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8140777141 = 72349476041
BaseRepresentation
bin1111001010011101…
…00110011010110101
3210000100022022211111
413211032212122311
5113133014332031
63423445035021
7405510315100
oct74516463265
923010268744
108140777141
1134a82903a2
1216b23b5a71
139c97630c3
14573271737
15329a571b1
hex1e53a66b5

8140777141 has 12 divisors (see below), whose sum is σ = 9497037900. Its totient is φ = 6957800640.

The previous prime is 8140777133. The next prime is 8140777153. The reversal of 8140777141 is 1417770418.

It can be written as a sum of positive squares in 2 ways, for example, as 3286728900 + 4854048241 = 57330^2 + 69671^2 .

It is not a de Polignac number, because 8140777141 - 23 = 8140777133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8140777094 and 8140777103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8140777241) 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, 220920 + ... + 255121.

It is an arithmetic number, because the mean of its divisors is an integer number (791419825).

Almost surely, 28140777141 is an apocalyptic number.

It is an amenable number.

8140777141 is a deficient number, since it is larger than the sum of its proper divisors (1356260759).

8140777141 is a wasteful number, since it uses less digits than its factorization.

8140777141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476404 (or 476397 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 40.

The square root of 8140777141 is about 90226.2552752800. The cubic root of 8140777141 is about 2011.6632801497.

The spelling of 8140777141 in words is "eight billion, one hundred forty million, seven hundred seventy-seven thousand, one hundred forty-one".

Divisors: 1 7 49 349 2443 17101 476041 3332287 23326009 166138309 1162968163 8140777141