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114004443040 = 255712527769
BaseRepresentation
bin110101000101100110…
…0011011111110100000
3101220021011110202112021
41222023030123332200
53331440114134130
6124212314511224
711144064530335
oct1521314337640
9356234422467
10114004443040
1144392599474
121a117a35514
13a99b015a27
145736d7298c
152e7394937a
hex1a8b31bfa0

114004443040 has 24 divisors (see below), whose sum is σ = 269335497060. Its totient is φ = 45601777152.

The previous prime is 114004443037. The next prime is 114004443071. The reversal of 114004443040 is 40344400411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 110561570064 + 3442872976 = 332508^2 + 58676^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114004442996 and 114004443014.

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 3 ways as a sum of consecutive naturals, for example, 356263725 + ... + 356264044.

Almost surely, 2114004443040 is an apocalyptic number.

114004443040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114004443040 is an abundant number, since it is smaller than the sum of its proper divisors (155331054020).

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

114004443040 is an equidigital number, since it uses as much as digits as its factorization.

114004443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712527784 (or 712527776 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 114004443040 its reverse (40344400411), we get a palindrome (154348843451).

The spelling of 114004443040 in words is "one hundred fourteen billion, four million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 712527769 1425055538 2850111076 3562638845 5700222152 7125277690 11400444304 14250555380 22800888608 28501110760 57002221520 114004443040