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140122485440 = 26572531031637
BaseRepresentation
bin1000001001111111110…
…0110111001011000000
3111101200101011210011222
42002133330313023000
54243432324013230
6144212115054212
713060236321500
oct2023774671300
9441611153158
10140122485440
1154475543283
12231a68a1368
13102a10792a2
146ad39d3a00
1539a18686e5
hex209ff372c0

140122485440 has 336 divisors, whose sum is σ = 399549713472. Its totient is φ = 46649401344.

The previous prime is 140122485409. The next prime is 140122485463. The reversal of 140122485440 is 44584221041.

140122485440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 140122485440.

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 47 ways as a sum of consecutive naturals, for example, 85596302 + ... + 85597938.

It is an arithmetic number, because the mean of its divisors is an integer number (1189136052).

Almost surely, 2140122485440 is an apocalyptic number.

140122485440 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 140122485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199774856736).

140122485440 is an abundant number, since it is smaller than the sum of its proper divisors (259427228032).

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

140122485440 is a wasteful number, since it uses less digits than its factorization.

140122485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The spelling of 140122485440 in words is "one hundred forty billion, one hundred twenty-two million, four hundred eighty-five thousand, four hundred forty".