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142253625033 = 34135310125237
BaseRepresentation
bin1000010001111011111…
…0100000111011001001
3111121011220021220010000
42010132332200323021
54312313412000113
6145203404513213
713164114601452
oct2043676407311
9447156256100
10142253625033
115536950aa73
12236a054b809
131055074aa30
146c56a68129
153a789d2373
hex211efa0ec9

142253625033 has 80 divisors (see below), whose sum is σ = 235484471376. Its totient is φ = 85035225600.

The previous prime is 142253625013. The next prime is 142253625089. The reversal of 142253625033 is 330526352241.

142253625033 is a `hidden beast` number, since 1 + 4 + 2 + 25 + 3 + 625 + 0 + 3 + 3 = 666.

142253625033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 17353583289 + 124900041744 = 131733^2 + 353412^2 .

It is not a de Polignac number, because 142253625033 - 233 = 133663690441 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (142253625013) 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 79 ways as a sum of consecutive naturals, for example, 5624091 + ... + 5649327.

Almost surely, 2142253625033 is an apocalyptic number.

142253625033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

142253625033 is a deficient number, since it is larger than the sum of its proper divisors (93230846343).

142253625033 is a wasteful number, since it uses less digits than its factorization.

142253625033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25416 (or 25407 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 142253625033 its reverse (330526352241), we get a palindrome (472779977274).

The spelling of 142253625033 in words is "one hundred forty-two billion, two hundred fifty-three million, six hundred twenty-five thousand, thirty-three".

Divisors: 1 3 9 13 27 39 53 81 101 117 159 303 351 477 689 909 1053 1313 1431 2067 2727 3939 4293 5353 6201 8181 11817 16059 18603 25237 35451 48177 55809 69589 75711 106353 144531 208767 227133 328081 433593 626301 681399 984243 1337561 1878903 2044197 2548937 2952729 4012683 5636709 7646811 8858187 12038049 17388293 22940433 26574561 33136181 36114147 52164879 68821299 99408543 108342441 135093661 156494637 206463897 298225629 405280983 469483911 894676887 1215842949 1408451733 1756217593 2684030661 3647528847 5268652779 10942586541 15805958337 47417875011 142253625033