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114306324012 = 223318114833943
BaseRepresentation
bin110101001110100110…
…0000001011000101100
3101221001012111220101000
41222131030001120230
53333044404332022
6124302301120300
711154421502646
oct1523514013054
9357035456330
10114306324012
1144527a38081
121a1a0b59090
13aa18721a1a
1457650b5896
152e901ca6ac
hex1a9d30162c

114306324012 has 96 divisors (see below), whose sum is σ = 298263580160. Its totient is φ = 37856445120.

The previous prime is 114306323941. The next prime is 114306324019. The reversal of 114306324012 is 210423603411.

It is a happy number.

114306324012 is a `hidden beast` number, since 1 + 14 + 3 + 0 + 632 + 4 + 0 + 12 = 666.

It is a super-2 number, since 2×1143063240122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114306324019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28987713 + ... + 28991655.

Almost surely, 2114306324012 is an apocalyptic number.

114306324012 is a gapful number since it is divisible by the number (12) 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 114306324012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149131790080).

114306324012 is an abundant number, since it is smaller than the sum of its proper divisors (183957256148).

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

114306324012 is a wasteful number, since it uses less digits than its factorization.

114306324012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5620 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 114306324012 its reverse (210423603411), we get a palindrome (324729927423).

The spelling of 114306324012 in words is "one hundred fourteen billion, three hundred six million, three hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 181 362 543 724 1086 1483 1629 2172 2966 3258 3943 4449 4887 5932 6516 7886 8898 9774 11829 13347 15772 17796 19548 23658 26694 35487 40041 47316 53388 70974 80082 106461 141948 160164 212922 268423 425844 536846 713683 805269 1073692 1427366 1610538 2141049 2415807 2854732 3221076 4282098 4831614 5847469 6423147 7247421 8564196 9663228 11694938 12846294 14494842 17542407 19269441 23389876 25692588 28989684 35084814 38538882 52627221 70169628 77077764 105254442 157881663 210508884 315763326 631526652 1058391889 2116783778 3175175667 4233567556 6350351334 9525527001 12700702668 19051054002 28576581003 38102108004 57153162006 114306324012