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41438124264 = 23315111434361
BaseRepresentation
bin100110100101111001…
…111001100011101000
310221221220010211010010
4212211321321203220
51134331124434024
631011510451520
72664606146625
oct464571714350
9127856124103
1041438124264
1116634817099
128045663ba0
133ba4cbbb74
1420115a534c
151127dacb29
hex9a5e798e8

41438124264 has 32 divisors (see below), whose sum is σ = 104281381440. Its totient is φ = 13721232000.

The previous prime is 41438124239. The next prime is 41438124269. The reversal of 41438124264 is 46242183414.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41438124269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5713557 + ... + 5720804.

It is an arithmetic number, because the mean of its divisors is an integer number (3258793170).

Almost surely, 241438124264 is an apocalyptic number.

It is an amenable number.

41438124264 is an abundant number, since it is smaller than the sum of its proper divisors (62843257176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41438124264 is a wasteful number, since it uses less digits than its factorization.

41438124264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11434521 (or 11434517 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The spelling of 41438124264 in words is "forty-one billion, four hundred thirty-eight million, one hundred twenty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 151 302 453 604 906 1208 1812 3624 11434361 22868722 34303083 45737444 68606166 91474888 137212332 274424664 1726588511 3453177022 5179765533 6906354044 10359531066 13812708088 20719062132 41438124264