Search a number
-
+
14819839120 = 245185247989
BaseRepresentation
bin11011100110101010…
…01100110010010000
31102020211010211102101
431303111030302100
5220322334322440
610450320330144
71033151361022
oct156325146220
942224124371
1014819839120
11631545a529
122a57173954
131522419b98
14a08328012
155bb0c869a
hex37354cc90

14819839120 has 20 divisors (see below), whose sum is σ = 34456126140. Its totient is φ = 5927935616.

The previous prime is 14819839117. The next prime is 14819839187. The reversal of 14819839120 is 2193891841.

It can be written as a sum of positive squares in 2 ways, for example, as 3179155456 + 11640683664 = 56384^2 + 107892^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 92623915 + ... + 92624074.

It is an arithmetic number, because the mean of its divisors is an integer number (1722806307).

Almost surely, 214819839120 is an apocalyptic number.

14819839120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14819839120 is an abundant number, since it is smaller than the sum of its proper divisors (19636287020).

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

14819839120 is a wasteful number, since it uses less digits than its factorization.

14819839120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185248002 (or 185247996 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

The spelling of 14819839120 in words is "fourteen billion, eight hundred nineteen million, eight hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 185247989 370495978 740991956 926239945 1481983912 1852479890 2963967824 3704959780 7409919560 14819839120