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14022013432 = 2373722330347
BaseRepresentation
bin11010000111100011…
…01111000111111000
31100012012220002022211
431003301233013320
5212204113412212
610235220224504
71004323101430
oct150361570770
940165802284
1014022013432
115a46074259
122873b3b134
13142604888b
149703a72c0
155710309a7
hex343c6f1f8

14022013432 has 64 divisors (see below), whose sum is σ = 30998661120. Its totient is φ = 5820605568.

The previous prime is 14022013427. The next prime is 14022013441. The reversal of 14022013432 is 23431022041.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 446883 + ... + 477229.

It is an arithmetic number, because the mean of its divisors is an integer number (484354080).

Almost surely, 214022013432 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 14022013432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499330560).

14022013432 is an abundant number, since it is smaller than the sum of its proper divisors (16976647688).

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

14022013432 is a wasteful number, since it uses less digits than its factorization.

14022013432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30620 (or 30616 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 14022013432 its reverse (23431022041), we get a palindrome (37453035473).

The spelling of 14022013432 in words is "fourteen billion, twenty-two million, thirteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 223 259 296 446 518 892 1036 1561 1784 2072 3122 6244 8251 12488 16502 30347 33004 57757 60694 66008 115514 121388 212429 231028 242776 424858 462056 849716 1122839 1699432 2245678 4491356 6767381 7859873 8982712 13534762 15719746 27069524 31439492 47371667 54139048 62878984 94743334 189486668 250393097 378973336 500786194 1001572388 1752751679 2003144776 3505503358 7011006716 14022013432