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114564121344 = 283249724011
BaseRepresentation
bin110101010110010001…
…1011100001100000000
3101221201011121100211100
41222230203130030000
53334111403340334
6124344030414400
711164001651451
oct1525443341400
9357634540740
10114564121344
114464a507022
121a253361400
13aa59c6451a
14578b421128
152ea7b4ec99
hex1aac8dc300

114564121344 has 54 divisors (see below), whose sum is σ = 330316611716. Its totient is φ = 38188039680.

The previous prime is 114564121333. The next prime is 114564121351. The reversal of 114564121344 is 443121465411.

114564121344 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 641 + 2 + 1 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114564121299 and 114564121308.

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, 24859702 + ... + 24864309.

Almost surely, 2114564121344 is an apocalyptic number.

It is an amenable number.

114564121344 is an abundant number, since it is smaller than the sum of its proper divisors (215752490372).

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

114564121344 is an equidigital number, since it uses as much as digits as its factorization.

114564121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49724033 (or 49724016 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 114564121344 its reverse (443121465411), we get a palindrome (557685586755).

The spelling of 114564121344 in words is "one hundred fourteen billion, five hundred sixty-four million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 49724011 99448022 149172033 198896044 298344066 397792088 447516099 596688132 795584176 895032198 1193376264 1591168352 1790064396 2386752528 3182336704 3580128792 4773505056 6364673408 7160257584 9547010112 12729346816 14320515168 19094020224 28641030336 38188040448 57282060672 114564121344