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432013431 = 31914950867
BaseRepresentation
bin11001110000000…
…000000001110111
31010002220120000110
4121300000001313
51341043412211
6110511314103
713464024243
oct3160000167
91102816013
10432013431
112019510a3
1210081b933
136b66cb65
1441539423
1527dd8ea6
hex19c00077

432013431 has 16 divisors (see below), whose sum is σ = 610416000. Its totient is φ = 271014048.

The previous prime is 432013429. The next prime is 432013447. The reversal of 432013431 is 134310234.

It is not a de Polignac number, because 432013431 - 21 = 432013429 is a prime.

It is a super-2 number, since 2×4320134312 = 373271209128783522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 432013398 and 432013407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432013831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16941 + ... + 33926.

It is an arithmetic number, because the mean of its divisors is an integer number (38151000).

Almost surely, 2432013431 is an apocalyptic number.

432013431 is a deficient number, since it is larger than the sum of its proper divisors (178402569).

432013431 is a wasteful number, since it uses less digits than its factorization.

432013431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51038.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 432013431 is about 20784.9327879596. The cubic root of 432013431 is about 755.9604641148.

Adding to 432013431 its reverse (134310234), we get a palindrome (566323665).

The spelling of 432013431 in words is "four hundred thirty-two million, thirteen thousand, four hundred thirty-one".

Divisors: 1 3 19 57 149 447 2831 8493 50867 152601 966473 2899419 7579183 22737549 144004477 432013431