Search a number
-
+
41046642405 = 335304049203
BaseRepresentation
bin100110001110100100…
…100000111011100101
310220221121111110222000
4212032210200323211
51133030420024110
630505003555513
72652113463246
oct461644407345
9126847443860
1041046642405
1116453839a6a
127b5652bb99
133b41b707b2
141db55baccd
15110382d1c0
hex98e920ee5

41046642405 has 16 divisors (see below), whose sum is σ = 72971808960. Its totient is φ = 21891542544.

The previous prime is 41046642401. The next prime is 41046642437. The reversal of 41046642405 is 50424664014.

41046642405 is a `hidden beast` number, since 4 + 1 + 0 + 4 + 6 + 642 + 4 + 0 + 5 = 666.

It is not a de Polignac number, because 41046642405 - 22 = 41046642401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41046642405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41046642401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152024467 + ... + 152024736.

It is an arithmetic number, because the mean of its divisors is an integer number (4560738060).

Almost surely, 241046642405 is an apocalyptic number.

41046642405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41046642405 is a deficient number, since it is larger than the sum of its proper divisors (31925166555).

41046642405 is a wasteful number, since it uses less digits than its factorization.

41046642405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304049217 (or 304049211 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 41046642405 in words is "forty-one billion, forty-six million, six hundred forty-two thousand, four hundred five".

Divisors: 1 3 5 9 15 27 45 135 304049203 912147609 1520246015 2736442827 4560738045 8209328481 13682214135 41046642405