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4104240840 = 23365720107
BaseRepresentation
bin1111010010100001…
…1011111011001000
3101121000212001000000
43310220123323020
531401141201330
61515132043000
7203464320510
oct36450337310
911530761000
104104240840
111816811987
12966603460
135053bb59b
142ad12a840
151904b6560
hexf4a1bec8

4104240840 has 224 divisors, whose sum is σ = 15824191680. Its totient is φ = 938065536.

The previous prime is 4104240809. The next prime is 4104240859. The reversal of 4104240840 is 480424014.

It is a happy number.

4104240840 is a `hidden beast` number, since 410 + 4 + 240 + 8 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 55 ways as a sum of consecutive naturals, for example, 194067 + ... + 214173.

Almost surely, 24104240840 is an apocalyptic number.

4104240840 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 4104240840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7912095840).

4104240840 is an abundant number, since it is smaller than the sum of its proper divisors (11719950840).

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

4104240840 is a wasteful number, since it uses less digits than its factorization.

4104240840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20143 (or 20124 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4104240840 is about 64064.3492123349. The cubic root of 4104240840 is about 1601.0723072294.

Adding to 4104240840 its reverse (480424014), we get a palindrome (4584664854).

The spelling of 4104240840 in words is "four billion, one hundred four million, two hundred forty thousand, eight hundred forty".