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14020235460 = 223357113173149
BaseRepresentation
bin11010000111010101…
…11101000011000100
31100012002112202102000
431003222331003010
5212203140013320
610235114145300
71004302015020
oct150352750304
940162482360
1014020235460
115a4506a460
122873422230
13142587551a
14970063380
15570ccdc90
hex343abd0c4

14020235460 has 768 divisors, whose sum is σ = 57286656000. Its totient is φ = 2762035200.

The previous prime is 14020235459. The next prime is 14020235479. The reversal of 14020235460 is 6453202041.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 94095466 + ... + 94095614.

It is an arithmetic number, because the mean of its divisors is an integer number (74592000).

Almost surely, 214020235460 is an apocalyptic number.

14020235460 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 14020235460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28643328000).

14020235460 is an abundant number, since it is smaller than the sum of its proper divisors (43266420540).

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

14020235460 is a wasteful number, since it uses less digits than its factorization.

14020235460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 14020235460 in words is "fourteen billion, twenty million, two hundred thirty-five thousand, four hundred sixty".