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40442736080 = 245505534201
BaseRepresentation
bin100101101010100100…
…110010110111010000
310212101112010212020002
4211222210302313100
51130311320023310
630325032105132
72631131404355
oct455244626720
9125345125202
1040442736080
111617396322a
127a082351a8
133a76a07b86
141d592d862c
1510ba7dcda5
hex96a932dd0

40442736080 has 20 divisors (see below), whose sum is σ = 94029361572. Its totient is φ = 16177094400.

The previous prime is 40442735999. The next prime is 40442736101. The reversal of 40442736080 is 8063724404.

It can be written as a sum of positive squares in 2 ways, for example, as 6555817024 + 33886919056 = 80968^2 + 184084^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×404427360802 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 252767021 + ... + 252767180.

Almost surely, 240442736080 is an apocalyptic number.

40442736080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40442736080 is an abundant number, since it is smaller than the sum of its proper divisors (53586625492).

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

40442736080 is a wasteful number, since it uses less digits than its factorization.

40442736080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505534214 (or 505534208 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 40442736080 in words is "forty billion, four hundred forty-two million, seven hundred thirty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 505534201 1011068402 2022136804 2527671005 4044273608 5055342010 8088547216 10110684020 20221368040 40442736080