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14155132880 = 2457234767349
BaseRepresentation
bin11010010111011011…
…00010111111010000
31100112111101020212202
431023231202333100
5212442203223010
610300333342332
71010530433660
oct151355427720
940474336782
1014155132880
116004226929
1228b06379a8
1314477b7195
14983d3a1a0
1557ca786a5
hex34bb62fd0

14155132880 has 320 divisors, whose sum is σ = 40797388800. Its totient is φ = 4462774272.

The previous prime is 14155132877. The next prime is 14155132889. The reversal of 14155132880 is 8823155141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14155132889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40558946 + ... + 40559294.

It is an arithmetic number, because the mean of its divisors is an integer number (127491840).

Almost surely, 214155132880 is an apocalyptic number.

14155132880 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 14155132880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20398694400).

14155132880 is an abundant number, since it is smaller than the sum of its proper divisors (26642255920).

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

14155132880 is a wasteful number, since it uses less digits than its factorization.

14155132880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 38.

The spelling of 14155132880 in words is "fourteen billion, one hundred fifty-five million, one hundred thirty-two thousand, eight hundred eighty".