Search a number
-
+
312141404404420 = 22516979196859293
BaseRepresentation
bin100011011111001000001010…
…1100001110111101011000100
31111221012102112011100201002021
41012332100111201313223010
5311403111044011420140
63023511440453252524
7122514320662220323
oct10676202541675304
91457172464321067
10312141404404420
1190504476305278
122b013118934144
1310522a67617b06
145711a203800ba
1526147aa915b4a
hex11be415877ac4

312141404404420 has 24 divisors (see below), whose sum is σ = 655883217410904. Its totient is φ = 124782986873856.

The previous prime is 312141404404397. The next prime is 312141404404457. The reversal of 312141404404420 is 24404404141213.

It can be written as a sum of positive squares in 4 ways, for example, as 46335140088064 + 265806264316356 = 6806992^2 + 16303566^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4598395707 + ... + 4598463586.

It is an arithmetic number, because the mean of its divisors is an integer number (27328467392121).

Almost surely, 2312141404404420 is an apocalyptic number.

It is an amenable number.

312141404404420 is an abundant number, since it is smaller than the sum of its proper divisors (343741813006484).

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

312141404404420 is a wasteful number, since it uses less digits than its factorization.

312141404404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9196860999 (or 9196860997 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 312141404404420 its reverse (24404404141213), we get a palindrome (336545808545633).

The spelling of 312141404404420 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred four million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1697 3394 6788 8485 16970 33940 9196859293 18393718586 36787437172 45984296465 91968592930 183937185860 15607070220221 31214140440442 62428280880884 78035351101105 156070702202210 312141404404420