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14122855890 = 232511134092683
BaseRepresentation
bin11010010011100100…
…11010110111010010
31100110020122102011200
431021302122313102
5212410422342030
610253221452030
71006656202653
oct151162326722
940406572150
1014122855890
115a97a90730
1228a1871016
131440bc5980
1497d93752a
15579ceed60
hex349c9add2

14122855890 has 192 divisors, whose sum is σ = 43260497280. Its totient is φ = 3151457280.

The previous prime is 14122855837. The next prime is 14122855891. The reversal of 14122855890 is 9855822141.

14122855890 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 2 + 8 + 558 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14122855891) 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, 5262489 + ... + 5265171.

It is an arithmetic number, because the mean of its divisors is an integer number (225315090).

Almost surely, 214122855890 is an apocalyptic number.

14122855890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14122855890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21630248640).

14122855890 is an abundant number, since it is smaller than the sum of its proper divisors (29137641390).

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

14122855890 is a wasteful number, since it uses less digits than its factorization.

14122855890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 14122855890 in words is "fourteen billion, one hundred twenty-two million, eight hundred fifty-five thousand, eight hundred ninety".