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13423244232431 = 11194159197313457
BaseRepresentation
bin1100001101010101011110…
…1101000100011011101111
31202112020201222012020202202
43003111113231010123233
53224411301010414211
644314315301212115
72553540335253035
oct303252755043357
952466658166682
1013423244232431
114305847475a40
12160962140103b
13764a63b59037
1434598d2d0555
15184281a3553b
hexc3557b446ef

13423244232431 has 64 divisors (see below), whose sum is σ = 16067172441600. Its totient is φ = 11081112883200.

The previous prime is 13423244232401. The next prime is 13423244232491.

13423244232431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13423244232431 - 218 = 13423243970287 is a prime.

It is a super-2 number, since 2×134232442324312 (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 (13423244232401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 997484855 + ... + 997498311.

It is an arithmetic number, because the mean of its divisors is an integer number (251049569400).

Almost surely, 213423244232431 is an apocalyptic number.

13423244232431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13423244232431 is a deficient number, since it is larger than the sum of its proper divisors (2643928209169).

13423244232431 is a wasteful number, since it uses less digits than its factorization.

13423244232431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15560.

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 1342324 and 4232431, that added together give a palindrome (5574755).

The spelling of 13423244232431 in words is "thirteen trillion, four hundred twenty-three billion, two hundred forty-four million, two hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 11 19 41 59 209 451 649 779 1121 1973 2419 8569 12331 13457 21703 26609 37487 45961 80893 116407 148027 255683 412357 505571 551737 793963 889823 1280477 1536967 2211733 2812513 4772687 6069107 8733593 10483003 15085297 16906637 24329063 26550661 32552483 52499557 90681053 115313033 165938267 292057271 358077313 504462559 618497177 997491583 1088577101 1566488999 5549088149 6803468947 11974348111 17231378989 20682964919 29763290981 64226048959 227512614109 327396200791 706486538549 1220294930221 13423244232431