Search a number
-
+
14424783094764 = 22337471978592399
BaseRepresentation
bin1101000111101000100000…
…0100101000001111101100
31220001222212221020222112000
43101322020010220033230
53342313423433013024
650402353123012300
73016104400156140
oct321721004501754
956058787228460
1014424783094764
114661575004989
12174b75280a090
13808335ba28b3
1437c23dc75220
151a034d420cc9
hexd1e881283ec

14424783094764 has 384 divisors, whose sum is σ = 43940413440000. Its totient is φ = 4006859560704.

The previous prime is 14424783094703. The next prime is 14424783094783. The reversal of 14424783094764 is 46749038742441.

14424783094764 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 478 + 3 + 0 + 94 + 76 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 6012830437 + ... + 6012832835.

It is an arithmetic number, because the mean of its divisors is an integer number (114428160000).

Almost surely, 214424783094764 is an apocalyptic number.

14424783094764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14424783094764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21970206720000).

14424783094764 is an abundant number, since it is smaller than the sum of its proper divisors (29515630345236).

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

14424783094764 is a wasteful number, since it uses less digits than its factorization.

14424783094764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 14424783094764 in words is "fourteen trillion, four hundred twenty-four billion, seven hundred eighty-three million, ninety-four thousand, seven hundred sixty-four".