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14012510112 = 253442112841
BaseRepresentation
bin11010000110011010…
…11110111110100000
31100011120000021020000
431003031132332200
5212144200310422
610234240420000
71004146241106
oct150315367640
940146007200
1014012510112
115a40773277
122870917600
13142409c103
1496d011c76
155702a4cac
hex34335efa0

14012510112 has 120 divisors (see below), whose sum is σ = 41311506852. Its totient is φ = 4659379200.

The previous prime is 14012510077. The next prime is 14012510129. The reversal of 14012510112 is 21101521041.

14012510112 is a `hidden beast` number, since 1 + 40 + 1 + 2 + 510 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12143158416 + 1869351696 = 110196^2 + 43236^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1084812 + ... + 1097652.

Almost surely, 214012510112 is an apocalyptic number.

14012510112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14012510112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20655753426).

14012510112 is an abundant number, since it is smaller than the sum of its proper divisors (27298996740).

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

14012510112 is a wasteful number, since it uses less digits than its factorization.

14012510112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13284 (or 13267 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The spelling of 14012510112 in words is "fourteen billion, twelve million, five hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 421 432 648 842 864 1263 1296 1684 2526 2592 3368 3789 5052 6736 7578 10104 11367 12841 13472 15156 20208 22734 25682 30312 34101 38523 40416 45468 51364 60624 68202 77046 90936 102728 115569 121248 136404 154092 181872 205456 231138 272808 308184 346707 363744 410912 462276 545616 616368 693414 924552 1040121 1091232 1232736 1386828 1849104 2080242 2773656 3698208 4160484 5406061 5547312 8320968 10812122 11094624 16218183 16641936 21624244 32436366 33283872 43248488 48654549 64872732 86496976 97309098 129745464 145963647 172993952 194618196 259490928 291927294 389236392 437890941 518981856 583854588 778472784 875781882 1167709176 1556945568 1751563764 2335418352 3503127528 4670836704 7006255056 14012510112