Search a number
-
+
342132231243 = 31159274164109
BaseRepresentation
bin1001111101010001010…
…10111000110001001011
31012201002210011010122010
410332220222320301023
521101141322344433
6421101241031003
733501232660635
oct4765052706113
91181083133563
10342132231243
111221087a8220
1256383485463
132635587575a
14127b8989a55
158d76477e63
hex4fa8ab8c4b

342132231243 has 32 divisors (see below), whose sum is σ = 506274105600. Its totient is φ = 203760867200.

The previous prime is 342132231229. The next prime is 342132231289.

It is a happy number.

342132231243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342132231243 - 24 = 342132231227 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 342132231243.

It is not an unprimeable number, because it can be changed into a prime (342132230243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5304673 + ... + 5368781.

It is an arithmetic number, because the mean of its divisors is an integer number (15821065800).

Almost surely, 2342132231243 is an apocalyptic number.

342132231243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

342132231243 is a deficient number, since it is larger than the sum of its proper divisors (164141874357).

342132231243 is a wasteful number, since it uses less digits than its factorization.

342132231243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66923.

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 342132 and 231243, that added together give a palindrome (573375).

The spelling of 342132231243 in words is "three hundred forty-two billion, one hundred thirty-two million, two hundred thirty-one thousand, two hundred forty-three".

Divisors: 1 3 11 33 59 177 649 1947 2741 8223 30151 64109 90453 161719 192327 485157 705199 1778909 2115597 3782431 5336727 11347293 41606741 124820223 175722769 527168307 1932950459 5798851377 10367643371 31102930113 114044077081 342132231243