Search a number
-
+
14459120082 = 2331124341953
BaseRepresentation
bin11010111011101010…
…01010100111010010
31101022200101101221000
431131311022213102
5214103013320312
610350433042430
71021211331021
oct153565124722
941280341830
1014459120082
11614a883a20
1229763b6416
13149577ca74
149b246a8b8
155995c3adc
hex35dd4a9d2

14459120082 has 32 divisors (see below), whose sum is σ = 35052413760. Its totient is φ = 4381551360.

The previous prime is 14459120017. The next prime is 14459120107. The reversal of 14459120082 is 28002195441.

14459120082 is a `hidden beast` number, since 1 + 4 + 459 + 120 + 0 + 82 = 666.

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, 12170383 + ... + 12171570.

It is an arithmetic number, because the mean of its divisors is an integer number (1095387930).

Almost surely, 214459120082 is an apocalyptic number.

14459120082 is an abundant number, since it is smaller than the sum of its proper divisors (20593293678).

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

14459120082 is a wasteful number, since it uses less digits than its factorization.

14459120082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24341975 (or 24341969 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 14459120082 in words is "fourteen billion, four hundred fifty-nine million, one hundred twenty thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 24341953 48683906 73025859 146051718 219077577 267761483 438155154 535522966 657232731 803284449 1314465462 1606568898 2409853347 4819706694 7229560041 14459120082