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112443224140 = 2251311318772039
BaseRepresentation
bin110100010111000100…
…0110111000001001100
3101202020100202121211001
41220232020313001030
53320240431133030
6123353344310044
711060306430622
oct1505610670114
9352210677731
10112443224140
11437612a5615
1219961012324
13a7ac73aa70
145629895512
152dd185acca
hex1a2e23704c

112443224140 has 96 divisors (see below), whose sum is σ = 256807635840. Its totient is φ = 41107992576.

The previous prime is 112443224119. The next prime is 112443224167. The reversal of 112443224140 is 41422344211.

It is a junction number, because it is equal to n+sod(n) for n = 112443224099 and 112443224108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55145241 + ... + 55147279.

It is an arithmetic number, because the mean of its divisors is an integer number (2675079540).

Almost surely, 2112443224140 is an apocalyptic number.

112443224140 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 112443224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128403817920).

112443224140 is an abundant number, since it is smaller than the sum of its proper divisors (144364411700).

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

112443224140 is a wasteful number, since it uses less digits than its factorization.

112443224140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 112443224140 its reverse (41422344211), we get a palindrome (153865568351).

The spelling of 112443224140 in words is "one hundred twelve billion, four hundred forty-three million, two hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1130 1469 1877 2039 2260 2938 3754 4078 5876 7345 7508 8156 9385 10195 14690 18770 20390 24401 26507 29380 37540 40780 48802 53014 97604 106028 122005 132535 212101 230407 244010 265070 424202 460814 488020 530140 848404 921628 1060505 1152035 2121010 2304070 2757313 2995291 3827203 4242020 4608140 5514626 5990582 7654406 11029252 11981164 13786565 14976455 15308812 19136015 27573130 29952910 38272030 49753639 55146260 59905820 76544060 99507278 199014556 248768195 432473939 497536390 864947878 995072780 1729895756 2162369695 4324739390 5622161207 8649478780 11244322414 22488644828 28110806035 56221612070 112443224140