Search a number
-
+
313424444121441 = 3953317717345047
BaseRepresentation
bin100011101000011101101000…
…0101001111110000101100001
31112002202002021101221111220120
41013100323100221332011201
5312040121230143341231
63030333111335230453
7123006111622656612
oct10720732051760541
91462662241844816
10313424444121441
1190959618825874
122b19b910218429
13105b6a4ba16943
145757b77227c09
152637d508abd96
hex11d0ed0a7e161

313424444121441 has 16 divisors (see below), whose sum is σ = 418340297130624. Its totient is φ = 208729112918144.

The previous prime is 313424444121353. The next prime is 313424444121443. The reversal of 313424444121441 is 144121444424313.

It is a cyclic number.

It is not a de Polignac number, because 313424444121441 - 230 = 313423370379617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313424444121393 and 313424444121402.

It is not an unprimeable number, because it can be changed into a prime (313424444121443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 908180380 + ... + 908525426.

It is an arithmetic number, because the mean of its divisors is an integer number (26146268570664).

Almost surely, 2313424444121441 is an apocalyptic number.

It is an amenable number.

313424444121441 is a deficient number, since it is larger than the sum of its proper divisors (104915853009183).

313424444121441 is a wasteful number, since it uses less digits than its factorization.

313424444121441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663720.

The product of its digits is 589824, while the sum is 42.

Adding to 313424444121441 its reverse (144121444424313), we get a palindrome (457545888545754).

The spelling of 313424444121441 in words is "three hundred thirteen trillion, four hundred twenty-four billion, four hundred forty-four million, one hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 953 2859 317717 345047 953151 1035141 302784301 328829791 908352903 986489373 109627297699 328881893097 104474814707147 313424444121441