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12434961417 = 329491291101
BaseRepresentation
bin10111001010010111…
…00111010000001001
31012002121120111020120
423211023213100021
5200431322231132
65413524213453
7620102266554
oct134513472011
935077514216
1012434961417
11530123661a
1224b053a289
1312322c7448
1485d6c369b
154cba3d02c
hex2e52e7409

12434961417 has 16 divisors (see below), whose sum is σ = 17186662080. Its totient is φ = 7987784000.

The previous prime is 12434961391. The next prime is 12434961421. The reversal of 12434961417 is 71416943421.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12434961417 - 210 = 12434960393 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (12434961467) 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, 102834 + ... + 188267.

It is an arithmetic number, because the mean of its divisors is an integer number (1074166380).

Almost surely, 212434961417 is an apocalyptic number.

It is an amenable number.

12434961417 is a deficient number, since it is larger than the sum of its proper divisors (4751700663).

12434961417 is a wasteful number, since it uses less digits than its factorization.

12434961417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291624.

The product of its digits is 145152, while the sum is 42.

The spelling of 12434961417 in words is "twelve billion, four hundred thirty-four million, nine hundred sixty-one thousand, four hundred seventeen".

Divisors: 1 3 29 87 491 1473 14239 42717 291101 873303 8441929 25325787 142930591 428791773 4144987139 12434961417