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6240400191 = 33231125933
BaseRepresentation
bin1011100111111010…
…01111001100111111
3121002220102011202000
411303331033030333
5100240020301231
62511121233343
7310433345364
oct56375171477
917086364660
106240400191
1127125a8033
121261a92853
13785b29abc
14432b0a46b
15267cc26e6
hex173f4f33f

6240400191 has 8 divisors (see below), whose sum is σ = 9245037360. Its totient is φ = 4160266776.

The previous prime is 6240400189. The next prime is 6240400217. The reversal of 6240400191 is 1910040426.

6240400191 is a `hidden beast` number, since 6 + 240 + 400 + 19 + 1 = 666.

It is not a de Polignac number, because 6240400191 - 21 = 6240400189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 231125933 = 6240400191 / (6 + 2 + 4 + 0 + 4 + 0 + 0 + 1 + 9 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6240400141) 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, 115562940 + ... + 115562993.

It is an arithmetic number, because the mean of its divisors is an integer number (1155629670).

Almost surely, 26240400191 is an apocalyptic number.

6240400191 is a deficient number, since it is larger than the sum of its proper divisors (3004637169).

6240400191 is a wasteful number, since it uses less digits than its factorization.

6240400191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231125942 (or 231125936 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6240400191 is about 78996.2036492894. The cubic root of 6240400191 is about 1841.0721727539.

The spelling of 6240400191 in words is "six billion, two hundred forty million, four hundred thousand, one hundred ninety-one".

Divisors: 1 3 9 27 231125933 693377799 2080133397 6240400191