Search a number
-
+
122440414430142 = 23254155272274917
BaseRepresentation
bin11011110101101111100001…
…011010001000001110111110
3121001112012010000002000200100
4123311233201122020032332
5112022030432043231032
61112224203323341530
734535012416446204
oct3365574132101676
9531465100060610
10122440414430142
1136016762a26986
12118959330818a6
13534210a1a6363
14223420d32d074
15e24e520c797c
hex6f5be16883be

122440414430142 has 48 divisors (see below), whose sum is σ = 265826133829152. Its totient is φ = 40730642043840.

The previous prime is 122440414430107. The next prime is 122440414430153. The reversal of 122440414430142 is 241034414044221.

122440414430142 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 40 + 41 + 4 + 430 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122440414430097 and 122440414430106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52684468 + ... + 54959384.

It is an arithmetic number, because the mean of its divisors is an integer number (5538044454774).

Almost surely, 2122440414430142 is an apocalyptic number.

122440414430142 is an abundant number, since it is smaller than the sum of its proper divisors (143385719399010).

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

122440414430142 is a wasteful number, since it uses less digits than its factorization.

122440414430142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280993 (or 2280990 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 122440414430142 its reverse (241034414044221), we get a palindrome (363474828474363).

The spelling of 122440414430142 in words is "one hundred twenty-two trillion, four hundred forty billion, four hundred fourteen million, four hundred thirty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 541 1082 1623 3246 4869 5527 9738 11054 16581 33162 49743 99486 2274917 2990107 4549834 5980214 6824751 8970321 13649502 17940642 20474253 26910963 40948506 53821926 1230730097 2461460194 3692190291 7384380582 11076570873 12573466259 22153141746 25146932518 37720398777 75440797554 113161196331 226322392662 6802245246119 13604490492238 20406735738357 40813471476714 61220207215071 122440414430142