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14230632240 = 24325117125307
BaseRepresentation
bin11010100000011011…
…00011011100110000
31100201202110000112100
431100031203130300
5213121020212430
610312031500400
71012435243506
oct152015433460
940652400470
1014230632240
1160429036a0
122911987700
13145a32cb66
1498dd90676
155844dd960
hex350363730

14230632240 has 240 divisors, whose sum is σ = 52872258816. Its totient is φ = 3401126400.

The previous prime is 14230632209. The next prime is 14230632259. The reversal of 14230632240 is 4223603241.

14230632240 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 0 + 632 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549667 + ... + 574973.

Almost surely, 214230632240 is an apocalyptic number.

14230632240 is a gapful number since it is divisible by the number (10) 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 14230632240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26436129408).

14230632240 is an abundant number, since it is smaller than the sum of its proper divisors (38641626576).

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

14230632240 is a wasteful number, since it uses less digits than its factorization.

14230632240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25408 (or 25399 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 14230632240 in words is "fourteen billion, two hundred thirty million, six hundred thirty-two thousand, two hundred forty".