Search a number
-
+
313330140300420 = 223251740723001669
BaseRepresentation
bin100011100111110001101101…
…1101101011100010010000100
31112002102001212012200001020200
41013033203123231130102010
5312032100111404103140
63030221513533130500
7122666232653504115
oct10717433355342204
91462361765601220
10313330140300420
1190922625777301
122b185592029a30
13105aaba0367c09
14575338c8ca20c
152635681794030
hex11cf8dbb5c484

313330140300420 has 36 divisors (see below), whose sum is σ = 950434758911820. Its totient is φ = 83554704080064.

The previous prime is 313330140300379. The next prime is 313330140300427. The reversal of 313330140300420 is 24003041033313.

313330140300420 is a `hidden beast` number, since 3 + 1 + 3 + 330 + 1 + 4 + 0 + 300 + 4 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 195512879038464 + 117817261261956 = 13982592^2 + 10854366^2 .

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

It is not an unprimeable number, because it can be changed into a prime (313330140300427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870361500655 + ... + 870361501014.

Almost surely, 2313330140300420 is an apocalyptic number.

313330140300420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313330140300420 is an abundant number, since it is smaller than the sum of its proper divisors (637104618611400).

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

313330140300420 is a wasteful number, since it uses less digits than its factorization.

313330140300420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740723001684 (or 1740723001679 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 313330140300420 its reverse (24003041033313), we get a palindrome (337333181333733).

The spelling of 313330140300420 in words is "three hundred thirteen trillion, three hundred thirty billion, one hundred forty million, three hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1740723001669 3481446003338 5222169005007 6962892006676 8703615008345 10444338010014 15666507015021 17407230016690 20888676020028 26110845025035 31333014030042 34814460033380 52221690050070 62666028060084 78332535075105 104443380100140 156665070150210 313330140300420