Search a number
-
+
133324331410000 = 245417784260773
BaseRepresentation
bin11110010100000111111101…
…011010011110001001010000
3122111001200101220001021201101
4132110013331122132021100
5114433341212320110000
61151320204033114144
740040236135361503
oct3624077532361120
9574050356037641
10133324331410000
1139532593360705
1212b531949b8954
135951579a877c3
1424ccd0986113a
151063112602e6a
hex7941fd69e250

133324331410000 has 100 divisors (see below), whose sum is σ = 341779276787652. Its totient is φ = 50192689408000.

The previous prime is 133324331409991. The next prime is 133324331410021. The reversal of 133324331410000 is 14133423331.

It can be written as a sum of positive squares in 10 ways, for example, as 82618937534016 + 50705393875984 = 9089496^2 + 7120772^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 391960387 + ... + 392300386.

Almost surely, 2133324331410000 is an apocalyptic number.

133324331410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133324331410000 is an abundant number, since it is smaller than the sum of its proper divisors (208454945377652).

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

133324331410000 is an equidigital number, since it uses as much as digits as its factorization.

133324331410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784260818 (or 784260797 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 133324331410000 its reverse (14133423331), we get a palindrome (133338464833331).

The spelling of 133324331410000 in words is "one hundred thirty-three trillion, three hundred twenty-four billion, three hundred thirty-one million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 17000 21250 34000 42500 85000 170000 784260773 1568521546 3137043092 3921303865 6274086184 7842607730 12548172368 13332433141 15685215460 19606519325 26664866282 31370430920 39213038650 53329732564 62740861840 66662165705 78426077300 98032596625 106659465128 133324331410 156852154600 196065193250 213318930256 266648662820 313704309200 333310828525 392130386500 490162983125 533297325640 666621657050 784260773000 980325966250 1066594651280 1333243314100 1568521546000 1666554142625 1960651932500 2666486628200 3333108285250 3921303865000 5332973256400 6666216570500 7842607730000 8332770713125 13332433141000 16665541426250 26664866282000 33331082852500 66662165705000 133324331410000