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114134563152 = 24323221246073
BaseRepresentation
bin110101001001011110…
…0110011100101010000
3101220121020022112202200
41222102330303211100
53332221422010102
6124233243443200
711150234531301
oct1522274634520
9356536275680
10114134563152
1144449a92655
121a153526500
13a9bbc7408c
14574a3647a8
152e8009d51c
hex1a92f33950

114134563152 has 60 divisors (see below), whose sum is σ = 319518722484. Its totient is φ = 38032888320.

The previous prime is 114134563141. The next prime is 114134563163. The reversal of 114134563152 is 251365431411.

114134563152 is a `hidden beast` number, since 1 + 1 + 4 + 13 + 4 + 5 + 631 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (114134563141) and next prime (114134563163).

It can be written as a sum of positive squares in 2 ways, for example, as 67545930816 + 46588632336 = 259896^2 + 215844^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340788 + ... + 586860.

Almost surely, 2114134563152 is an apocalyptic number.

114134563152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114134563152 is an abundant number, since it is smaller than the sum of its proper divisors (205384159332).

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

114134563152 is a wasteful number, since it uses less digits than its factorization.

114134563152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249308 (or 249299 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

Adding to 114134563152 its reverse (251365431411), we get a palindrome (365499994563).

The spelling of 114134563152 in words is "one hundred fourteen billion, one hundred thirty-four million, five hundred sixty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3221 6442 9663 12884 19326 25768 28989 38652 51536 57978 77304 115956 154608 231912 246073 463824 492146 738219 984292 1476438 1968584 2214657 2952876 3937168 4429314 5905752 8858628 11811504 17717256 35434512 792601133 1585202266 2377803399 3170404532 4755606798 6340809064 7133410197 9511213596 12681618128 14266820394 19022427192 28533640788 38044854384 57067281576 114134563152