Search a number
-
+
31434300431 = 311439230239
BaseRepresentation
bin11101010001101000…
…010101110000001111
310000010201011220200022
4131101220111300033
51003334140103211
622235110052355
72161654100522
oct352150256017
9100121156608
1031434300431
1112370930196
12611334a0bb
132c6c593091
141742b28bb9
15c3e9e6bdb
hex751a15c0f

31434300431 has 8 divisors (see below), whose sum is σ = 31607347200. Its totient is φ = 31261715640.

The previous prime is 31434300409. The next prime is 31434300437. The reversal of 31434300431 is 13400343413.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 31434300431 - 26 = 31434300367 is a prime.

It is a super-2 number, since 2×314343004312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31434300431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31434300437) 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 7 ways as a sum of consecutive naturals, for example, 21410 + ... + 251648.

It is an arithmetic number, because the mean of its divisors is an integer number (3950918400).

Almost surely, 231434300431 is an apocalyptic number.

31434300431 is a deficient number, since it is larger than the sum of its proper divisors (173046769).

31434300431 is a wasteful number, since it uses less digits than its factorization.

31434300431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230989.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 31434300431 its reverse (13400343413), we get a palindrome (44834643844).

The spelling of 31434300431 in words is "thirty-one billion, four hundred thirty-four million, three hundred thousand, four hundred thirty-one".

Divisors: 1 311 439 136529 230239 71604329 101074921 31434300431