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14134222080 = 2832511111539
BaseRepresentation
bin11010010100111011…
…10001110100000000
31100111001000212122200
431022131301310000
5212421330101310
610254305233200
71010154622356
oct151235616400
940431025580
1014134222080
115aa3444280
1228a5632800
131443375324
149812557d6
1557ace79c0
hex34a771d00

14134222080 has 216 divisors, whose sum is σ = 53349135840. Its totient is φ = 3426447360.

The previous prime is 14134222027. The next prime is 14134222087. The reversal of 14134222080 is 8022243141.

14134222080 is a `hidden beast` number, since 1 + 413 + 42 + 2 + 208 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14134222087) 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, 70951 + ... + 182489.

It is an arithmetic number, because the mean of its divisors is an integer number (246986740).

Almost surely, 214134222080 is an apocalyptic number.

14134222080 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 14134222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26674567920).

14134222080 is an abundant number, since it is smaller than the sum of its proper divisors (39214913760).

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

14134222080 is a wasteful number, since it uses less digits than its factorization.

14134222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111577 (or 111560 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 14134222080 in words is "fourteen billion, one hundred thirty-four million, two hundred twenty-two thousand, eighty".