Search a number
-
+
41207625945 = 3258689105389
BaseRepresentation
bin100110011000001010…
…100111100011011001
310221100211102021212100
4212120022213203121
51133343123012240
630532554234013
72656110020103
oct463012474331
9127324367770
1041207625945
11165266a3312
127ba0425909
133b69316b25
141dccb24573
151112a2be30
hex9982a78d9

41207625945 has 24 divisors (see below), whose sum is σ = 71435449800. Its totient is φ = 21974662656.

The previous prime is 41207625919. The next prime is 41207625947. The reversal of 41207625945 is 54952670214.

41207625945 is a `hidden beast` number, since 4 + 12 + 0 + 7 + 625 + 9 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18251739801 + 22955886144 = 135099^2 + 151512^2 .

It is not a de Polignac number, because 41207625945 - 25 = 41207625913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 41207625945.

It is not an unprimeable number, because it can be changed into a prime (41207625947) 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 23 ways as a sum of consecutive naturals, for example, 338311 + ... + 443699.

It is an arithmetic number, because the mean of its divisors is an integer number (2976477075).

Almost surely, 241207625945 is an apocalyptic number.

41207625945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41207625945 is a deficient number, since it is larger than the sum of its proper divisors (30227823855).

41207625945 is a wasteful number, since it uses less digits than its factorization.

41207625945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114089 (or 114086 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 41207625945 in words is "forty-one billion, two hundred seven million, six hundred twenty-five thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 8689 26067 43445 78201 105389 130335 316167 391005 526945 948501 1580835 4742505 915725021 2747175063 4578625105 8241525189 13735875315 41207625945