Search a number
-
+
42140933406 = 232111316371769
BaseRepresentation
bin100111001111110010…
…111001110100011110
311000202212121020000100
4213033302321310132
51142301034332111
631205334241530
73021202011105
oct471762716436
9130685536010
1042140933406
1116965504aa0
128200ab62a6
133c877a2a70
14207aa7103c
151169937756
hex9cfcb9d1e

42140933406 has 48 divisors (see below), whose sum is σ = 107267837040. Its totient is φ = 11787672960.

The previous prime is 42140933399. The next prime is 42140933407. The reversal of 42140933406 is 60433904124.

It is a happy number.

42140933406 is a `hidden beast` number, since 4 + 214 + 0 + 9 + 33 + 406 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42140933407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8183311 + ... + 8188458.

It is an arithmetic number, because the mean of its divisors is an integer number (2234746605).

Almost surely, 242140933406 is an apocalyptic number.

42140933406 is an abundant number, since it is smaller than the sum of its proper divisors (65126903634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42140933406 is a wasteful number, since it uses less digits than its factorization.

42140933406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16371801 (or 16371798 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 42140933406 in words is "forty-two billion, one hundred forty million, nine hundred thirty-three thousand, four hundred six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 16371769 32743538 49115307 98230614 147345921 180089459 212832997 294691842 360178918 425665994 540268377 638498991 1080536754 1276997982 1620805131 1915496973 2341162967 3241610262 3830993946 4682325934 7023488901 14046977802 21070466703 42140933406