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434144324007 = 3259817597597
BaseRepresentation
bin1100101000101010000…
…01001010100110100111
31112111121021010202010200
412110111001022212213
524103111421332012
6531235415321543
743236333603102
oct6242501124647
91474537122120
10434144324007
11158135175399
12701820802b3
1331c2a4b7364
1417026bad739
15b45e2a53dc
hex651504a9a7

434144324007 has 12 divisors (see below), whose sum is σ = 637726126440. Its totient is φ = 284523963408.

The previous prime is 434144323981. The next prime is 434144324017. The reversal of 434144324007 is 700423441434.

It is not a de Polignac number, because 434144324007 - 220 = 434143275431 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434144324017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 408798268 + ... + 408799329.

It is an arithmetic number, because the mean of its divisors is an integer number (53143843870).

Almost surely, 2434144324007 is an apocalyptic number.

434144324007 is a deficient number, since it is larger than the sum of its proper divisors (203581802433).

434144324007 is a wasteful number, since it uses less digits than its factorization.

434144324007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817597662 (or 817597659 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 434144324007 in words is "four hundred thirty-four billion, one hundred forty-four million, three hundred twenty-four thousand, seven".

Divisors: 1 3 9 59 177 531 817597597 2452792791 7358378373 48238258223 144714774669 434144324007