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405113431 = 4615771523
BaseRepresentation
bin11000001001011…
…000101001010111
31001020021220011011
4120021120221113
51312202112211
6104110553051
713016256502
oct3011305127
91036256134
10405113431
11198748798
12b3808787
1365c11bb8
143bb36139
1525873921
hex18258a57

405113431 has 8 divisors (see below), whose sum is σ = 406962864. Its totient is φ = 403269120.

The previous prime is 405113413. The next prime is 405113437. The reversal of 405113431 is 134311504.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-405113431 is a prime.

It is a super-2 number, since 2×4051134312 = 328233783953183522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405113437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265236 + ... + 266758.

It is an arithmetic number, because the mean of its divisors is an integer number (50870358).

Almost surely, 2405113431 is an apocalyptic number.

405113431 is a deficient number, since it is larger than the sum of its proper divisors (1849433).

405113431 is a wasteful number, since it uses less digits than its factorization.

405113431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 405113431 is about 20127.4298160495. The cubic root of 405113431 is about 739.9326886668.

Adding to 405113431 its reverse (134311504), we get a palindrome (539424935).

The spelling of 405113431 in words is "four hundred five million, one hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 461 577 1523 265997 702103 878771 405113431