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256105046142 = 232111293459829
BaseRepresentation
bin1110111010000100001…
…1001110000001111110
3220111001101211100000100
43232201003032001332
513144000342434032
6313353015541530
724334343655051
oct3564103160176
9814041740010
10256105046142
1199682692830
124177508a8a6
131b1c5b4722a
14c577566a98
1569ddca197c
hex3ba10ce07e

256105046142 has 24 divisors (see below), whose sum is σ = 605339200440. Its totient is φ = 77607589680.

The previous prime is 256105046129. The next prime is 256105046173. The reversal of 256105046142 is 241640501652.

256105046142 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 0 + 504 + 6 + 142 = 666.

256105046142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 256105046097 and 256105046106.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 646729717 + ... + 646730112.

It is an arithmetic number, because the mean of its divisors is an integer number (25222466685).

Almost surely, 2256105046142 is an apocalyptic number.

256105046142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

256105046142 is an abundant number, since it is smaller than the sum of its proper divisors (349234154298).

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

256105046142 is a wasteful number, since it uses less digits than its factorization.

256105046142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293459848 (or 1293459845 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 256105046142 its reverse (241640501652), we get a palindrome (497745547794).

The spelling of 256105046142 in words is "two hundred fifty-six billion, one hundred five million, forty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1293459829 2586919658 3880379487 7760758974 11641138461 14228058119 23282276922 28456116238 42684174357 85368348714 128052523071 256105046142