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14422545104 = 2411974991693
BaseRepresentation
bin11010110111010011…
…01001001011010000
31101020010120012111012
431123221221023100
5214014132420404
610343045110052
71020255416312
oct153351511320
941203505435
1014422545104
116131172670
1229660b8328
13148b015176
149ab6697b2
1559629ba6e
hex35ba692d0

14422545104 has 80 divisors (see below), whose sum is σ = 30878232000. Its totient is φ = 6471290880.

The previous prime is 14422545097. The next prime is 14422545127. The reversal of 14422545104 is 40154522441.

14422545104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8518082 + ... + 8519774.

It is an arithmetic number, because the mean of its divisors is an integer number (385977900).

Almost surely, 214422545104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14422545104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15439116000).

14422545104 is an abundant number, since it is smaller than the sum of its proper divisors (16455686896).

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

14422545104 is a wasteful number, since it uses less digits than its factorization.

14422545104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The spelling of 14422545104 in words is "fourteen billion, four hundred twenty-two million, five hundred forty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 97 176 194 388 499 776 998 1067 1552 1693 1996 2134 3386 3992 4268 5489 6772 7984 8536 10978 13544 17072 18623 21956 27088 37246 43912 48403 74492 87824 96806 148984 164221 193612 297968 328442 387224 532433 656884 774448 844807 1064866 1313768 1689614 1806431 2129732 2627536 3379228 3612862 4259464 6758456 7225724 8518928 9292877 13516912 14451448 18585754 28902896 37171508 74343016 81946279 148686032 163892558 327785116 655570232 901409069 1311140464 1802818138 3605636276 7211272552 14422545104