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13114143288 = 2332318157259
BaseRepresentation
bin11000011011010100…
…11111001000111000
31020211221120111121200
430031222133020320
5203324210041123
610005145334200
7642660243621
oct141552371070
936757514550
1013114143288
11561a656a54
12265ba97360
13130cc27bcc
148c599ca48
1551b49c143
hex30da9f238

13114143288 has 48 divisors (see below), whose sum is σ = 35529257400. Its totient is φ = 4369930560.

The previous prime is 13114143283. The next prime is 13114143299. The reversal of 13114143288 is 88234141131.

13114143288 is a `hidden beast` number, since 1 + 3 + 1 + 141 + 432 + 88 = 666.

13114143288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1145172-1.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114143283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200403 + ... + 257661.

Almost surely, 213114143288 is an apocalyptic number.

13114143288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13114143288 is an abundant number, since it is smaller than the sum of its proper divisors (22415114112).

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

13114143288 is a wasteful number, since it uses less digits than its factorization.

13114143288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60452 (or 60445 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 13114143288 in words is "thirteen billion, one hundred fourteen million, one hundred forty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3181 6362 9543 12724 19086 25448 28629 38172 57258 57259 76344 114516 114518 171777 229032 229036 343554 458072 515331 687108 1030662 1374216 2061324 4122648 182140879 364281758 546422637 728563516 1092845274 1457127032 1639267911 2185690548 3278535822 4371381096 6557071644 13114143288