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114436253775088 = 2472349941716093
BaseRepresentation
bin11010000001010001000100…
…010000010111010011110000
3120000011222222021200110001201
4122001101010100113103300
5104444410421431300323
61043215142250140544
733050514022445200
oct3201210420272360
9500158867613051
10114436253775088
11335101629aaa53
1210a02619a21754
134bb13a5600b3b
142038a5c27a400
15d36b39c558ad
hex6814444174f0

114436253775088 has 60 divisors (see below), whose sum is σ = 257993183343000. Its totient is φ = 49030090978176.

The previous prime is 114436253775073. The next prime is 114436253775097. The reversal of 114436253775088 is 880577352634411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 18114831 + ... + 23601262.

It is an arithmetic number, because the mean of its divisors is an integer number (4299886389050).

Almost surely, 2114436253775088 is an apocalyptic number.

It is an amenable number.

114436253775088 is an abundant number, since it is smaller than the sum of its proper divisors (143556929567912).

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

114436253775088 is a wasteful number, since it uses less digits than its factorization.

114436253775088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41719614 (or 41719601 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 64.

The spelling of 114436253775088 in words is "one hundred fourteen trillion, four hundred thirty-six billion, two hundred fifty-three million, seven hundred seventy-five thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 3499 6998 13996 24493 27992 48986 55984 97972 171451 195944 342902 391888 685804 1371608 2743216 41716093 83432186 166864372 292012651 333728744 584025302 667457488 1168050604 2044088557 2336101208 4088177114 4672202416 8176354228 16352708456 32705416912 145964609407 291929218814 583858437628 1021752265849 1167716875256 2043504531698 2335433750512 4087009063396 7152265860943 8174018126792 14304531721886 16348036253584 28609063443772 57218126887544 114436253775088