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2312244121140 = 2232512845800673
BaseRepresentation
bin100001101001011100011…
…111010100111000110100
322012001022021020200022100
4201221130133110320310
5300340433443334030
64530121424102100
7326024364512532
oct41513437247064
98161267220270
102312244121140
11811687587568
12314165a64930
1313a074c8c375
147dcadbd9152
154023057e360
hex21a5c7d4e34

2312244121140 has 36 divisors (see below), whose sum is σ = 7013807168004. Its totient is φ = 616598432256.

The previous prime is 2312244121111. The next prime is 2312244121153. The reversal of 2312244121140 is 411214422132.

2312244121140 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 2 + 441 + 211 + 4 + 0 = 666.

2312244121140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1736354373264 + 575889747876 = 1317708^2 + 758874^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6422900157 + ... + 6422900516.

It is an arithmetic number, because the mean of its divisors is an integer number (194827976889).

Almost surely, 22312244121140 is an apocalyptic number.

2312244121140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312244121140 is an abundant number, since it is smaller than the sum of its proper divisors (4701563046864).

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

2312244121140 is a wasteful number, since it uses less digits than its factorization.

2312244121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12845800688 (or 12845800683 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 2312244121140 its reverse (411214422132), we get a palindrome (2723458543272).

The spelling of 2312244121140 in words is "two trillion, three hundred twelve billion, two hundred forty-four million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12845800673 25691601346 38537402019 51383202692 64229003365 77074804038 115612206057 128458006730 154149608076 192687010095 231224412114 256916013460 385374020190 462448824228 578061030285 770748040380 1156122060570 2312244121140