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112434211344 = 24371325740433
BaseRepresentation
bin110100010110110011…
…0011110101000010000
3101202012201210201120210
41220231212132220100
53320231124230334
6123352423204120
711060140012350
oct1505546365020
9352181721523
10112434211344
11437571aa124
1219959ba6640
13a7aa903650
1456285cab60
152dd0b7a5e9
hex1a2d99ea10

112434211344 has 80 divisors (see below), whose sum is σ = 357483147392. Its totient is φ = 29652977664.

The previous prime is 112434211327. The next prime is 112434211391. The reversal of 112434211344 is 443112434211.

It is a happy number.

112434211344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 15 ways as a sum of consecutive naturals, for example, 12865849 + ... + 12874584.

Almost surely, 2112434211344 is an apocalyptic number.

112434211344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112434211344 is an abundant number, since it is smaller than the sum of its proper divisors (245048936048).

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

112434211344 is a wasteful number, since it uses less digits than its factorization.

112434211344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25740464 (or 25740458 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 112434211344 its reverse (443112434211), we get a palindrome (555546645555).

The spelling of 112434211344 in words is "one hundred twelve billion, four hundred thirty-four million, two hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 25740433 51480866 77221299 102961732 154442598 180183031 205923464 308885196 334625629 360366062 411846928 540549093 617770392 669251258 720732124 1003876887 1081098186 1235540784 1338502516 1441464248 2007753774 2162196372 2342379403 2677005032 2882928496 4015507548 4324392744 4684758806 5354010064 7027138209 8031015096 8648785488 9369517612 14054276418 16062030192 18739035224 28108552836 37478070448 56217105672 112434211344