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112840277040 = 24310523887
BaseRepresentation
bin110100100010111001…
…1011111110000110000
3101210021000220000000000
41221011303133300300
53322044102331130
6123501010430000
711103200346351
oct1510563376060
9353230800000
10112840277040
1143945438307
1219a51b92300
13a843a89aca
1456664cdd28
152e0663b260
hex1a45cdfc30

112840277040 has 220 divisors, whose sum is σ = 393544719264. Its totient is φ = 30089480832.

The previous prime is 112840276999. The next prime is 112840277041. The reversal of 112840277040 is 40772048211.

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

It is a junction number, because it is equal to n+sod(n) for n = 112840276986 and 112840277004.

It is not an unprimeable number, because it can be changed into a prime (112840277041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 4711977 + ... + 4735863.

Almost surely, 2112840277040 is an apocalyptic number.

112840277040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112840277040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196772359632).

112840277040 is an abundant number, since it is smaller than the sum of its proper divisors (280704442224).

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

112840277040 is an frugal number, since it uses more digits than its factorization.

112840277040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23930 (or 23897 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 112840277040 in words is "one hundred twelve billion, eight hundred forty million, two hundred seventy-seven thousand, forty".