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40939900848 = 24337112127881
BaseRepresentation
bin100110001000001101…
…010100111110110000
310220200011122110002000
4212020031110332300
51132321103311343
630450232054000
72646346262340
oct461015247660
9126604573060
1040939900848
11163a9563500
127b26834300
133b25a09602
141da5352d20
1510e9295ed3
hex988354fb0

40939900848 has 480 divisors, whose sum is σ = 148950466560. Its totient is φ = 10538035200.

The previous prime is 40939900817. The next prime is 40939900849. The reversal of 40939900848 is 84800993904.

It is a super-2 number, since 2×409399008482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40939900794 and 40939900803.

It is not an unprimeable number, because it can be changed into a prime (40939900849) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46469368 + ... + 46470248.

It is an arithmetic number, because the mean of its divisors is an integer number (310313472).

Almost surely, 240939900848 is an apocalyptic number.

40939900848 is a gapful number since it is divisible by the number (48) 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 40939900848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74475233280).

40939900848 is an abundant number, since it is smaller than the sum of its proper divisors (108010565712).

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

40939900848 is a wasteful number, since it uses less digits than its factorization.

40939900848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 40939900848 in words is "forty billion, nine hundred thirty-nine million, nine hundred thousand, eight hundred forty-eight".