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14144334430 = 2529432514519
BaseRepresentation
bin11010010110001000…
…10110101001011110
31100111202001122012011
431023010112221132
5212431422200210
610255310101434
71010336600422
oct151304265136
940452048164
1014144334430
115aa9120896
1228a8aaa87a
1314454a6075
14982728b82
1557bb43d8a
hex34b116a5e

14144334430 has 64 divisors (see below), whose sum is σ = 27063590400. Its totient is φ = 5313168000.

The previous prime is 14144334419. The next prime is 14144334467. The reversal of 14144334430 is 3443344141.

It is a happy number.

14144334430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14144334392 and 14144334401.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3127711 + ... + 3132229.

It is an arithmetic number, because the mean of its divisors is an integer number (422868600).

Almost surely, 214144334430 is an apocalyptic number.

14144334430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14144334430 is a deficient number, since it is larger than the sum of its proper divisors (12919255970).

14144334430 is a wasteful number, since it uses less digits than its factorization.

14144334430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 14144334430 its reverse (3443344141), we get a palindrome (17587678571).

The spelling of 14144334430 in words is "fourteen billion, one hundred forty-four million, three hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 5 10 29 43 58 86 145 215 251 290 430 502 1247 1255 2494 2510 4519 6235 7279 9038 10793 12470 14558 21586 22595 36395 45190 53965 72790 107930 131051 194317 262102 312997 388634 625994 655255 971585 1134269 1310510 1564985 1943170 2268538 3129970 5635193 5671345 11270386 11342690 28175965 32893801 48773567 56351930 65787602 97547134 164469005 243867835 328938010 487735670 1414433443 2828866886 7072167215 14144334430