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14260473920 = 2657211292851
BaseRepresentation
bin11010100011111110…
…11001000001000000
31100210211121010121202
431101333121001000
5213201140131140
610315015240332
71013250012500
oct152177310100
940724533552
1014260473920
116058736140
12291b9790a8
13146357aa64
14993d1ba00
15586e35915
hex351fd9040

14260473920 has 336 divisors, whose sum is σ = 44594556480. Its totient is φ = 4290048000.

The previous prime is 14260473901. The next prime is 14260473923. The reversal of 14260473920 is 2937406241.

It is a super-2 number, since 2×142604739202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14260473923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5000495 + ... + 5003345.

Almost surely, 214260473920 is an apocalyptic number.

14260473920 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 14260473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22297278240).

14260473920 is an abundant number, since it is smaller than the sum of its proper divisors (30334082560).

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

14260473920 is a wasteful number, since it uses less digits than its factorization.

14260473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 14260473920 in words is "fourteen billion, two hundred sixty million, four hundred seventy-three thousand, nine hundred twenty".