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14132206080 = 293451719211
BaseRepresentation
bin11010010100101100…
…00101101000000000
31100110220020110020000
431022112011220000
5212420321043310
610254154120000
71010131524666
oct151226055000
940426213200
1014132206080
115aa2297663
1228a4a20000
131442b1a825
14980c8cc36
1557aa4a4c0
hex34a585a00

14132206080 has 800 divisors, whose sum is σ = 56682711360. Its totient is φ = 3344302080.

The previous prime is 14132206037. The next prime is 14132206087. The reversal of 14132206080 is 8060223141.

14132206080 is a `hidden beast` number, since 1 + 4 + 1 + 32 + 20 + 608 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14132206087) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66977175 + ... + 66977385.

Almost surely, 214132206080 is an apocalyptic number.

14132206080 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 14132206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28341355680).

14132206080 is an abundant number, since it is smaller than the sum of its proper divisors (42550505280).

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

14132206080 is a wasteful number, since it uses less digits than its factorization.

14132206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 14132206080 in words is "fourteen billion, one hundred thirty-two million, two hundred six thousand, eighty".