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112240255440 = 2435467667731
BaseRepresentation
bin110100010001000001…
…0100110000111010000
3101201201012211202002210
41220202002212013100
53314332001133230
6123321254112120
711052263300265
oct1504202460720
9351635752083
10112240255440
1143667775195
121990504b640
13a779684441
14560a93d26c
152dbdb16eb0
hex1a220a61d0

112240255440 has 40 divisors (see below), whose sum is σ = 347944792608. Its totient is φ = 29930734720.

The previous prime is 112240255373. The next prime is 112240255447. The reversal of 112240255440 is 44552042211.

112240255440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 112240255398 and 112240255407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112240255447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233833626 + ... + 233834105.

Almost surely, 2112240255440 is an apocalyptic number.

112240255440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112240255440 is an abundant number, since it is smaller than the sum of its proper divisors (235704537168).

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

112240255440 is a wasteful number, since it uses less digits than its factorization.

112240255440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467667747 (or 467667741 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 112240255440 its reverse (44552042211), we get a palindrome (156792297651).

The spelling of 112240255440 in words is "one hundred twelve billion, two hundred forty million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 467667731 935335462 1403003193 1870670924 2338338655 2806006386 3741341848 4676677310 5612012772 7015015965 7482683696 9353354620 11224025544 14030031930 18706709240 22448051088 28060063860 37413418480 56120127720 112240255440