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14387381946 = 233738061857
BaseRepresentation
bin11010110011000111…
…00000011010111010
31101010200101201201000
431121203200122322
5213431132210241
610335351305430
71016350504650
oct153143403272
941120351630
1014387381946
116113336003
12295637b276
131483953072
149a6b14dd0
15593152eb6
hex3598e06ba

14387381946 has 32 divisors (see below), whose sum is σ = 36539383680. Its totient is φ = 4110680448.

The previous prime is 14387381887. The next prime is 14387381947. The reversal of 14387381946 is 64918378341.

14387381946 is a `hidden beast` number, since 143 + 87 + 381 + 9 + 46 = 666.

14387381946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14387381892 and 14387381901.

It is not an unprimeable number, because it can be changed into a prime (14387381947) 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 15 ways as a sum of consecutive naturals, for example, 19030551 + ... + 19031306.

It is an arithmetic number, because the mean of its divisors is an integer number (1141855740).

Almost surely, 214387381946 is an apocalyptic number.

14387381946 is an abundant number, since it is smaller than the sum of its proper divisors (22152001734).

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

14387381946 is a wasteful number, since it uses less digits than its factorization.

14387381946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38061875 (or 38061869 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 14387381946 in words is "fourteen billion, three hundred eighty-seven million, three hundred eighty-one thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 38061857 76123714 114185571 228371142 266432999 342556713 532865998 685113426 799298997 1027670139 1598597994 2055340278 2397896991 4795793982 7193690973 14387381946