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114120235540 = 22513741649721
BaseRepresentation
bin110101001001000011…
…0001001101000010100
3101220120020100121222101
41222102012021220110
53332204240014130
6124232012411444
711150001665653
oct1522206115024
9356506317871
10114120235540
1144441997053
121a14a776b84
13a9b8cc87bc
1457484b519a
152e7dbbd1ca
hex1a92189a14

114120235540 has 24 divisors (see below), whose sum is σ = 241401788712. Its totient is φ = 45314895360.

The previous prime is 114120235483. The next prime is 114120235577. The reversal of 114120235540 is 45532021411.

114120235540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11332028304 + 102788207236 = 106452^2 + 320606^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114120235499 and 114120235508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20822121 + ... + 20827600.

It is an arithmetic number, because the mean of its divisors is an integer number (10058407863).

Almost surely, 2114120235540 is an apocalyptic number.

114120235540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114120235540 is an abundant number, since it is smaller than the sum of its proper divisors (127281553172).

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

114120235540 is a wasteful number, since it uses less digits than its factorization.

114120235540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41649867 (or 41649865 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 114120235540 its reverse (45532021411), we get a palindrome (159652256951).

The spelling of 114120235540 in words is "one hundred fourteen billion, one hundred twenty million, two hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 2740 41649721 83299442 166598884 208248605 416497210 832994420 5706011777 11412023554 22824047108 28530058885 57060117770 114120235540