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40306518840 = 23357292696151
BaseRepresentation
bin100101100010011101…
…001010101100111000
310212001000211022022010
4211202131022230320
51130021432100330
630303324325520
72624555520510
oct454235125470
9125030738263
1040306518840
1116103a851a5
12798a6a38a0
133a54723563
141d4519a840
1510ad8823b0
hex96274ab38

40306518840 has 256 divisors, whose sum is σ = 143513856000. Its totient is φ = 8860723200.

The previous prime is 40306518817. The next prime is 40306518853. The reversal of 40306518840 is 4881560304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6549765 + ... + 6555915.

It is an arithmetic number, because the mean of its divisors is an integer number (560601000).

Almost surely, 240306518840 is an apocalyptic number.

40306518840 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 40306518840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71756928000).

40306518840 is an abundant number, since it is smaller than the sum of its proper divisors (103207337160).

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

40306518840 is a wasteful number, since it uses less digits than its factorization.

40306518840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6470 (or 6466 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 40306518840 in words is "forty billion, three hundred six million, five hundred eighteen thousand, eight hundred forty".