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14214123321012 = 223217118147196583
BaseRepresentation
bin1100111011010111101111…
…0001010111011010110100
31212022212010200201200110100
43032311323301113122310
53330341011032233022
650121513400554100
72664636140505426
oct316657361273264
955285120650410
1014214123321012
1145901a3064a0a
121716961182930
137c150329c6b4
14371d78168816
15199b1e2151ac
hexced7bc576b4

14214123321012 has 72 divisors (see below), whose sum is σ = 38044198535616. Its totient is φ = 4459272378624.

The previous prime is 14214123320993. The next prime is 14214123321017. The reversal of 14214123321012 is 21012332141241.

14214123321012 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 412 + 33 + 210 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14214123321017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72207673 + ... + 72404255.

It is an arithmetic number, because the mean of its divisors is an integer number (528391646328).

Almost surely, 214214123321012 is an apocalyptic number.

14214123321012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14214123321012 is an abundant number, since it is smaller than the sum of its proper divisors (23830075214604).

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

14214123321012 is a wasteful number, since it uses less digits than its factorization.

14214123321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314757 (or 314752 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14214123321012 its reverse (21012332141241), we get a palindrome (35226455462253).

The spelling of 14214123321012 in words is "fourteen trillion, two hundred fourteen billion, one hundred twenty-three million, three hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 118147 196583 236294 354441 393166 472588 589749 708882 786332 1063323 1179498 1417764 1769247 2008499 2126646 2358996 3341911 3538494 4016998 4253292 6025497 6683822 7076988 8033996 10025733 12050994 13367644 18076491 20051466 24101988 30077199 36152982 40102932 60154398 72305964 120308796 23225691701 46451383402 69677075103 92902766804 139354150206 209031225309 278708300412 394836758917 418062450618 789673517834 836124901236 1184510276751 1579347035668 2369020553502 3553530830253 4738041107004 7107061660506 14214123321012