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14022330010000 = 245413277389401
BaseRepresentation
bin1100110000001101001111…
…1111111100100110010000
31211122112002021202222211221
43030003103333330212100
53314220212440310000
645453434112414424
72645036260325404
oct314032377744620
954575067688757
1014022330010000
114516922802704
1216a5755b47414
137a93b9280410
14366981d95104
15194b464b761a
hexcc0d3ffc990

14022330010000 has 200 divisors, whose sum is σ = 36693043611224. Its totient is φ = 5158771200000.

The previous prime is 14022330009983. The next prime is 14022330010009. The reversal of 14022330010000 is 1003322041.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 13822542465424 + 199787544576 = 3717868^2 + 446976^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14022330010009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35815300 + ... + 36204700.

Almost surely, 214022330010000 is an apocalyptic number.

14022330010000 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 14022330010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18346521805612).

14022330010000 is an abundant number, since it is smaller than the sum of its proper divisors (22670713601224).

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

14022330010000 is a wasteful number, since it uses less digits than its factorization.

14022330010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389719 (or 389698 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 14022330010000 its reverse (1003322041), we get a palindrome (14023333332041).

The spelling of 14022330010000 in words is "fourteen trillion, twenty-two billion, three hundred thirty million, ten thousand".