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13000434419 = 77938361381
BaseRepresentation
bin11000001101110001…
…01110001011110011
31020120000121111101002
430012320232023303
5203111102400134
65550004232215
7640106604110
oct140670561363
936500544332
1013000434419
115571451885
12262999b66b
1312c24c465b
148b483d907
155114da87e
hex306e2e2f3

13000434419 has 16 divisors (see below), whose sum is σ = 15085240320. Its totient is φ = 10973270880.

The previous prime is 13000434407. The next prime is 13000434427. The reversal of 13000434419 is 91443400031.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13000434419 is a prime.

It is a super-2 number, since 2×130004344192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13000434391 and 13000434400.

It is not an unprimeable number, because it can be changed into a prime (13000430419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181109 + ... + 242489.

It is an arithmetic number, because the mean of its divisors is an integer number (942827520).

Almost surely, 213000434419 is an apocalyptic number.

13000434419 is a deficient number, since it is larger than the sum of its proper divisors (2084805901).

13000434419 is an equidigital number, since it uses as much as digits as its factorization.

13000434419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61850.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 13000434419 in words is "thirteen billion, four hundred thirty-four thousand, four hundred nineteen".

Divisors: 1 7 79 383 553 2681 30257 61381 211799 429667 4849099 23508923 33943693 164562461 1857204917 13000434419