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114622404120 = 2332571714917957
BaseRepresentation
bin110101011000000000…
…1110001011000011000
3101221212020021102202200
41222300001301120120
53334221313412440
6124353511530200
711165310234210
oct1526001613030
9357766242680
10114622404120
114467a3a4804
121a26a989960
13aa6905c983
145795073240
152eacd13c30
hex1ab0071618

114622404120 has 384 divisors, whose sum is σ = 453834576000. Its totient is φ = 24491409408.

The previous prime is 114622404073. The next prime is 114622404121. The reversal of 114622404120 is 21404226411.

114622404120 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 2 + 240 + 412 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114622404121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6374182 + ... + 6392138.

It is an arithmetic number, because the mean of its divisors is an integer number (1181860875).

Almost surely, 2114622404120 is an apocalyptic number.

114622404120 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 114622404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226917288000).

114622404120 is an abundant number, since it is smaller than the sum of its proper divisors (339212171880).

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

114622404120 is a wasteful number, since it uses less digits than its factorization.

114622404120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18147 (or 18140 counting only the distinct ones).

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

The spelling of 114622404120 in words is "one hundred fourteen billion, six hundred twenty-two million, four hundred four thousand, one hundred twenty".