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14222144313 = 32131037571559
BaseRepresentation
bin11010011111011010…
…01011001100111001
31100201011110210021200
431033231023030321
5213111332104223
610311125524413
71012303142406
oct151755131471
940634423250
1014222144313
116039036583
12290ab73709
13145864a610
1498cbc12ad
155838b3a43
hex34fb4b339

14222144313 has 48 divisors (see below), whose sum is σ = 22381981440. Its totient is φ = 8650115712.

The previous prime is 14222144273. The next prime is 14222144333. The reversal of 14222144313 is 31344122241.

14222144313 is a `hidden beast` number, since 1 + 4 + 2 + 221 + 4 + 431 + 3 = 666.

It is not a de Polignac number, because 14222144313 - 213 = 14222136121 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14222144333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9121828 + ... + 9123386.

It is an arithmetic number, because the mean of its divisors is an integer number (466291280).

Almost surely, 214222144313 is an apocalyptic number.

14222144313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

14222144313 is a deficient number, since it is larger than the sum of its proper divisors (8159837127).

14222144313 is a wasteful number, since it uses less digits than its factorization.

14222144313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2435 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 14222144313 its reverse (31344122241), we get a palindrome (45566266554).

The spelling of 14222144313 in words is "fourteen billion, two hundred twenty-two million, one hundred forty-four thousand, three hundred thirteen".

Divisors: 1 3 9 13 39 103 117 309 757 927 1339 1559 2271 4017 4677 6813 9841 12051 14031 20267 29523 60801 77971 88569 160577 182403 233913 481731 701739 1013623 1180163 1445193 2087501 3040869 3540489 6262503 9122607 10621467 15342119 18787509 46026357 121556789 138079071 364670367 1094011101 1580238257 4740714771 14222144313