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18340440120 = 23335235313931
BaseRepresentation
bin10001000101001011…
…001110100000111000
31202100011202220002000
4101011023032200320
5300030123040440
612231523141000
71216331111622
oct210513164070
952304686060
1018340440120
117861778132
12367a214760
13196391a342
14c5db29c12
15725204730
hex4452ce838

18340440120 has 256 divisors, whose sum is σ = 65001139200. Its totient is φ = 4589544960.

The previous prime is 18340439989. The next prime is 18340440121. The reversal of 18340440120 is 2104404381.

18340440120 is a `hidden beast` number, since 183 + 40 + 440 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×183404401202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18340440121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1309555 + ... + 1323485.

It is an arithmetic number, because the mean of its divisors is an integer number (253910700).

Almost surely, 218340440120 is an apocalyptic number.

18340440120 is a gapful number since it is divisible by the number (10) 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 18340440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32500569600).

18340440120 is an abundant number, since it is smaller than the sum of its proper divisors (46660699080).

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

18340440120 is a wasteful number, since it uses less digits than its factorization.

18340440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14027 (or 14017 counting only the distinct ones).

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

The spelling of 18340440120 in words is "eighteen billion, three hundred forty million, four hundred forty thousand, one hundred twenty".