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200424414042 = 23410957112913
BaseRepresentation
bin1011101010101000111…
…0011101101101011010
3201011022220220011010000
42322222032131231122
511240432122222132
6232023530433430
720323463260506
oct2725216355532
9634286804100
10200424414042
1177aaa3a1806
1232a15892876
1315b9122b048
1499b45dd306
15533085b87c
hex2eaa39db5a

200424414042 has 40 divisors (see below), whose sum is σ = 449144115156. Its totient is φ = 66801449088.

The previous prime is 200424414019. The next prime is 200424414059. The reversal of 200424414042 is 240414424002.

200424414042 is a `hidden beast` number, since 200 + 4 + 2 + 4 + 414 + 0 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 189504373041 + 10920041001 = 435321^2 + 104499^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 200424413997 and 200424414015.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1718578 + ... + 1831490.

Almost surely, 2200424414042 is an apocalyptic number.

200424414042 is an abundant number, since it is smaller than the sum of its proper divisors (248719701114).

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

200424414042 is a wasteful number, since it uses less digits than its factorization.

200424414042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123884 (or 123875 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 200424414042 its reverse (240414424002), we get a palindrome (440838838044).

The spelling of 200424414042 in words is "two hundred billion, four hundred twenty-four million, four hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 10957 21914 32871 65742 98613 112913 197226 225826 295839 338739 591678 677478 887517 1016217 1775034 2032434 3048651 6097302 9145953 18291906 1237187741 2474375482 3711563223 7423126446 11134689669 22269379338 33404069007 66808138014 100212207021 200424414042