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20123340013440 = 273258342091993
BaseRepresentation
bin1001001001101010101001…
…00010000111111110000000
32122020202212011110101020200
410210311110202013332000
510114200100020412230
6110444311302405200
74144602060601536
oct444652442077600
978222764411220
1020123340013440
116459295906744
122310055a30800
13b2c813450101
144d7d90dd8156
1524d6c3195160
hex124d54887f80

20123340013440 has 192 divisors, whose sum is σ = 70325619895440. Its totient is φ = 5301570576384.

The previous prime is 20123340013417. The next prime is 20123340013471. The reversal of 20123340013440 is 4431004332102.

20123340013440 is a `hidden beast` number, since 2 + 0 + 123 + 3 + 400 + 134 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 20567917 + ... + 21524076.

Almost surely, 220123340013440 is an apocalyptic number.

20123340013440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20123340013440 is an abundant number, since it is smaller than the sum of its proper divisors (50202279882000).

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

20123340013440 is a wasteful number, since it uses less digits than its factorization.

20123340013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42092101 (or 42092086 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20123340013440 its reverse (4431004332102), we get a palindrome (24554344345542).

The spelling of 20123340013440 in words is "twenty trillion, one hundred twenty-three billion, three hundred forty million, thirteen thousand, four hundred forty".