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41424332040 = 23335713421493
BaseRepresentation
bin100110100101000101…
…010010010100001000
310221220221012002202000
4212211011102110020
51134314112111130
631010255111000
72664351004230
oct464505222410
9127827162660
1041424332040
1116627a56863
128040b12460
133ba21a01a0
14200d814cc0
151126a86260
hex9a5152508

41424332040 has 256 divisors, whose sum is σ = 169946380800. Its totient is φ = 8740058112.

The previous prime is 41424332039. The next prime is 41424332041. The reversal of 41424332040 is 4023342414.

It is a happy number.

41424332040 is a `hidden beast` number, since 4 + 1 + 424 + 33 + 204 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41424332039) and next prime (41424332041).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41424331995 and 41424332013.

It is not an unprimeable number, because it can be changed into a prime (41424332041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112467 + ... + 309026.

It is an arithmetic number, because the mean of its divisors is an integer number (663853050).

Almost surely, 241424332040 is an apocalyptic number.

41424332040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41424332040 is an abundant number, since it is smaller than the sum of its proper divisors (128522048760).

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

41424332040 is a wasteful number, since it uses less digits than its factorization.

41424332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421533 (or 421523 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 41424332040 its reverse (4023342414), we get a palindrome (45447674454).

The spelling of 41424332040 in words is "forty-one billion, four hundred twenty-four million, three hundred thirty-two thousand, forty".