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140202202041 = 32111416183859
BaseRepresentation
bin1000001010010010110…
…0111101001110111001
3111101212221011210210200
42002210230331032321
54244113230431131
6144224043432413
713062225024426
oct2024454751671
9441787153720
10140202202041
1154506540570
1223209525709
13102b473a685
146b00424d4d
1539a88632e6
hex20a4b3d3b9

140202202041 has 12 divisors (see below), whose sum is σ = 220924682160. Its totient is φ = 84971031480.

The previous prime is 140202202033. The next prime is 140202202087.

140202202041 is a `hidden beast` number, since 1 + 402 + 0 + 220 + 2 + 0 + 41 = 666.

140202202041 is nontrivially palindromic in base 10.

140202202041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 140202202041 - 23 = 140202202033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (140202202241) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 708091831 + ... + 708092028.

It is an arithmetic number, because the mean of its divisors is an integer number (18410390180).

Almost surely, 2140202202041 is an apocalyptic number.

140202202041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

140202202041 is a deficient number, since it is larger than the sum of its proper divisors (80722480119).

140202202041 is a wasteful number, since it uses less digits than its factorization.

140202202041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416183876 (or 1416183873 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 140202 and 202041, that added together give a palindrome (342243).

The spelling of 140202202041 in words is "one hundred forty billion, two hundred two million, two hundred two thousand, forty-one".

Divisors: 1 3 9 11 33 99 1416183859 4248551577 12745654731 15578022449 46734067347 140202202041