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13405424502321 = 323740256530037
BaseRepresentation
bin1100001100010011000110…
…0100001100011000110001
31202110112202002020011112200
43003010301210030120301
53224113302133033241
644302211134413413
72552336626122105
oct303046144143061
952415662204480
1013405424502321
1142a923271aa65
121606089661269
13763184095437
14344b7c7cb905
15183a8c3da4b6
hexc313190c631

13405424502321 has 12 divisors (see below), whose sum is σ = 19886725838772. Its totient is φ = 8695410487776.

The previous prime is 13405424502277. The next prime is 13405424502359. The reversal of 13405424502321 is 12320542450431.

It is a happy number.

13405424502321 is a `hidden beast` number, since 1 + 3 + 40 + 54 + 245 + 0 + 2 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8931729960000 + 4473694542321 = 2988600^2 + 2115111^2 .

It is not a de Polignac number, because 13405424502321 - 215 = 13405424469553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13405424502391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20128264686 + ... + 20128265351.

It is an arithmetic number, because the mean of its divisors is an integer number (1657227153231).

Almost surely, 213405424502321 is an apocalyptic number.

It is an amenable number.

13405424502321 is a deficient number, since it is larger than the sum of its proper divisors (6481301336451).

13405424502321 is a wasteful number, since it uses less digits than its factorization.

13405424502321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40256530080 (or 40256530077 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 13405424502321 its reverse (12320542450431), we get a palindrome (25725966952752).

The spelling of 13405424502321 in words is "thirteen trillion, four hundred five billion, four hundred twenty-four million, five hundred two thousand, three hundred twenty-one".

Divisors: 1 3 9 37 111 333 40256530037 120769590111 362308770333 1489491611369 4468474834107 13405424502321