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14090296320 = 2103251717987
BaseRepresentation
bin11010001111101100…
…01101110000000000
31100100222101012211200
431013312031300000
5212324103440240
610250055541200
71006112354052
oct150766156000
940328335750
1014090296320
115a806721a1
12289298a800
131437235959
1497949d8d2
1557701c930
hex347d8dc00

14090296320 has 264 divisors, whose sum is σ = 51697296144. Its totient is φ = 3536191488.

The previous prime is 14090296307. The next prime is 14090296327. The reversal of 14090296320 is 2369209041.

14090296320 is a `hidden beast` number, since 1 + 40 + 9 + 0 + 296 + 320 = 666.

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 (14090296327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774367 + ... + 792353.

Almost surely, 214090296320 is an apocalyptic number.

14090296320 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 14090296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25848648072).

14090296320 is an abundant number, since it is smaller than the sum of its proper divisors (37606999824).

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

14090296320 is a wasteful number, since it uses less digits than its factorization.

14090296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18035 (or 18014 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 14090296320 in words is "fourteen billion, ninety million, two hundred ninety-six thousand, three hundred twenty".