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13435461431 = 719234392109
BaseRepresentation
bin11001000001101000…
…01101111100110111
31021200100012011020122
430200310031330313
5210003434231211
610101104322155
7653641352330
oct144064157467
937610164218
1013435461431
115774a71037
12272b61335b
13136167b0a2
14916521287
155397bc6db
hex320d0df37

13435461431 has 16 divisors (see below), whose sum is σ = 16865702400. Its totient is φ = 10435648608.

The previous prime is 13435461427. The next prime is 13435461433. The reversal of 13435461431 is 13416453431.

It is a happy number.

It is not a de Polignac number, because 13435461431 - 22 = 13435461427 is a prime.

It is a super-2 number, since 2×134354614312 (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 = 13435461391 and 13435461400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13435461433) 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, 2192996 + ... + 2199113.

It is an arithmetic number, because the mean of its divisors is an integer number (1054106400).

Almost surely, 213435461431 is an apocalyptic number.

13435461431 is a deficient number, since it is larger than the sum of its proper divisors (3430240969).

13435461431 is a wasteful number, since it uses less digits than its factorization.

13435461431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392158.

The product of its digits is 51840, while the sum is 35.

The spelling of 13435461431 in words is "thirteen billion, four hundred thirty-five million, four hundred sixty-one thousand, four hundred thirty-one".

Divisors: 1 7 19 23 133 161 437 3059 4392109 30744763 83450071 101018507 584150497 707129549 1919351633 13435461431