Search a number
-
+
14144492544 = 2103713192663
BaseRepresentation
bin11010010110001001…
…11101010000000000
31100111202100200002020
431023010331100000
5212431442230134
610255313321440
71010341126410
oct151304752000
940452320066
1014144492544
115aa9219666
1228a8b66280
131445530020
1498276a640
1557bb75b49
hex34b13d400

14144492544 has 352 divisors, whose sum is σ = 48860743680. Its totient is φ = 3532750848.

The previous prime is 14144492519. The next prime is 14144492561. The reversal of 14144492544 is 44529444141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14144492496 and 14144492505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5310157 + ... + 5312819.

Almost surely, 214144492544 is an apocalyptic number.

14144492544 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 14144492544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24430371840).

14144492544 is an abundant number, since it is smaller than the sum of its proper divisors (34716251136).

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

14144492544 is a wasteful number, since it uses less digits than its factorization.

14144492544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2707 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The spelling of 14144492544 in words is "fourteen billion, one hundred forty-four million, four hundred ninety-two thousand, five hundred forty-four".