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114562873344 = 211353596789
BaseRepresentation
bin110101010110001111…
…0101011100000000000
3101221201002020221220010
41222230132223200000
53334111043421334
6124343543544520
711163655233123
oct1525436534000
9357632227803
10114562873344
1144649834417
121a252a5b140
13aa5991846a
14578b1b83ba
152ea79a50e9
hex1aac7ab800

114562873344 has 384 divisors, whose sum is σ = 324795744000. Its totient is φ = 35874668544.

The previous prime is 114562873319. The next prime is 114562873379. The reversal of 114562873344 is 443378265411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 114562873293 and 114562873302.

It is a congruent 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, 1287223252 + ... + 1287223340.

It is an arithmetic number, because the mean of its divisors is an integer number (845822250).

Almost surely, 2114562873344 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 114562873344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162397872000).

114562873344 is an abundant number, since it is smaller than the sum of its proper divisors (210232870656).

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

114562873344 is an equidigital number, since it uses as much as digits as its factorization.

114562873344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 273 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 114562873344 in words is "one hundred fourteen billion, five hundred sixty-two million, eight hundred seventy-three thousand, three hundred forty-four".