Search a number
-
+
14300132142312 = 2332198612946421
BaseRepresentation
bin1101000000011000001001…
…0010111110110011101000
31212122002010210111111200100
43100012002102332303220
53333243132312023222
650225220124305400
73004102414435452
oct320060222766350
955562123444610
1014300132142312
114613719877405
12172b5653a2260
137c965c26b473
143761b6d6b2d2
1519bea4eb04ac
hexd01824bece8

14300132142312 has 24 divisors (see below), whose sum is σ = 38729524552290. Its totient is φ = 4766710714080.

The previous prime is 14300132142301. The next prime is 14300132142323. The reversal of 14300132142312 is 21324123100341.

14300132142312 is a `hidden beast` number, since 1 + 4 + 300 + 1 + 3 + 2 + 1 + 42 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (14300132142301) and next prime (14300132142323).

It can be written as a sum of positive squares in only one way, i.e., 13796069061636 + 504063080676 = 3714306^2 + 709974^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 99306473139 + ... + 99306473282.

Almost surely, 214300132142312 is an apocalyptic number.

14300132142312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14300132142312 is an abundant number, since it is smaller than the sum of its proper divisors (24429392409978).

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

14300132142312 is a wasteful number, since it uses less digits than its factorization.

14300132142312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198612946433 (or 198612946426 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14300132142312 its reverse (21324123100341), we get a palindrome (35624255242653).

The spelling of 14300132142312 in words is "fourteen trillion, three hundred billion, one hundred thirty-two million, one hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 198612946421 397225892842 595838839263 794451785684 1191677678526 1588903571368 1787516517789 2383355357052 3575033035578 4766710714104 7150066071156 14300132142312