Search a number
-
+
112140412224 = 2633715785531
BaseRepresentation
bin110100001110000010…
…1101110010101000000
3101201110020222011221220
41220130011232111000
53314130421142344
6123303330115040
711046641530221
oct1503405562500
9351406864856
10112140412224
1143616380535
121989771ba80
13a761a97109
1455db58d248
152db4e93c19
hex1a1c16e540

112140412224 has 56 divisors (see below), whose sum is σ = 304723909728. Its totient is φ = 36369861120.

The previous prime is 112140412171. The next prime is 112140412291. The reversal of 112140412224 is 422214041211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 112140412194 and 112140412203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7885662 + ... + 7899869.

It is an arithmetic number, because the mean of its divisors is an integer number (5441498388).

Almost surely, 2112140412224 is an apocalyptic number.

It is an amenable number.

112140412224 is an abundant number, since it is smaller than the sum of its proper divisors (192583497504).

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

112140412224 is a wasteful number, since it uses less digits than its factorization.

112140412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15785583 (or 15785573 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 112140412224 its reverse (422214041211), we get a palindrome (534354453435).

The spelling of 112140412224 in words is "one hundred twelve billion, one hundred forty million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 15785531 31571062 47356593 63142124 94713186 126284248 189426372 252568496 378852744 505136992 584064647 757705488 1010273984 1168129294 1515410976 1752193941 2336258588 3030821952 3504387882 4672517176 7008775764 9345034352 14017551528 18690068704 28035103056 37380137408 56070206112 112140412224