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142011110241 = 327111315763249
BaseRepresentation
bin1000010001000010000…
…1011001001101100001
3111120112222221212100200
42010100201121031201
54311314321011431
6145123342535413
713155111343320
oct2042041311541
9446488855320
10142011110241
115525462a020
1223633297569
1310512429360
146c3277a0b7
153a6257aee6
hex2110859361

142011110241 has 48 divisors (see below), whose sum is σ = 275415504000. Its totient is φ = 68097231360.

The previous prime is 142011110233. The next prime is 142011110249.

142011110241 is a `hidden beast` number, since 1 + 420 + 1 + 1 + 1 + 1 + 0 + 241 = 666.

142011110241 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (142011110233) and next prime (142011110249).

It is not a de Polignac number, because 142011110241 - 23 = 142011110233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142011110249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7872616 + ... + 7890633.

It is an arithmetic number, because the mean of its divisors is an integer number (5737823000).

Almost surely, 2142011110241 is an apocalyptic number.

142011110241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142011110241 is a deficient number, since it is larger than the sum of its proper divisors (133404393759).

142011110241 is a wasteful number, since it uses less digits than its factorization.

142011110241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15763286 (or 15763283 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 142011 and 110241, that added together give a palindrome (252252).

The spelling of 142011110241 in words is "one hundred forty-two billion, eleven million, one hundred ten thousand, two hundred forty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 15763249 47289747 110342743 141869241 173395739 204922237 331028229 520187217 614766711 993084687 1213770173 1434455659 1560561651 1844300133 2254144607 3641310519 4303366977 6762433821 10923931557 12910100931 15779012249 20287301463 47337036747 142011110241