Search a number
-
+
14435166153441 = 311437429277377
BaseRepresentation
bin1101001000001111001011…
…1100110110101011100001
31220002222200112211000100210
43102003302330312223201
53343001210013402231
650411231312004333
73016622605543215
oct322036274665341
956088615730323
1014435166153441
114665a12a73610
12175176bb306a9
138092cc04c4b7
1437c946c2c945
151a0759c47a46
hexd20f2f36ae1

14435166153441 has 8 divisors (see below), whose sum is σ = 20996605314144. Its totient is φ = 8748585547520.

The previous prime is 14435166153433. The next prime is 14435166153467.

It is a happy number.

14435166153441 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 14435166153441 - 23 = 14435166153433 is a prime.

It is a super-2 number, since 2×144351661534412 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14435166153341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218714638656 + ... + 218714638721.

It is an arithmetic number, because the mean of its divisors is an integer number (2624575664268).

Almost surely, 214435166153441 is an apocalyptic number.

14435166153441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14435166153441 is a deficient number, since it is larger than the sum of its proper divisors (6561439160703).

14435166153441 is a wasteful number, since it uses less digits than its factorization.

14435166153441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437429277391.

The product of its digits is 2073600, while the sum is 48.

It can be divided in two parts, 1443516 and 6153441, that added together give a palindrome (7596957).

The spelling of 14435166153441 in words is "fourteen trillion, four hundred thirty-five billion, one hundred sixty-six million, one hundred fifty-three thousand, four hundred forty-one".

Divisors: 1 3 11 33 437429277377 1312287832131 4811722051147 14435166153441