Search a number
-
+
1212314404240 = 24589170268877
BaseRepresentation
bin10001101001000011100…
…100011100010110010000
311021220012021102122212101
4101221003210130112100
5124330304441413430
62324532441010144
7153405165261142
oct21510344342620
94256167378771
101212314404240
11428159970285
12176b55783954
138a422921734
1442967bc8c92
1521805d62dca
hex11a4391c590

1212314404240 has 40 divisors (see below), whose sum is σ = 2850301017720. Its totient is φ = 479477154816.

The previous prime is 1212314404207. The next prime is 1212314404243. The reversal of 1212314404240 is 424044132121.

It can be written as a sum of positive squares in 4 ways, for example, as 80082208144 + 1132232196096 = 282988^2 + 1064064^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×12123144042402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1212314404199 and 1212314404208.

It is not an unprimeable number, because it can be changed into a prime (1212314404243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85127319 + ... + 85141558.

It is an arithmetic number, because the mean of its divisors is an integer number (71257525443).

Almost surely, 21212314404240 is an apocalyptic number.

1212314404240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1212314404240 is an abundant number, since it is smaller than the sum of its proper divisors (1637986613480).

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

1212314404240 is a wasteful number, since it uses less digits than its factorization.

1212314404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170268979 (or 170268973 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1212314404240 its reverse (424044132121), we get a palindrome (1636358536361).

The spelling of 1212314404240 in words is "one trillion, two hundred twelve billion, three hundred fourteen million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 170268877 340537754 681075508 851344385 1362151016 1702688770 2724302032 3405377540 6810755080 13621510160 15153930053 30307860106 60615720212 75769650265 121231440424 151539300530 242462880848 303078601060 606157202120 1212314404240