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142656656241 = 311101154327739
BaseRepresentation
bin1000010011011011111…
…1111101001101110001
3111122012222122222222210
42010312333331031301
54314130100444431
6145311403122333
713210110366531
oct2046677751561
9448188588883
10142656656241
1155555a66310
12237935133a9
13105b60b0c38
146c943bb4c1
153a9e093d46
hex2136ffd371

142656656241 has 32 divisors (see below), whose sum is σ = 209698421760. Its totient is φ = 85543992000.

The previous prime is 142656656231. The next prime is 142656656269.

It is a happy number.

142656656241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 142656656241 - 210 = 142656655217 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (142656656231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5128950 + ... + 5156688.

It is an arithmetic number, because the mean of its divisors is an integer number (6553075680).

Almost surely, 2142656656241 is an apocalyptic number.

142656656241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142656656241 is a deficient number, since it is larger than the sum of its proper divisors (67041765519).

142656656241 is a wasteful number, since it uses less digits than its factorization.

142656656241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29397.

The product of its digits is 2073600, while the sum is 48.

It can be divided in two parts, 142656 and 656241, that added together give a palindrome (798897).

The spelling of 142656656241 in words is "one hundred forty-two billion, six hundred fifty-six million, six hundred fifty-six thousand, two hundred forty-one".

Divisors: 1 3 11 33 101 303 1111 1543 3333 4629 16973 27739 50919 83217 155843 305129 467529 915387 1714273 2801639 5142819 8404917 30818029 42801277 92454087 128403831 470814047 1412442141 4322928977 12968786931 47552218747 142656656241