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13244311344231 = 3211316944819421
BaseRepresentation
bin1100000010111010111001…
…1110010001010001100111
31201220010212211101201201100
43000232232132101101213
53213443322201003411
644100204100331143
72534604244641042
oct300565636212147
951803784351640
1013244311344231
114246976525740
12159aa050a3ab3
13750c1931b9b6
1433b057111c59
1517e7acd68456
hexc0bae791467

13244311344231 has 48 divisors (see below), whose sum is σ = 20883284866080. Its totient is φ = 8021680128000.

The previous prime is 13244311344227. The next prime is 13244311344239.

13244311344231 is a `hidden beast` number, since 1 + 3 + 24 + 431 + 134 + 42 + 31 = 666.

13244311344231 is nontrivially palindromic in base 10.

13244311344231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13244311344231 - 22 = 13244311344227 is a prime.

It is a super-2 number, since 2×132443113442312 (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 (13244311344239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1405823901 + ... + 1405833321.

It is an arithmetic number, because the mean of its divisors is an integer number (435068434710).

Almost surely, 213244311344231 is an apocalyptic number.

13244311344231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13244311344231 is a deficient number, since it is larger than the sum of its proper divisors (7638973521849).

13244311344231 is a wasteful number, since it uses less digits than its factorization.

13244311344231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17088 (or 17085 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 1324431 and 1344231, that added together give a palindrome (2668662).

The spelling of 13244311344231 in words is "thirteen trillion, two hundred forty-four billion, three hundred eleven million, three hundred forty-four thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 99 3169 4481 9421 9507 13443 28263 28521 34859 40329 49291 84789 103631 104577 147873 310893 313731 443619 932679 14200289 29855149 42215501 42600867 89565447 126646503 127802601 156203179 268696341 328406639 379939509 464370511 468609537 985219917 1393111533 1405828611 2955659751 4179334599 133780922669 401342768007 1204028304021 1471590149359 4414770448077 13244311344231