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18344756142 = 23229307114473
BaseRepresentation
bin10001000101011011…
…101100001110101110
31202100110220011112200
4101011123230032232
5300032224144032
612232155442330
71216412566026
oct210533541656
952313804480
1018344756142
117864155899
12367b7563a6
13196479b9bb
14c60530a86
157257a847c
hex4456ec3ae

18344756142 has 48 divisors (see below), whose sum is σ = 41251850640. Its totient is φ = 5884776576.

The previous prime is 18344756123. The next prime is 18344756161. The reversal of 18344756142 is 24165744381.

18344756142 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 47 + 561 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (18344756123) and next prime (18344756161).

It is a congruent number.

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, 103018 + ... + 217490.

It is an arithmetic number, because the mean of its divisors is an integer number (859413555).

Almost surely, 218344756142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18344756142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20625925320).

18344756142 is an abundant number, since it is smaller than the sum of its proper divisors (22907094498).

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

18344756142 is a wasteful number, since it uses less digits than its factorization.

18344756142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114817 (or 114814 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 18344756142 in words is "eighteen billion, three hundred forty-four million, seven hundred fifty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 307 522 614 921 1842 2763 5526 8903 17806 26709 53418 80127 114473 160254 228946 343419 686838 1030257 2060514 3319717 6639434 9959151 19918302 29877453 35143211 59754906 70286422 105429633 210859266 316288899 632577798 1019153119 2038306238 3057459357 6114918714 9172378071 18344756142