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114104320040 = 2352852608001
BaseRepresentation
bin110101001000100100…
…1011100000000101000
3101220112010102001000102
41222101021130000220
53332141201220130
6124230243324532
711146416501044
oct1522111340050
9356463361012
10114104320040
1144433a06547
121a145380748
13a9b5915549
145746331024
152e7c5c7645
hex1a9125c028

114104320040 has 16 divisors (see below), whose sum is σ = 256734720180. Its totient is φ = 45641728000.

The previous prime is 114104320009. The next prime is 114104320049. The reversal of 114104320040 is 40023401411.

It can be written as a sum of positive squares in 2 ways, for example, as 110640055876 + 3464264164 = 332626^2 + 58858^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 114104319994 and 114104320021.

It is not an unprimeable number, because it can be changed into a prime (114104320049) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1426303961 + ... + 1426304040.

Almost surely, 2114104320040 is an apocalyptic number.

114104320040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114104320040 is an abundant number, since it is smaller than the sum of its proper divisors (142630400140).

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

114104320040 is a wasteful number, since it uses less digits than its factorization.

114104320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852608012 (or 2852608008 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 114104320040 its reverse (40023401411), we get a palindrome (154127721451).

The spelling of 114104320040 in words is "one hundred fourteen billion, one hundred four million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 2852608001 5705216002 11410432004 14263040005 22820864008 28526080010 57052160020 114104320040