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13441433414431 = 112768944131189
BaseRepresentation
bin1100001110011001001111…
…0111010010101100011111
31202120222200121100102201011
43003212103313102230133
53230211023423230211
644330524222400051
72555053151615131
oct303462367225437
952528617312634
1013441433414431
114312530821660
121611058a30027
137666a2326919
143467d6cc5051
1518499880c921
hexc3993dd2b1f

13441433414431 has 8 divisors (see below), whose sum is σ = 14663911813200. Its totient is φ = 12219043333440.

The previous prime is 13441433414399. The next prime is 13441433414441.

13441433414431 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13441433414431 - 25 = 13441433414399 is a prime.

It is a super-2 number, since 2×134414334144312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13441433414441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21761016 + ... + 22370173.

It is an arithmetic number, because the mean of its divisors is an integer number (1832988976650).

Almost surely, 213441433414431 is an apocalyptic number.

13441433414431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13441433414431 is a deficient number, since it is larger than the sum of its proper divisors (1222478398769).

13441433414431 is a wasteful number, since it uses less digits than its factorization.

13441433414431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44158889.

The product of its digits is 331776, while the sum is 40.

It can be divided in two parts, 1344143 and 3414431, that added together give a palindrome (4758574).

The spelling of 13441433414431 in words is "thirteen trillion, four hundred forty-one billion, four hundred thirty-three million, four hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 11 27689 304579 44131189 485443079 1221948492221 13441433414431