 231 242 252 264 278 288 308 336 352 363 384 396 417 448 462 484 504 528 556 576 616 672 693 704 726 792 834 847 896 924 968 973 1008 1056 1089 1112 1152 1232 1251 1344 1386 1408 1452 1529 1584 1668 1694 1848 1936 1946 2016 2112 2178 2224 2464 2502 2541 2688 2772 2904 2919 3058 3168 3336 3388 3696 3872 3892 4032 4224 4356 4448 4587 4928 5004 5082 5544 5808 5838 6116 6336 6672 6776 7392 7623 7744 7784 8064 8712 8757 8896 9174 9856 10008 10164 10703 11088 11616 11676 12232 12672 13344 13552 13761 14784 15246 15488 15568 16819 17424 17514 17792 18348 20016 20328 21406 22176 23232 23352 24464 26688 27104 27522 29568 30492 31136 32109 33638 34848 35028 36696 40032 40656 42812 44352 46464 46704 48928 50457 53376 54208 55044 60984 62272 64218 67276 69696 70056 73392 80064 81312 85624 88704 93408 96327 97856 100914 108416 110088 117733 121968 124544 128436 134552 139392 140112 146784 151371 160128 162624 171248 186816 192654 195712 201828 220176 235466 243936 256872 269104 280224 293568 302742 325248 342496 353199 373632 385308 403656 440352 470932 487872 513744 538208 560448 587136 605484 684992 706398 770616 807312 880704 941864 975744 1027488 1059597 1076416 1120896 1210968 1369984 1412796 1541232 1614624 1761408 1883728 2054976 2119194 2152832 2421936 2825592 3082464 3229248 3767456 4109952 4238388 4843872 5651184 6164928 6458496 7534912 8476776 9687744 11302368 12329856 15069824 16953552 19375488 22604736 33907104 45209472 67814208 135628416
- Sum of all divisors σ(n): 493802400
- Sum of proper divisors (its aliquot sum) s(n): 358173984
- 135628416 is an abundant number, because the sum of its proper divisors (358173984) is greater than itself. Its abundance is 222545568
Bases of 135628416
- Binary: 10000001010110000110100000002
- Hexadecimal: 0x8158680
- Base-36: 28QZK0
Squares and roots of 135628416
- 135628416 squared (1356284162) is 18395067226669056
- 135628416 cubed (1356284163) is 2494893830166637021495296
-
The
square root of 135628416 is 11645.9613600597 -
The
cube root of 135628416 is 513.7875345089
Scales and comparisons
How big is 135628416?- 135,628,416 seconds is equal to 4 years, 16 weeks, 1 day, 18 hours, 33 minutes, 36 seconds.
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To count from 1 to 135,628,416 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 135628416 cubic inches would be around 42.8 feet tall.
Recreational maths with 135628416
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