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200400444234 = 23229586965413
BaseRepresentation
bin1011101010100011001…
…1000001101101001010
3201011021020210100201100
42322220303001231022
511240410003203414
6232021313002230
720323052445624
oct2725063015512
9634236710640
10200400444234
1177a9790a951
1232a09853376
1315b89287a23
1499b135dc14
15532d6c4609
hex2ea8cc1b4a

200400444234 has 48 divisors (see below), whose sum is σ = 449256810600. Its totient is φ = 64484719488.

The previous prime is 200400444227. The next prime is 200400444247. The reversal of 200400444234 is 432444004002.

It is a happy number.

200400444234 is a `hidden beast` number, since 20 + 0 + 400 + 4 + 4 + 4 + 234 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108771338025 + 91629106209 = 329805^2 + 302703^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 200400444198 and 200400444207.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3030912 + ... + 3096324.

Almost surely, 2200400444234 is an apocalyptic number.

200400444234 is an abundant number, since it is smaller than the sum of its proper divisors (248856366366).

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

200400444234 is a wasteful number, since it uses less digits than its factorization.

200400444234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71319 (or 71316 counting only the distinct ones).

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

Adding to 200400444234 its reverse (432444004002), we get a palindrome (632844448236).

The spelling of 200400444234 in words is "two hundred billion, four hundred million, four hundred forty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 5869 11738 17607 35214 52821 65413 105642 130826 170201 196239 340402 392478 510603 588717 1021206 1177434 1531809 1896977 3063618 3793954 5690931 11381862 17072793 34145586 383908897 767817794 1151726691 2303453382 3455180073 6910360146 11133358013 22266716026 33400074039 66800148078 100200222117 200400444234