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12314037024 = 253242757073
BaseRepresentation
bin10110111011111100…
…10100101100100000
31011210012000220011100
423131332110230200
5200204343141044
65353524314400
7614103405402
oct133576245440
934705026140
1012314037024
115249a53303
122477b42a00
131213238853
1484b606b72
154c1103869
hex2ddf94b20

12314037024 has 36 divisors (see below), whose sum is σ = 35018043606. Its totient is φ = 4104678912.

The previous prime is 12314036951. The next prime is 12314037041. The reversal of 12314037024 is 42073041321.

It is a happy number.

12314037024 is a `hidden beast` number, since 1 + 231 + 40 + 370 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8328387600 + 3985649424 = 91260^2 + 63132^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21378249 + ... + 21378824.

Almost surely, 212314037024 is an apocalyptic number.

It is an amenable number.

12314037024 is an abundant number, since it is smaller than the sum of its proper divisors (22704006582).

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

12314037024 is a wasteful number, since it uses less digits than its factorization.

12314037024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42757089 (or 42757078 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 12314037024 its reverse (42073041321), we get a palindrome (54387078345).

The spelling of 12314037024 in words is "twelve billion, three hundred fourteen million, thirty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42757073 85514146 128271219 171028292 256542438 342056584 384813657 513084876 684113168 769627314 1026169752 1368226336 1539254628 2052339504 3078509256 4104679008 6157018512 12314037024