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14311221312 = 263167446333
BaseRepresentation
bin11010101010000001…
…11110100001000000
31100221101002100221210
431111000332201000
5213302133040222
610324031050120
71014434242203
oct152500764100
940841070853
1014311221312
116084347433
122934970940
131470c383bb
1499a96b93a
1558b60bd0c
hex35503e840

14311221312 has 56 divisors (see below), whose sum is σ = 38091928896. Its totient is φ = 4741831168.

The previous prime is 14311221289. The next prime is 14311221317. The reversal of 14311221312 is 21312211341.

It is a super-2 number, since 2×143112213122 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14311221317) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 191103 + ... + 255230.

It is an arithmetic number, because the mean of its divisors is an integer number (680213016).

Almost surely, 214311221312 is an apocalyptic number.

14311221312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14311221312 is an abundant number, since it is smaller than the sum of its proper divisors (23780707584).

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

14311221312 is a wasteful number, since it uses less digits than its factorization.

14311221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446515 (or 446505 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 14311221312 its reverse (21312211341), we get a palindrome (35623432653).

The spelling of 14311221312 in words is "fourteen billion, three hundred eleven million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 167 192 334 501 668 1002 1336 2004 2672 4008 5344 8016 10688 16032 32064 446333 892666 1338999 1785332 2677998 3570664 5355996 7141328 10711992 14282656 21423984 28565312 42847968 74537611 85695936 149075222 223612833 298150444 447225666 596300888 894451332 1192601776 1788902664 2385203552 3577805328 4770407104 7155610656 14311221312