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139353303040 = 211572172312
BaseRepresentation
bin1000000111001000011…
…0101010100000000000
3111022200202211021021221
42001302012222200000
54240343421144130
6144003520524424
713032206350300
oct2016206524000
9438622737257
10139353303040
1154110341146
1223011180714
13101aa8c6583
146a5d7ab600
15395907c87a
hex20721aa800

139353303040 has 648 divisors, whose sum is σ = 426940776990. Its totient is φ = 43517214720.

The previous prime is 139353303029. The next prime is 139353303043. The reversal of 139353303040 is 40303353931.

It can be written as a sum of positive squares in 3 ways, for example, as 135447553024 + 3905750016 = 368032^2 + 62496^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 139353302987 and 139353303005.

It is not an unprimeable number, because it can be changed into a prime (139353303043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4495267825 + ... + 4495267855.

Almost surely, 2139353303040 is an apocalyptic number.

139353303040 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 139353303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213470388495).

139353303040 is an abundant number, since it is smaller than the sum of its proper divisors (287587473950).

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

139353303040 is an equidigital number, since it uses as much as digits as its factorization.

139353303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 34.

Adding to 139353303040 its reverse (40303353931), we get a palindrome (179656656971).

The spelling of 139353303040 in words is "one hundred thirty-nine billion, three hundred fifty-three million, three hundred three thousand, forty".