Search a number
-
+
34014333431 = 1317153911011
BaseRepresentation
bin11111101011011010…
…011000100111110111
310020210111222011121002
4133223122120213313
51024130132132211
623343113113515
72312623030601
oct375332304767
9106714864532
1034014333431
1113475228171
1267133b889b
133290c64920
141909650171
15d4128103b
hex7eb6989f7

34014333431 has 8 divisors (see below), whose sum is σ = 38785575024. Its totient is φ = 29550913920.

The previous prime is 34014333401. The next prime is 34014333443. The reversal of 34014333431 is 13433341043.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34014333431 is a prime.

It is a super-2 number, since 2×340143334312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34014333394 and 34014333403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014333401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76955285 + ... + 76955726.

It is an arithmetic number, because the mean of its divisors is an integer number (4848196878).

Almost surely, 234014333431 is an apocalyptic number.

34014333431 is a deficient number, since it is larger than the sum of its proper divisors (4771241593).

34014333431 is a wasteful number, since it uses less digits than its factorization.

34014333431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153911041.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 34014333431 its reverse (13433341043), we get a palindrome (47447674474).

The spelling of 34014333431 in words is "thirty-four billion, fourteen million, three hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 13 17 221 153911011 2000843143 2616487187 34014333431