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140024402000 = 24537611131451
BaseRepresentation
bin1000001001101000011…
…0101101000001010000
3111101102112121121222222
42002122012231001100
54243232221331000
6144154252520212
713054635531110
oct2023206550120
9441375547888
10140024402000
115442514078a
1223179a80068
1310286956c52
146ac4981040
153997e41a85
hex209a1ad050

140024402000 has 320 divisors, whose sum is σ = 397044730368. Its totient is φ = 46771200000.

The previous prime is 140024401987. The next prime is 140024402029. The reversal of 140024402000 is 204420041.

It is a self number, because there is not a number n which added to its sum of digits gives 140024402000.

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 63 ways as a sum of consecutive naturals, for example, 96501275 + ... + 96502725.

Almost surely, 2140024402000 is an apocalyptic number.

140024402000 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 140024402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198522365184).

140024402000 is an abundant number, since it is smaller than the sum of its proper divisors (257020328368).

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

140024402000 is a wasteful number, since it uses less digits than its factorization.

140024402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 140024402000 its reverse (204420041), we get a palindrome (140228822041).

The spelling of 140024402000 in words is "one hundred forty billion, twenty-four million, four hundred two thousand".