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114409055904 = 253111347177319
BaseRepresentation
bin110101010001101001…
…1111010011010100000
3101221022100211020000220
41222203103322122200
53333302204242104
6124320411043040
711160106633563
oct1524323723240
9357270736026
10114409055904
114457aa25070
121a20b440480
13aa33ab0b20
1457749b84da
152e9921e7d9
hex1aa34fa6a0

114409055904 has 192 divisors, whose sum is σ = 360336936960. Its totient is φ = 31321451520.

The previous prime is 114409055867. The next prime is 114409055953. The reversal of 114409055904 is 409550904411.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556557 + ... + 733875.

It is an arithmetic number, because the mean of its divisors is an integer number (1876754880).

Almost surely, 2114409055904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114409055904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180168468480).

114409055904 is an abundant number, since it is smaller than the sum of its proper divisors (245927881056).

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

114409055904 is a wasteful number, since it uses less digits than its factorization.

114409055904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177403 (or 177395 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 114409055904 in words is "one hundred fourteen billion, four hundred nine million, fifty-five thousand, nine hundred four".