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413430014125224 = 23325742083529517
BaseRepresentation
bin101111000000000110010110…
…1001000011010010010101000
32000012211112010112012112221200
41132000030231020122102220
5413142114132104001344
64023143043154404200
7153040222105314225
oct13600145510322250
92005745115175850
10413430014125224
1110a80575896a258
123a45160b290660
131498c38ab139c5
147414195ab694c
1532be3e4178069
hex178032d21a4a8

413430014125224 has 24 divisors (see below), whose sum is σ = 1119706288256010. Its totient is φ = 137810004708384.

The previous prime is 413430014125213. The next prime is 413430014125253. The reversal of 413430014125224 is 422521410034314.

413430014125224 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 300 + 1 + 4 + 125 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 327140220132324 + 86289793992900 = 18087018^2 + 9289230^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2871041764687 + ... + 2871041764830.

Almost surely, 2413430014125224 is an apocalyptic number.

It is an amenable number.

413430014125224 is an abundant number, since it is smaller than the sum of its proper divisors (706276274130786).

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

413430014125224 is a wasteful number, since it uses less digits than its factorization.

413430014125224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742083529529 (or 5742083529522 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 413430014125224 its reverse (422521410034314), we get a palindrome (835951424159538).

The spelling of 413430014125224 in words is "four hundred thirteen trillion, four hundred thirty billion, fourteen million, one hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5742083529517 11484167059034 17226250588551 22968334118068 34452501177102 45936668236136 51678751765653 68905002354204 103357503531306 137810004708408 206715007062612 413430014125224