Search a number
-
+
13542151431 = 3172934726387
BaseRepresentation
bin11001001110010110…
…01101010100000111
31021221202221120102010
430213023031110013
5210213242321211
610115435145303
7656405250024
oct144713152407
937852846363
1013542151431
11581a211896
12275b2a5233
13137a7c4973
1492677454b
15543d444a6
hex3272cd507

13542151431 has 32 divisors (see below), whose sum is σ = 19835331840. Its totient is φ = 8180082176.

The previous prime is 13542151411. The next prime is 13542151453. The reversal of 13542151431 is 13415124531.

13542151431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13542151431 - 215 = 13542118663 is a prime.

It is a super-2 number, since 2×135421514312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13542151411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500020 + ... + 526406.

It is an arithmetic number, because the mean of its divisors is an integer number (619854120).

Almost surely, 213542151431 is an apocalyptic number.

13542151431 is a deficient number, since it is larger than the sum of its proper divisors (6293180409).

13542151431 is a wasteful number, since it uses less digits than its factorization.

13542151431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26783.

The product of its digits is 7200, while the sum is 30.

Adding to 13542151431 its reverse (13415124531), we get a palindrome (26957275962).

The spelling of 13542151431 in words is "thirteen billion, five hundred forty-two million, one hundred fifty-one thousand, four hundred thirty-one".

Divisors: 1 3 17 29 51 87 347 493 1041 1479 5899 10063 17697 26387 30189 79161 171071 448579 513213 765223 1345737 2295669 9156289 13008791 27468867 39026373 155656913 265532381 466970739 796597143 4514050477 13542151431