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405214131 = 3745742223
BaseRepresentation
bin11000001001110…
…001001110110011
31001020111000021210
4120021301032303
51312213323011
6104113051203
713020156210
oct3011611663
91036430253
10405214131
11198807413
12b3856b03
1365c4899a
143bb60b07
15258936a6
hex182713b3

405214131 has 16 divisors (see below), whose sum is σ = 618834944. Its totient is φ = 231038784.

The previous prime is 405214127. The next prime is 405214141. The reversal of 405214131 is 131412504.

It is not a de Polignac number, because 405214131 - 22 = 405214127 is a prime.

It is a super-2 number, since 2×4052141312 = 328396983924170322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 405214098 and 405214107.

It is not an unprimeable number, because it can be changed into a prime (405214141) 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, 11515 + ... + 30708.

It is an arithmetic number, because the mean of its divisors is an integer number (38677184).

Almost surely, 2405214131 is an apocalyptic number.

405214131 is a deficient number, since it is larger than the sum of its proper divisors (213620813).

405214131 is a wasteful number, since it uses less digits than its factorization.

405214131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42690.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 405214131 is about 20129.9312219391. The cubic root of 405214131 is about 739.9939925249.

Adding to 405214131 its reverse (131412504), we get a palindrome (536626635).

The spelling of 405214131 in words is "four hundred five million, two hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 7 21 457 1371 3199 9597 42223 126669 295561 886683 19295911 57887733 135071377 405214131