142816128
142,816,128 is an even composite number composed of six prime numbers multiplied together.
142816128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 142816128:
27 × 3 × 7 × 13 × 61 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 61 × 67)See below for interesting mathematical facts about the number 142816128 from the Numbermatics database.
Names of 142816128
- Cardinal: 142816128 can be written as One hundred forty-two million, eight hundred sixteen thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.42816128 × 108
Factors of 142816128
Divisors of 142816128
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 61 64 67 78 84 91 96 104 112 122 128 134 156 168 182 183 192 201 208 224 244 268 273 312 336 364 366 384 402 416 427 448 469 488 536 546 624 672 728 732 793 804 832 854 871 896 938 976 1072 1092 1248 1281 1344 1407 1456 1464 1586 1608 1664 1708 1742 1876 1952 2144 2184 2379 2496 2562 2613 2688 2814 2912 2928 3172 3216 3416 3484 3752 3904 4087 4288 4368 4758 4992 5124 5226 5551 5628 5824 5856 6097 6344 6432 6832 6968 7504 7808 8174 8576 8736 9516 10248 10452 11102 11256 11648 11712 12194 12261 12688 12864 13664 13936 15008 16348 16653 17472 18291 19032 20496 20904 22204 22512 23424 24388 24522 25376 25728 27328 27872 28609 30016 32696 33306 34944 36582 38064 40992 41808 44408 45024 48776 49044 50752 53131 54656 55744 57218 60032 65392 66612 73164 76128 81984 83616 85827 88816 90048 97552 98088 101504 106262 111488 114436 130784 133224 146328 152256 159393 163968 167232 171654 177632 180096 195104 196176 212524 228872 261568 266448 292656 304512 318786 334464 343308 355264 371917 390208 392352 425048 457744 523136 532896 585312 637572 686616 710528 743834 780416 784704 850096 915488 1065792 1115751 1170624 1275144 1373232 1487668 1569408 1700192 1830976 2131584 2231502 2341248 2550288 2746464 2975336 3400384 3661952 4463004 5100576 5492928 5950672 6800768 8926008 10201152 10985856 11901344 17852016 20402304 23802688 35704032 47605376 71408064 142816128
- Sum of all divisors σ(n): 481635840
- Sum of proper divisors (its aliquot sum) s(n): 338819712
- 142816128 is an abundant number, because the sum of its proper divisors (338819712) is greater than itself. Its abundance is 196003584
Bases of 142816128
- Binary: 10001000001100110011100000002
- Hexadecimal: 0x8833380
- Base-36: 2D11MO
Squares and roots of 142816128
- 142816128 squared (1428161282) is 20396446416912384
- 142816128 cubed (1428161283) is 2912941502222900398129152
-
The
square root of 142816128 is 11950.5701956015 -
The
cube root of 142816128 is 522.7079251525
Scales and comparisons
How big is 142816128?- 142,816,128 seconds is equal to 4 years, 28 weeks, 23 hours, 8 minutes, 48 seconds.
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To count from 1 to 142,816,128 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 142816128 cubic inches would be around 43.6 feet tall.
Recreational maths with 142816128
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