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24140396900 = 2252241403969
BaseRepresentation
bin10110011110111000…
…010011100101100100
32022022101102020001002
4112132320103211210
5343414420200100
615031232252432
71513135662614
oct263670234544
968271366032
1024140396900
11a268696544
1248186a1118
132379415229
141250144a44
159644c52d5
hex59ee13964

24140396900 has 18 divisors (see below), whose sum is σ = 52384661490. Its totient is φ = 9656158720.

The previous prime is 24140396881. The next prime is 24140396941. The reversal of 24140396900 is 969304142.

It can be written as a sum of positive squares in 3 ways, for example, as 2794602496 + 21345794404 = 52864^2 + 146102^2 .

It is a super-2 number, since 2×241403969002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 120701885 + ... + 120702084.

Almost surely, 224140396900 is an apocalyptic number.

24140396900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24140396900 is an abundant number, since it is smaller than the sum of its proper divisors (28244264590).

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

24140396900 is a wasteful number, since it uses less digits than its factorization.

24140396900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241403983 (or 241403976 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 24140396900 in words is "twenty-four billion, one hundred forty million, three hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241403969 482807938 965615876 1207019845 2414039690 4828079380 6035099225 12070198450 24140396900