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40422896640 = 2103357371129
BaseRepresentation
bin100101101001011001…
…000111010000000000
310212100010210220122000
4211221121013100000
51130241230143030
630323042544000
72630500644420
oct455131072000
9125303726560
1040422896640
11161637425a5
127a01668000
133a7287c869
141d56812480
1510b8bbe860
hex969647400

40422896640 has 704 divisors, whose sum is σ = 168764505600. Its totient is φ = 8981839872.

The previous prime is 40422896629. The next prime is 40422896659. The reversal of 40422896640 is 4669822404.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 35803596 + ... + 35804724.

Almost surely, 240422896640 is an apocalyptic number.

40422896640 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 40422896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84382252800).

40422896640 is an abundant number, since it is smaller than the sum of its proper divisors (128341608960).

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

40422896640 is a wasteful number, since it uses less digits than its factorization.

40422896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

It can be divided in two parts, 40422896 and 640, that added together give a triangular number (40423536 = T8991).

The spelling of 40422896640 in words is "forty billion, four hundred twenty-two million, eight hundred ninety-six thousand, six hundred forty".