Search a number
-
+
14314311344144 = 247127806351287
BaseRepresentation
bin1101000001001100111101…
…1100010110000000010000
31212200102201222011120221202
43100103033130112000100
53334011202201003034
650235523122010332
73005113656606350
oct320231734260020
955612658146852
1014314311344144
114619735642629
121732261aa69a8
137caaaba31b16
14376b60170b60
1519c534be047e
hexd04cf716010

14314311344144 has 20 divisors (see below), whose sum is σ = 31695975119424. Its totient is φ = 6134704861728.

The previous prime is 14314311344093. The next prime is 14314311344183. The reversal of 14314311344144 is 44144311341341.

It is a junction number, because it is equal to n+sod(n) for n = 14314311344098 and 14314311344107.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 63903175532 + ... + 63903175755.

Almost surely, 214314311344144 is an apocalyptic number.

14314311344144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14314311344144 is an abundant number, since it is smaller than the sum of its proper divisors (17381663775280).

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

14314311344144 is a wasteful number, since it uses less digits than its factorization.

14314311344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127806351302 (or 127806351296 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

Adding to 14314311344144 its reverse (44144311341341), we get a palindrome (58458622685485).

The spelling of 14314311344144 in words is "fourteen trillion, three hundred fourteen billion, three hundred eleven million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 127806351287 255612702574 511225405148 894644459009 1022450810296 1789288918018 2044901620592 3578577836036 7157155672072 14314311344144