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114322120040 = 2352858053001
BaseRepresentation
bin110101001111000100…
…0010001110101101000
3101221002022020102110002
41222132020101311220
53333112430320130
6124304023442132
711155002662342
oct1523610216550
9357068212402
10114322120040
1144535946947
121a1a62b6348
13aa1ba9279b
145767228292
152e9179ab45
hex1a9e211d68

114322120040 has 16 divisors (see below), whose sum is σ = 257224770180. Its totient is φ = 45728848000.

The previous prime is 114322120027. The next prime is 114322120061. The reversal of 114322120040 is 40021223411.

It can be written as a sum of positive squares in 2 ways, for example, as 108779913124 + 5542206916 = 329818^2 + 74446^2 .

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 = 114322119994 and 114322120021.

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 3 ways as a sum of consecutive naturals, for example, 1429026461 + ... + 1429026540.

Almost surely, 2114322120040 is an apocalyptic number.

114322120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114322120040 is an abundant number, since it is smaller than the sum of its proper divisors (142902650140).

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

114322120040 is a wasteful number, since it uses less digits than its factorization.

114322120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858053012 (or 2858053008 counting only the distinct ones).

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

Adding to 114322120040 its reverse (40021223411), we get a palindrome (154343343451).

The spelling of 114322120040 in words is "one hundred fourteen billion, three hundred twenty-two million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 2858053001 5716106002 11432212004 14290265005 22864424008 28580530010 57161060020 114322120040