Search a number
-
+
14201424540324 = 2232756354859287
BaseRepresentation
bin1100111010101000011011…
…0111010111001010100100
31212021122100200201210012200
43032222012313113022210
53330134004140242244
650112013330014500
72664006352606260
oct316520667271244
955248320653180
1014201424540324
114585876a1703a
1217143b8417430
137c025b434798
143714d180d0a0
15199629463669
hexcea86dd72a4

14201424540324 has 36 divisors (see below), whose sum is σ = 41026337561664. Its totient is φ = 4057549868592.

The previous prime is 14201424540323. The next prime is 14201424540349. The reversal of 14201424540324 is 42304542410241.

14201424540324 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 1 + 4 + 245 + 403 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14201424540323) 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 11 ways as a sum of consecutive naturals, for example, 28177429392 + ... + 28177429895.

It is an arithmetic number, because the mean of its divisors is an integer number (1139620487824).

Almost surely, 214201424540324 is an apocalyptic number.

14201424540324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14201424540324 is an abundant number, since it is smaller than the sum of its proper divisors (26824913021340).

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

14201424540324 is a wasteful number, since it uses less digits than its factorization.

14201424540324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56354859304 (or 56354859299 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 14201424540324 its reverse (42304542410241), we get a palindrome (56505966950565).

The spelling of 14201424540324 in words is "fourteen trillion, two hundred one billion, four hundred twenty-four million, five hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 56354859287 112709718574 169064577861 225419437148 338129155722 394484015009 507193733583 676258311444 788968030018 1014387467166 1183452045027 1577936060036 2028774934332 2366904090054 3550356135081 4733808180108 7100712270162 14201424540324