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41370831360 = 2932515711437
BaseRepresentation
bin100110100001111001…
…001100101000000000
310221210012111222121100
4212201321030220000
51134211413100420
631001104254400
72663131156455
oct464171145000
9127705458540
1041370831360
11165aa834a21
128027011400
133b9408a591
14200668982c
151122019190
hex9a1e4ca00

41370831360 has 240 divisors, whose sum is σ = 144204035976. Its totient is φ = 10960994304.

The previous prime is 41370831353. The next prime is 41370831421. The reversal of 41370831360 is 6313807314.

It can be written as a sum of positive squares in 4 ways, for example, as 25227604224 + 16143227136 = 158832^2 + 127056^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3611562 + ... + 3622998.

Almost surely, 241370831360 is an apocalyptic number.

41370831360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41370831360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72102017988).

41370831360 is an abundant number, since it is smaller than the sum of its proper divisors (102833204616).

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

41370831360 is a wasteful number, since it uses less digits than its factorization.

41370831360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11623 (or 11604 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 41370831360 in words is "forty-one billion, three hundred seventy million, eight hundred thirty-one thousand, three hundred sixty".