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4195038041 = 41283107281
BaseRepresentation
bin1111101000001011…
…0011001101011001
3101211100201000100022
43322002303031121
532042412204131
61532134120225
7205646143415
oct37202631531
911740630308
104195038041
111862a98197
12990ab0075
1351b15c33c
142bb203d45
1519844e37b
hexfa0b3359

4195038041 has 24 divisors (see below), whose sum is σ = 4407957792. Its totient is φ = 3991366400.

The previous prime is 4195038037. The next prime is 4195038121. The reversal of 4195038041 is 1408305914.

It is not a de Polignac number, because 4195038041 - 22 = 4195038037 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4195037992 and 4195038010.

It is not an unprimeable number, because it can be changed into a prime (4195031041) 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, 14928821 + ... + 14929101.

It is an arithmetic number, because the mean of its divisors is an integer number (183664908).

Almost surely, 24195038041 is an apocalyptic number.

4195038041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4195038041 is a deficient number, since it is larger than the sum of its proper divisors (212919751).

4195038041 is a wasteful number, since it uses less digits than its factorization.

4195038041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 4195038041 is about 64769.1133257203. The cubic root of 4195038041 is about 1612.7930173275.

The spelling of 4195038041 in words is "four billion, one hundred ninety-five million, thirty-eight thousand, forty-one".

Divisors: 1 41 83 107 281 1681 3403 4387 8881 11521 23323 30067 139523 179867 364121 472361 956243 1232747 2495561 14928961 39205963 50542627 102318001 4195038041