Search a number
-
+
112706397440 = 2857513231
BaseRepresentation
bin110100011110111010…
…0110010010100000000
3101202220200222012201022
41220331310302110000
53321310314204230
6123435425125012
711066653400000
oct1507564622400
9352820865638
10112706397440
114388690660a
1219a15189768
13a822113500
145652800000
152de99e31e5
hex1a3dd32500

112706397440 has 648 divisors, whose sum is σ = 352051757568. Its totient is φ = 34519080960.

The previous prime is 112706397439. The next prime is 112706397467. The reversal of 112706397440 is 44793607211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112706397391 and 112706397400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3635690225 + ... + 3635690255.

Almost surely, 2112706397440 is an apocalyptic number.

112706397440 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 112706397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176025878784).

112706397440 is an abundant number, since it is smaller than the sum of its proper divisors (239345360128).

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

112706397440 is an frugal number, since it uses more digits than its factorization.

112706397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 112706397440 in words is "one hundred twelve billion, seven hundred six million, three hundred ninety-seven thousand, four hundred forty".