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14245312004 = 22711113563727
BaseRepresentation
bin11010100010001011…
…00011011000000100
31100202210001211101022
431101011203120010
5213133244441004
610313314250312
71013004103610
oct152105433004
940683054338
1014245312004
11605011a830
122916886998
13146039c801
14991cd2340
1558593d2be
hex351163604

14245312004 has 96 divisors (see below), whose sum is σ = 31454631936. Its totient is φ = 5483681280.

The previous prime is 14245311991. The next prime is 14245312031. The reversal of 14245312004 is 40021354241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19594289 + ... + 19595015.

It is an arithmetic number, because the mean of its divisors is an integer number (327652416).

Almost surely, 214245312004 is an apocalyptic number.

14245312004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14245312004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15727315968).

14245312004 is an abundant number, since it is smaller than the sum of its proper divisors (17209319932).

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

14245312004 is a wasteful number, since it uses less digits than its factorization.

14245312004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 14245312004 its reverse (40021354241), we get a palindrome (54266666245).

The spelling of 14245312004 in words is "fourteen billion, two hundred forty-five million, three hundred twelve thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 113 154 226 308 452 563 727 791 1126 1243 1454 1582 2252 2486 2908 3164 3941 4972 5089 6193 7882 7997 8701 10178 12386 15764 15994 17402 20356 24772 31988 34804 43351 55979 63619 82151 86702 111958 127238 164302 173404 223916 254476 328604 409301 445333 575057 699809 818602 890666 903661 1150114 1399618 1637204 1781332 1807322 2300228 2799236 2865107 3614644 4502311 4898663 5730214 6325627 9004622 9797326 11460428 12651254 18009244 19594652 25302508 31516177 46251013 63032354 92502026 126064708 185004052 323757091 508761143 647514182 1017522286 1295028364 2035044572 3561328001 7122656002 14245312004