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13411433411431 = 1123508331042819
BaseRepresentation
bin1100001100101001011110…
…1110010111001101100111
31202111010020212001101012221
43003022113232113031213
53224213103423131211
644305043310253211
72552641552034416
oct303122756271547
952433225041187
1013411433411431
114300836586350
121607285ab7207
13763900c60363
1434518c87947d
15183cdebd2c71
hexc3297b97367

13411433411431 has 16 divisors (see below), whose sum is σ = 15267085021440. Its totient is φ = 11661875406720.

The previous prime is 13411433411413. The next prime is 13411433411449.

13411433411431 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (13411433411413) and next prime (13411433411449).

It is not a de Polignac number, because 13411433411431 - 211 = 13411433409383 is a prime.

It is a super-2 number, since 2×134114334114312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13411433411531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12339340 + ... + 13382158.

It is an arithmetic number, because the mean of its divisors is an integer number (954192813840).

Almost surely, 213411433411431 is an apocalyptic number.

13411433411431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13411433411431 is a deficient number, since it is larger than the sum of its proper divisors (1855651610009).

13411433411431 is a wasteful number, since it uses less digits than its factorization.

13411433411431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093686.

The product of its digits is 20736, while the sum is 34.

It can be divided in two parts, 1341143 and 3411431, that added together give a palindrome (4752574).

The spelling of 13411433411431 in words is "thirteen trillion, four hundred eleven billion, four hundred thirty-three million, four hundred eleven thousand, four hundred thirty-one".

Divisors: 1 11 23 253 50833 559163 1042819 1169159 11471009 12860749 23984837 263833207 53009618227 583105800497 1219221219221 13411433411431