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142076014416 = 2433746982809
BaseRepresentation
bin1000010001010001100…
…0111110111101010000
3111120201112002100011000
42010110120332331100
54311432424430131
6145134022022000
713156530124320
oct2042430767520
9446645070130
10142076014416
115528822a536
1223650b77900
1310522a025ab
146c3b233280
153a680ebce6
hex211463ef50

142076014416 has 80 divisors (see below), whose sum is σ = 466069475200. Its totient is φ = 40593146112.

The previous prime is 142076014313. The next prime is 142076014417. The reversal of 142076014416 is 614410670241.

It is a happy number.

142076014416 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 7 + 601 + 4 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142076014417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23488381 + ... + 23494428.

It is an arithmetic number, because the mean of its divisors is an integer number (5825868440).

Almost surely, 2142076014416 is an apocalyptic number.

142076014416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142076014416 is an abundant number, since it is smaller than the sum of its proper divisors (323993460784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142076014416 is a wasteful number, since it uses less digits than its factorization.

142076014416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46982833 (or 46982821 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 142076014416 its reverse (614410670241), we get a palindrome (756486684657).

The spelling of 142076014416 in words is "one hundred forty-two billion, seventy-six million, fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 46982809 93965618 140948427 187931236 281896854 328879663 375862472 422845281 563793708 657759326 751724944 845690562 986638989 1127587416 1268535843 1315518652 1691381124 1973277978 2255174832 2537071686 2631037304 2959916967 3382762248 3946555956 5074143372 5262074608 5919833934 6765524496 7893111912 8879750901 10148286744 11839667868 15786223824 17759501802 20296573488 23679335736 35519003604 47358671472 71038007208 142076014416