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142014624012 = 22327155561277
BaseRepresentation
bin1000010001000010111…
…0110011000100001100
3111120120020120101100100
42010100232303010030
54311321220432022
6145123550131100
713155153246462
oct2042056630414
9446506511310
10142014624012
1155256609a68
12236344b0a90
1310513089801
146c33012832
153a62a221ac
hex2110bb310c

142014624012 has 36 divisors (see below), whose sum is σ = 364037493456. Its totient is φ = 46671471840.

The previous prime is 142014623999. The next prime is 142014624041. The reversal of 142014624012 is 210426410241.

142014624012 is a `hidden beast` number, since 1 + 4 + 20 + 1 + 4 + 624 + 0 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1420146240122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27778083 + ... + 27783194.

It is an arithmetic number, because the mean of its divisors is an integer number (10112152596).

Almost surely, 2142014624012 is an apocalyptic number.

142014624012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142014624012 is an abundant number, since it is smaller than the sum of its proper divisors (222022869444).

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

142014624012 is a wasteful number, since it uses less digits than its factorization.

142014624012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55561358 (or 55561353 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 142014624012 in words is "one hundred forty-two billion, fourteen million, six hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 55561277 111122554 166683831 222245108 333367662 500051493 666735324 1000102986 2000205972 3944850667 7889701334 11834552001 15779402668 23669104002 35503656003 47338208004 71007312006 142014624012