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2312332233040 = 245179157185677
BaseRepresentation
bin100001101001100001101…
…111011100100101010000
322012001112102001020010001
4201221201233130211100
5300341124022424130
64530134252415344
7326026514452534
oct41514157344520
98161472036101
102312332233040
11811722299315
1231418b477554
1313a08a2cca9b
147dcbb7b3bc4
15402381866ca
hex21a61bdc950

2312332233040 has 80 divisors (see below), whose sum is σ = 5693070187152. Its totient is φ = 870425321472.

The previous prime is 2312332233037. The next prime is 2312332233061. The reversal of 2312332233040 is 403322332132.

It can be written as a sum of positive squares in 8 ways, for example, as 355220768016 + 1957111465024 = 596004^2 + 1398968^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12360682 + ... + 12546358.

Almost surely, 22312332233040 is an apocalyptic number.

2312332233040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312332233040 is an abundant number, since it is smaller than the sum of its proper divisors (3380737954112).

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

2312332233040 is a wasteful number, since it uses less digits than its factorization.

2312332233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194864 (or 194858 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 2312332233040 its reverse (403322332132), we get a palindrome (2715654565172).

The spelling of 2312332233040 in words is "two trillion, three hundred twelve billion, three hundred thirty-two million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 9157 18314 36628 45785 73256 91570 146512 155669 183140 185677 311338 366280 371354 622676 732560 742708 778345 928385 1245352 1485416 1556690 1856770 2490704 2970832 3113380 3156509 3713540 6226760 6313018 7427080 12453520 12626036 14854160 15782545 25252072 31565090 50504144 63130180 126260360 252520720 1700244289 3400488578 6800977156 8501221445 13601954312 17002442890 27203908624 28904152913 34004885780 57808305826 68009771560 115616611652 136019543120 144520764565 231233223304 289041529130 462466446608 578083058260 1156166116520 2312332233040