Search a number
-
+
8142114728 = 231192524031
BaseRepresentation
bin1111001010100111…
…01100111110101000
3210000102211021122202
413211103230332220
5113133340132403
63423533435332
7405524555546
oct74523547650
923012737582
108142114728
1134a9014340
1216b293bb48
139c9b10b87
145734dcd96
15329c1d688
hex1e54ecfa8

8142114728 has 16 divisors (see below), whose sum is σ = 16654325760. Its totient is φ = 3700961200.

The previous prime is 8142114709. The next prime is 8142114779. The reversal of 8142114728 is 8274112418.

It is a junction number, because it is equal to n+sod(n) for n = 8142114691 and 8142114700.

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 3 ways as a sum of consecutive naturals, for example, 46261928 + ... + 46262103.

It is an arithmetic number, because the mean of its divisors is an integer number (1040895360).

Almost surely, 28142114728 is an apocalyptic number.

8142114728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8142114728 is an abundant number, since it is smaller than the sum of its proper divisors (8512211032).

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

8142114728 is a wasteful number, since it uses less digits than its factorization.

8142114728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92524048 (or 92524044 counting only the distinct ones).

The product of its digits is 28672, while the sum is 38.

The square root of 8142114728 is about 90233.6673753206. The cubic root of 8142114728 is about 2011.7734509294.

The spelling of 8142114728 in words is "eight billion, one hundred forty-two million, one hundred fourteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 92524031 185048062 370096124 740192248 1017764341 2035528682 4071057364 8142114728