Search a number
-
+
934120492039 = 724310916692437
BaseRepresentation
bin11011001011111011110…
…10111000110000000111
310022022010110111200001201
431211331322320300013
5110301034321221124
61553043512003331
7124326243113500
oct15457572706007
93268113450051
10934120492039
11330181735549
12131057090547
136a11970c777
14332d6b8bba7
1519472c7c144
hexd97deb8c07

934120492039 has 48 divisors (see below), whose sum is σ = 1123234384800. Its totient is φ = 774097502976.

The previous prime is 934120492031. The next prime is 934120492057. The reversal of 934120492039 is 930294021439.

It is a happy number.

It is not a de Polignac number, because 934120492039 - 23 = 934120492031 is a prime.

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 934120492039.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (934120492031) 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 47 ways as a sum of consecutive naturals, for example, 383306329 + ... + 383308765.

It is an arithmetic number, because the mean of its divisors is an integer number (23400716350).

Almost surely, 2934120492039 is an apocalyptic number.

934120492039 is a deficient number, since it is larger than the sum of its proper divisors (189113892761).

934120492039 is a wasteful number, since it uses less digits than its factorization.

934120492039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 934120492039 in words is "nine hundred thirty-four billion, one hundred twenty million, four hundred ninety-two thousand, thirty-nine".

Divisors: 1 7 43 49 109 301 763 1669 2107 2437 4687 5341 11683 17059 32809 71767 81781 104791 119413 181921 229663 265633 502369 733537 1273447 1859431 3516583 4067353 5134759 7822603 8914129 11422219 13016017 28471471 54758221 79955533 174896179 199300297 383307547 443341477 559688731 1224273253 3103390339 8569912771 19063683511 21723732373 133445784577 934120492039