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140132439936 = 2733431914937
BaseRepresentation
bin1000001010000010001…
…0110101011110000000
3111101201001220112012000
42002200202311132000
54243442401034221
6144213112304000
713060420041366
oct2024042653600
9441631815160
10140132439936
1154480122235
12231aa0a2000
13102a3153218
146ad5065636
1539a2682e26
hex20a08b5780

140132439936 has 256 divisors, whose sum is σ = 425505484800. Its totient is φ = 45376450560.

The previous prime is 140132439919. The next prime is 140132439971. The reversal of 140132439936 is 639934231041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 140132439891 and 140132439900.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28381660 + ... + 28386596.

It is an arithmetic number, because the mean of its divisors is an integer number (1662130800).

Almost surely, 2140132439936 is an apocalyptic number.

140132439936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140132439936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212752742400).

140132439936 is an abundant number, since it is smaller than the sum of its proper divisors (285373044864).

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

140132439936 is a wasteful number, since it uses less digits than its factorization.

140132439936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5194 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 140132439936 in words is "one hundred forty billion, one hundred thirty-two million, four hundred thirty-nine thousand, nine hundred thirty-six".