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14213400012 = 2232731151069
BaseRepresentation
bin11010011110010111…
…10100010111001100
31100200120000112100200
431033023310113030
5213102112300022
610310214253500
71012135623000
oct151713642714
940616015320
1014213400012
116034103889
122908057290
1314568a8486
1498b986700
15582c37bac
hex34f2f45cc

14213400012 has 72 divisors (see below), whose sum is σ = 41898948000. Its totient is φ = 4060967904.

The previous prime is 14213400007. The next prime is 14213400017. The reversal of 14213400012 is 21000431241.

It is an interprime number because it is at equal distance from previous prime (14213400007) and next prime (14213400017).

It is a super-2 number, since 2×142134000122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14213400017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 563187 + ... + 587882.

Almost surely, 214213400012 is an apocalyptic number.

14213400012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14213400012 is an abundant number, since it is smaller than the sum of its proper divisors (27685547988).

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

14213400012 is a wasteful number, since it uses less digits than its factorization.

14213400012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151100 (or 1151081 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14213400012 its reverse (21000431241), we get a palindrome (35213831253).

The spelling of 14213400012 in words is "fourteen billion, two hundred thirteen million, four hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 4116 6174 12348 1151069 2302138 3453207 4604276 6906414 8057483 10359621 13812828 16114966 20719242 24172449 32229932 41438484 48344898 56402381 72517347 96689796 112804762 145034694 169207143 225609524 290069388 338414286 394816667 507621429 676828572 789633334 1015242858 1184450001 1579266668 2030485716 2368900002 3553350003 4737800004 7106700006 14213400012