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15405032142 = 235106329819
BaseRepresentation
bin11100101100011011…
…00010001011001110
31110202121021201100000
432112031202023032
5223022142012032
611024343145130
71053515420103
oct162615421316
943677251300
1015405032142
116595814725
122b9b1451a6
1315b672cc46
14a61d38aaa
1560266de7c
hex3963622ce

15405032142 has 48 divisors (see below), whose sum is σ = 34647500160. Its totient is φ = 5130007992.

The previous prime is 15405032129. The next prime is 15405032143. The reversal of 15405032142 is 24123050451.

15405032142 is a `hidden beast` number, since 1 + 540 + 50 + 32 + 1 + 42 = 666.

15405032142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15405032143) 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 23 ways as a sum of consecutive naturals, for example, 501709 + ... + 531527.

It is an arithmetic number, because the mean of its divisors is an integer number (721822920).

Almost surely, 215405032142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15405032142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17323750080).

15405032142 is an abundant number, since it is smaller than the sum of its proper divisors (19242468018).

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

15405032142 is a wasteful number, since it uses less digits than its factorization.

15405032142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30899 (or 30887 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 15405032142 its reverse (24123050451), we get a palindrome (39528082593).

The spelling of 15405032142 in words is "fifteen billion, four hundred five million, thirty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 1063 2126 3189 6378 9567 19134 28701 29819 57402 59638 86103 89457 172206 178914 258309 268371 516618 536742 805113 1610226 2415339 4830678 7246017 14492034 31697597 63395194 95092791 190185582 285278373 570556746 855835119 1711670238 2567505357 5135010714 7702516071 15405032142