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140055248480 = 25576110911879
BaseRepresentation
bin1000001001101111110…
…0010111111001100000
3111101111200122210102012
42002123330113321200
54243313120422410
6144201314012052
713055461653410
oct2023374277140
9441450583365
10140055248480
115444059a144
1223188277028
13102901672c4
146ac8ad0640
15399a9d6605
hex209bf17e60

140055248480 has 192 divisors, whose sum is σ = 384905364480. Its totient is φ = 47163340800.

The previous prime is 140055248479. The next prime is 140055248497. The reversal of 140055248480 is 84842550041.

140055248480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 74536181 + ... + 74538059.

It is an arithmetic number, because the mean of its divisors is an integer number (2004715440).

Almost surely, 2140055248480 is an apocalyptic number.

140055248480 is a gapful number since it is divisible by the number (10) 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 140055248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192452682240).

140055248480 is an abundant number, since it is smaller than the sum of its proper divisors (244850116000).

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

140055248480 is a wasteful number, since it uses less digits than its factorization.

140055248480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 41.

The spelling of 140055248480 in words is "one hundred forty billion, fifty-five million, two hundred forty-eight thousand, four hundred eighty".