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114357555400 = 2352113110715671
BaseRepresentation
bin110101010000000111…
…1011101000011001000
3101221011202220201121211
41222200033131003020
53333201013233100
6124311331142504
711155613116414
oct1524017350310
9357152821554
10114357555400
1144553949a70
121a1b6144a34
13aa2621b75a
14576bc0dd44
152e9494a1ba
hex1aa03dd0c8

114357555400 has 192 divisors, whose sum is σ = 302226370560. Its totient is φ = 39864480000.

The previous prime is 114357555397. The next prime is 114357555413. The reversal of 114357555400 is 4555753411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7289565 + ... + 7305235.

It is an arithmetic number, because the mean of its divisors is an integer number (1574095680).

Almost surely, 2114357555400 is an apocalyptic number.

114357555400 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 114357555400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151113185280).

114357555400 is an abundant number, since it is smaller than the sum of its proper divisors (187868815160).

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

114357555400 is a wasteful number, since it uses less digits than its factorization.

114357555400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15836 (or 15827 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 40.

The spelling of 114357555400 in words is "one hundred fourteen billion, three hundred fifty-seven million, five hundred fifty-five thousand, four hundred".