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142263662112 = 253211133454343
BaseRepresentation
bin1000010001111110010…
…0110011011000100000
3111121012121011211101200
42010133210303120200
54312323444141422
6145204404001200
713164266114205
oct2043744633040
9447177154350
10142263662112
1155374145a80
12236a3990200
1310552853430
146c5811bcac
153a798162ac
hex211f933620

142263662112 has 144 divisors (see below), whose sum is σ = 475290099648. Its totient is φ = 39794019840.

The previous prime is 142263662083. The next prime is 142263662131. The reversal of 142263662112 is 211266362241.

142263662112 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 636 + 6 + 2 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1685988 + ... + 1768355.

It is an arithmetic number, because the mean of its divisors is an integer number (3300625692).

Almost surely, 2142263662112 is an apocalyptic number.

142263662112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142263662112 is an abundant number, since it is smaller than the sum of its proper divisors (333026437536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142263662112 is a wasteful number, since it uses less digits than its factorization.

142263662112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454383 (or 3454372 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 142263662112 in words is "one hundred forty-two billion, two hundred sixty-three million, six hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 3454343 6908686 10363029 13817372 20726058 27634744 31089087 37997773 41452116 44906459 55269488 62178174 75995546 82904232 89812918 110538976 113993319 124356348 134719377 151991092 165808464 179625836 227986638 248712696 269438754 303982184 331616928 341979957 359251672 404158131 455973276 493971049 497425392 538877508 607964368 683959914 718503344 808316262 911946552 987942098 994850784 1077755016 1215928736 1367919828 1437006688 1481913147 1616632524 1823893104 1975884196 2155510032 2735839656 2963826294 3233265048 3647786208 3951768392 4311020064 4445739441 5471679312 5927652588 6466530096 7903536784 8891478882 10943358624 11855305176 12933060192 15807073568 17782957764 23710610352 35565915528 47421220704 71131831056 142263662112