Search a number
-
+
1119307279104 = 283473241653
BaseRepresentation
bin10000010010011011111…
…010011010101100000000
310222000010110010011120000
4100102123322122230000
5121314320130412404
62214111435320000
7143603322615000
oct20223372325400
93860113104500
101119307279104
113a1771862603
12160b198b0000
138171cac1a91
143c26378c000
151e1b09d6339
hex1049be9ab00

1119307279104 has 720 divisors, whose sum is σ = 3914347483200. Its totient is φ = 317987389440.

The previous prime is 1119307279091. The next prime is 1119307279147. The reversal of 1119307279104 is 4019727039111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1119307279104.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1714099642 + ... + 1714100294.

Almost surely, 21119307279104 is an apocalyptic number.

1119307279104 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 1119307279104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957173741600).

1119307279104 is an abundant number, since it is smaller than the sum of its proper divisors (2795040204096).

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

1119307279104 is an frugal number, since it uses more digits than its factorization.

1119307279104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 1119307279104 in words is "one trillion, one hundred nineteen billion, three hundred seven million, two hundred seventy-nine thousand, one hundred four".