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13144443334452 = 22324718142920351
BaseRepresentation
bin1011111101000110110111…
…1000000010111100110100
31201112121002212010012000100
42333101231320002330310
53210324304443200302
643542250210314100
72524440362602503
oct277215570027464
951477085105010
1013144443334452
114208588650871
121583593588930
13744691c738a1
143362a180c83a
1517bdb5501d1c
hexbf46de02f34

13144443334452 has 72 divisors (see below), whose sum is σ = 34120649751552. Its totient is φ = 4264565976000.

The previous prime is 13144443334447. The next prime is 13144443334457. The reversal of 13144443334452 is 25443334444131.

13144443334452 is a `hidden beast` number, since 1 + 3 + 144 + 4 + 433 + 34 + 45 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13144443334447) and next prime (13144443334457).

It is a super-2 number, since 2×131444433344522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13144443334398 and 13144443334407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144443334457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21153924 + ... + 21766427.

It is an arithmetic number, because the mean of its divisors is an integer number (473897913216).

Almost surely, 213144443334452 is an apocalyptic number.

13144443334452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13144443334452 is an abundant number, since it is smaller than the sum of its proper divisors (20976206417100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13144443334452 is a wasteful number, since it uses less digits than its factorization.

13144443334452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42920589 (or 42920584 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 45.

Adding to 13144443334452 its reverse (25443334444131), we get a palindrome (38587777778583).

The spelling of 13144443334452 in words is "thirteen trillion, one hundred forty-four billion, four hundred forty-three million, three hundred thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 181 188 282 362 423 543 564 724 846 1086 1629 1692 2172 3258 6516 8507 17014 25521 34028 51042 76563 102084 153126 306252 42920351 85840702 128761053 171681404 257522106 386283159 515044212 772566318 1545132636 2017256497 4034512994 6051769491 7768583531 8069025988 12103538982 15537167062 18155308473 23305750593 24207077964 31074334124 36310616946 46611501186 69917251779 72621233892 93223002372 139834503558 279669007116 365123425957 730246851914 1095370277871 1460493703828 2190740555742 3286110833613 4381481111484 6572221667226 13144443334452