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430507138345 = 5439532101111
BaseRepresentation
bin1100100001111000011…
…10011001110100101001
31112011012210010120101121
412100330032121310221
524023134311411340
6525434450015241
743050240204214
oct6207416316451
91464183116347
10430507138345
11156639068a29
126b527b77521
133179aab76ab
1416b9db0077b
15b2e9cea94a
hex643c399d29

430507138345 has 16 divisors (see below), whose sum is σ = 529177663872. Its totient is φ = 336043128960.

The previous prime is 430507138339. The next prime is 430507138351. The reversal of 430507138345 is 543831705034.

It is an interprime number because it is at equal distance from previous prime (430507138339) and next prime (430507138351).

It is a de Polignac number, because none of the positive numbers 2k-430507138345 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 845661 + ... + 1255450.

It is an arithmetic number, because the mean of its divisors is an integer number (33073603992).

Almost surely, 2430507138345 is an apocalyptic number.

It is an amenable number.

430507138345 is a deficient number, since it is larger than the sum of its proper divisors (98670525527).

430507138345 is a wasteful number, since it uses less digits than its factorization.

430507138345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102112.

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 430507138345 in words is "four hundred thirty billion, five hundred seven million, one hundred thirty-eight thousand, three hundred forty-five".

Divisors: 1 5 43 215 953 4765 40979 204895 2101111 10505555 90347773 451738865 2002358783 10011793915 86101427669 430507138345