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41390930880 = 26335131753409
BaseRepresentation
bin100110100011000101…
…110111101111000000
310221211121100010222000
4212203011313233000
51134232034242010
631003103144000
72663464051605
oct464305675700
9127747303860
1041390930880
1116610112aa2
1280318a5000
133b982a70a0
1420091dc6ac
151123b897c0
hex9a3177bc0

41390930880 has 896 divisors, whose sum is σ = 170056454400. Its totient is φ = 9385279488.

The previous prime is 41390930873. The next prime is 41390930887. The reversal of 41390930880 is 8803909314.

41390930880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41390930873) and next prime (41390930887).

It is a super-2 number, since 2×413909308802 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41390930887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101200116 + ... + 101200524.

It is an arithmetic number, because the mean of its divisors is an integer number (189795150).

Almost surely, 241390930880 is an apocalyptic number.

41390930880 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 41390930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85028227200).

41390930880 is an abundant number, since it is smaller than the sum of its proper divisors (128665523520).

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

41390930880 is a wasteful number, since it uses less digits than its factorization.

41390930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 41390930880 in words is "forty-one billion, three hundred ninety million, nine hundred thirty thousand, eight hundred eighty".