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14090590080 = 2732571761337
BaseRepresentation
bin11010001111101110…
…10101011110000000
31100100222221010210200
431013313111132000
5212324142340310
610250110125200
71006115016360
oct150767253600
940328833720
1014090590080
115a80852976
122892ab0800
131437309588
149795389a0
155770799c0
hex347dd5780

14090590080 has 768 divisors, whose sum is σ = 60021336960. Its totient is φ = 2972712960.

The previous prime is 14090590051. The next prime is 14090590081. The reversal of 14090590080 is 8009509041.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14090590081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41811672 + ... + 41812008.

Almost surely, 214090590080 is an apocalyptic number.

14090590080 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 14090590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30010668480).

14090590080 is an abundant number, since it is smaller than the sum of its proper divisors (45930746880).

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

14090590080 is a wasteful number, since it uses less digits than its factorization.

14090590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 14090590080 in words is "fourteen billion, ninety million, five hundred ninety thousand, eighty".