Search a number
-
+
41145016407 = 31147132719991
BaseRepresentation
bin100110010100011011…
…110010000001010111
310221012110121101201120
4212110123302001113
51133231111011112
630522440255023
72654416604025
oct462433620127
9127173541646
1041145016407
11164a431a8a0
127b83471473
133b59365171
141dc46a7715
15110c2b0e8c
hex9946f2057

41145016407 has 32 divisors (see below), whose sum is σ = 61169762304. Its totient is φ = 24386200800.

The previous prime is 41145016403. The next prime is 41145016417. The reversal of 41145016407 is 70461054114.

It is not a de Polignac number, because 41145016407 - 22 = 41145016403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41145016403) 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 31 ways as a sum of consecutive naturals, for example, 2048182 + ... + 2068172.

It is an arithmetic number, because the mean of its divisors is an integer number (1911555072).

Almost surely, 241145016407 is an apocalyptic number.

41145016407 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

41145016407 is a deficient number, since it is larger than the sum of its proper divisors (20024745897).

41145016407 is a wasteful number, since it uses less digits than its factorization.

41145016407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21379.

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 41145016407 in words is "forty-one billion, one hundred forty-five million, sixteen thousand, four hundred seven".

Divisors: 1 3 11 33 47 141 517 1327 1551 3981 14597 19991 43791 59973 62369 187107 219901 659703 686059 939577 2058177 2818731 10335347 26528057 31006041 79584171 291808627 875425881 1246818679 3740456037 13715005469 41145016407