Search a number
-
+
120441124132344 = 2334185865932303
BaseRepresentation
bin11011011000101001100010…
…011010111001010111111000
3120210110001121000122210010000
4123120221202122321113320
5111241301410234213334
61104053515533553000
734240404222351561
oct3330514232712770
9523401530583100
10120441124132344
1135415880751944
1211612368945760
13522871a99a522
1421a554ac21168
15ddce3b587299
hex6d8a626b95f8

120441124132344 has 40 divisors (see below), whose sum is σ = 337346667131760. Its totient is φ = 40147041377232.

The previous prime is 120441124132309. The next prime is 120441124132397. The reversal of 120441124132344 is 443231421144021.

120441124132344 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 4 + 1 + 1 + 2 + 413 + 234 + 4 = 666.

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 = 120441124132299 and 120441124132308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 92932965504 + ... + 92932966799.

It is an arithmetic number, because the mean of its divisors is an integer number (8433666678294).

Almost surely, 2120441124132344 is an apocalyptic number.

It is an amenable number.

120441124132344 is an abundant number, since it is smaller than the sum of its proper divisors (216905542999416).

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

120441124132344 is a wasteful number, since it uses less digits than its factorization.

120441124132344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185865932321 (or 185865932308 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 120441124132344 its reverse (443231421144021), we get a palindrome (563672545276365).

The spelling of 120441124132344 in words is "one hundred twenty trillion, four hundred forty-one billion, one hundred twenty-four million, one hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 185865932303 371731864606 557597796909 743463729212 1115195593818 1486927458424 1672793390727 2230391187636 3345586781454 4460782375272 5018380172181 6691173562908 10036760344362 13382347125816 15055140516543 20073520688724 30110281033086 40147041377448 60220562066172 120441124132344