Search a number
-
+
1311420440325 = 352431792271743
BaseRepresentation
bin10011000101010110101…
…111111101111100000101
311122101000010220221011110
4103011112233331330011
5132441242113042300
62442242551155233
7163514135550642
oct23052657757405
94571003827143
101311420440325
11466196717026
121921b4075b19
139688816c038
144768a220dc9
15241a6864550
hex13156bfdf05

1311420440325 has 48 divisors (see below), whose sum is σ = 2231034347520. Its totient is φ = 679341727680.

The previous prime is 1311420440311. The next prime is 1311420440347. The reversal of 1311420440325 is 5230440241131.

It is not a de Polignac number, because 1311420440325 - 212 = 1311420436229 is a prime.

It is a super-2 number, since 2×13114204403252 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311420440292 and 1311420440301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 558597 + ... + 1713146.

It is an arithmetic number, because the mean of its divisors is an integer number (46479882240).

Almost surely, 21311420440325 is an apocalyptic number.

1311420440325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1311420440325 is a deficient number, since it is larger than the sum of its proper divisors (919613907195).

1311420440325 is a wasteful number, since it uses less digits than its factorization.

1311420440325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271978 (or 2271973 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1311420440325 its reverse (5230440241131), we get a palindrome (6541860681456).

The spelling of 1311420440325 in words is "one trillion, three hundred eleven billion, four hundred twenty million, four hundred forty thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 43 75 129 179 215 537 645 895 1075 2685 3225 4475 7697 13425 23091 38485 115455 192425 577275 2271743 6815229 11358715 34076145 56793575 97684949 170380725 293054847 406641997 488424745 1219925991 1465274235 2033209985 2442123725 6099629955 7326371175 10166049925 17485605871 30498149775 52456817613 87428029355 262284088065 437140146775 1311420440325