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14122400994 = 2321371983939
BaseRepresentation
bin11010010011100001…
…01011110011100010
31100110012210022011200
431021300223303202
5212410313312434
610253204022030
71006652266512
oct151160536342
940405708150
1014122400994
115a977aa989
1228a1691916
131440a968c0
1497d859842
15579c60199
hex349c2bce2

14122400994 has 48 divisors (see below), whose sum is σ = 32998492800. Its totient is φ = 4339258848.

The previous prime is 14122400993. The next prime is 14122401001. The reversal of 14122400994 is 49900422141.

14122400994 is a `hidden beast` number, since 141 + 22 + 400 + 9 + 94 = 666.

14122400994 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14122400993) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 126277 + ... + 210215.

It is an arithmetic number, because the mean of its divisors is an integer number (687468600).

Almost surely, 214122400994 is an apocalyptic number.

14122400994 is an abundant number, since it is smaller than the sum of its proper divisors (18876091806).

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

14122400994 is a wasteful number, since it uses less digits than its factorization.

14122400994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84679 (or 84676 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 14122400994 in words is "fourteen billion, one hundred twenty-two million, four hundred thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 719 1438 2157 4314 6471 9347 12942 18694 28041 56082 83939 84123 167878 168246 251817 503634 755451 1091207 1510902 2182414 3273621 6547242 9820863 19641726 60352141 120704282 181056423 362112846 543169269 784577833 1086338538 1569155666 2353733499 4707466998 7061200497 14122400994