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40424823900 = 22355212713099
BaseRepresentation
bin100101101001100000…
…011101110001011100
310212100021102211100000
4211221200131301130
51130242223331100
630323152134300
72630523222306
oct455140356134
9125307384300
1040424823900
111616483957a
127a02237390
133a730a5b56
141d56b94976
1510b8e50900
hex96981dc5c

40424823900 has 216 divisors, whose sum is σ = 132447078400. Its totient is φ = 10694255040.

The previous prime is 40424823899. The next prime is 40424823911. The reversal of 40424823900 is 932842404.

40424823900 is a `hidden beast` number, since 404 + 248 + 2 + 3 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×404248239002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 3079551 + ... + 3092649.

Almost surely, 240424823900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40424823900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66223539200).

40424823900 is an abundant number, since it is smaller than the sum of its proper divisors (92022254500).

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

40424823900 is a wasteful number, since it uses less digits than its factorization.

40424823900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13255 (or 13236 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 40424823900 in words is "forty billion, four hundred twenty-four million, eight hundred twenty-three thousand, nine hundred".