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140104311302133 = 32138111272371977
BaseRepresentation
bin11111110110110010010011…
…101101001110011111110101
3200101001211201100100201112200
4133312302103231032133311
5121330432112143132013
61213551010532135113
741340126304522413
oct3766622355163765
9611054640321480
10140104311302133
11407069a5244462
12138691a2467499
136023a1a498a99
142685128b782b3
15112e67be8de73
hex7f6c93b4e7f5

140104311302133 has 12 divisors (see below), whose sum is σ = 202519434956748. Its totient is φ = 93335239961280.

The previous prime is 140104311302129. The next prime is 140104311302159. The reversal of 140104311302133 is 331203113401041.

140104311302133 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 0 + 431 + 13 + 0 + 213 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54369637774929 + 85734673527204 = 7373577^2 + 9259302^2 .

It is not a de Polignac number, because 140104311302133 - 22 = 140104311302129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 140104311302097 and 140104311302106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140104311306133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5636173560 + ... + 5636198417.

It is an arithmetic number, because the mean of its divisors is an integer number (16876619579729).

Almost surely, 2140104311302133 is an apocalyptic number.

It is an amenable number.

140104311302133 is a deficient number, since it is larger than the sum of its proper divisors (62415123654615).

140104311302133 is a wasteful number, since it uses less digits than its factorization.

140104311302133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11272373364 (or 11272373361 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 140104311302133 its reverse (331203113401041), we get a palindrome (471307424703174).

The spelling of 140104311302133 in words is "one hundred forty trillion, one hundred four billion, three hundred eleven million, three hundred two thousand, one hundred thirty-three".

Divisors: 1 3 9 1381 4143 12429 11272371977 33817115931 101451347793 15567145700237 46701437100711 140104311302133