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20442400434 = 234126187657
BaseRepresentation
bin10011000010011101…
…100100011010110010
31221202122222112120000
4103002131210122302
5313331223303214
613220251330430
71322403352041
oct230235443262
957678875500
1020442400434
118740225015
123b66150a16
131c0a243541
14dbcd66558
157e9a07809
hex4c27646b2

20442400434 has 20 divisors (see below), whose sum is σ = 45806119854. Its totient is φ = 6814133424.

The previous prime is 20442400393. The next prime is 20442400471. The reversal of 20442400434 is 43400424402.

It is a happy number.

20442400434 is a `hidden beast` number, since 204 + 4 + 24 + 0 + 0 + 434 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20433844809 + 8555625 = 142947^2 + 2925^2 .

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 = 20442400398 and 20442400407.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 63093667 + ... + 63093990.

Almost surely, 220442400434 is an apocalyptic number.

20442400434 is an abundant number, since it is smaller than the sum of its proper divisors (25363719420).

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

20442400434 is a wasteful number, since it uses less digits than its factorization.

20442400434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126187671 (or 126187662 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 20442400434 its reverse (43400424402), we get a palindrome (63842824836).

The spelling of 20442400434 in words is "twenty billion, four hundred forty-two million, four hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 126187657 252375314 378562971 757125942 1135688913 2271377826 3407066739 6814133478 10221200217 20442400434