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431044345000 = 235486208869
BaseRepresentation
bin1100100010111000011…
…11101011110010101000
31112012121012222111101101
412101130033223302220
524030234323020000
6530004040131144
743066452323323
oct6213417536250
91465535874341
10431044345000
11156894328275
126b657a66ab4
1331855198a59
1416c111bd7ba
15b32c062e6a
hex645c3ebca8

431044345000 has 40 divisors (see below), whose sum is σ = 1009936912050. Its totient is φ = 172417736000.

The previous prime is 431044344979. The next prime is 431044345001. The reversal of 431044345000 is 543440134.

It can be written as a sum of positive squares in 5 ways, for example, as 495774756 + 430548570244 = 22266^2 + 656162^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 431044345000.

It is not an unprimeable number, because it can be changed into a prime (431044345001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 43099435 + ... + 43109434.

Almost surely, 2431044345000 is an apocalyptic number.

431044345000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431044345000 is an abundant number, since it is smaller than the sum of its proper divisors (578892567050).

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

431044345000 is an equidigital number, since it uses as much as digits as its factorization.

431044345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86208895 (or 86208876 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 431044345000 its reverse (543440134), we get a palindrome (431587785134).

The spelling of 431044345000 in words is "four hundred thirty-one billion, forty-four million, three hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 86208869 172417738 344835476 431044345 689670952 862088690 1724177380 2155221725 3448354760 4310443450 8620886900 10776108625 17241773800 21552217250 43104434500 53880543125 86208869000 107761086250 215522172500 431044345000