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13441335340325 = 5217411637471217
BaseRepresentation
bin1100001110011000111000…
…0001001010110100100101
31202120222102202210202022212
43003212032001022310211
53230210323321342300
644330510400333205
72555050551163604
oct303461601126445
952528382722285
1013441335340325
114312490426082
121611030014205
13766687c088c9
143467c7c75a3b
1518498edd8935
hexc398e04ad25

13441335340325 has 48 divisors (see below), whose sum is σ = 18089195748624. Its totient is φ = 9867640012800.

The previous prime is 13441335340283. The next prime is 13441335340339. The reversal of 13441335340325 is 52304353314431.

It can be written as a sum of positive squares in 24 ways, for example, as 13441213083076 + 122257249 = 3666226^2 + 11057^2 .

It is not a de Polignac number, because 13441335340325 - 228 = 13441066904869 is a prime.

It is a super-2 number, since 2×134413353403252 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28289117 + ... + 28760333.

It is an arithmetic number, because the mean of its divisors is an integer number (376858244763).

Almost surely, 213441335340325 is an apocalyptic number.

It is an amenable number.

13441335340325 is a deficient number, since it is larger than the sum of its proper divisors (4647860408299).

13441335340325 is a wasteful number, since it uses less digits than its factorization.

13441335340325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472922 (or 472917 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 41.

Adding to 13441335340325 its reverse (52304353314431), we get a palindrome (65745688654756).

The spelling of 13441335340325 in words is "thirteen trillion, four hundred forty-one billion, three hundred thirty-five million, three hundred forty thousand, three hundred twenty-five".

Divisors: 1 5 17 25 41 85 205 425 697 1025 1637 3485 8185 17425 27829 40925 67117 139145 335585 471217 695725 1140989 1677925 2356085 5704945 8010689 11780425 19319897 28524725 40053445 96599485 200267225 328438249 482997425 771382229 1642191245 3856911145 8210956225 13113497893 19284555725 31626671389 65567489465 158133356945 327837447325 537653413613 790666784725 2688267068065 13441335340325