Search a number
-
+
34054433133 = 371795390569
BaseRepresentation
bin11111101101110011…
…010110100101101101
310020220022102110001020
4133231303112211231
51024220413330013
623351104404353
72313620622420
oct375563264555
9106808373036
1034054433133
1113495926716
1267249166b9
133299364966
141910acb9b7
15d44a52623
hex7edcd696d

34054433133 has 16 divisors (see below), whose sum is σ = 54944968320. Its totient is φ = 18314989056.

The previous prime is 34054433117. The next prime is 34054433137. The reversal of 34054433133 is 33133445043.

It is not a de Polignac number, because 34054433133 - 24 = 34054433117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34054433094 and 34054433103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34054433137) 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 15 ways as a sum of consecutive naturals, for example, 47694928 + ... + 47695641.

It is an arithmetic number, because the mean of its divisors is an integer number (3434060520).

Almost surely, 234054433133 is an apocalyptic number.

It is an amenable number.

34054433133 is a deficient number, since it is larger than the sum of its proper divisors (20890535187).

34054433133 is a wasteful number, since it uses less digits than its factorization.

34054433133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95390596.

The product of its (nonzero) digits is 77760, while the sum is 33.

Adding to 34054433133 its reverse (33133445043), we get a palindrome (67187878176).

The spelling of 34054433133 in words is "thirty-four billion, fifty-four million, four hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 7 17 21 51 119 357 95390569 286171707 667733983 1621639673 2003201949 4864919019 11351477711 34054433133