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13411532214441 = 32171094817166949
BaseRepresentation
bin1100001100101001110110…
…0111010001000010101001
31202111010111201222002110200
43003022131213101002221
53224213304221330231
644305101200102413
72552644161613014
oct303123547210251
952433451862420
1013411532214441
11430088732a529
1216072b3004a09
1376391857508a
1434519ba3837b
15183ce86ecbe6
hexc329d9d10a9

13411532214441 has 48 divisors (see below), whose sum is σ = 20704357674000. Its totient is φ = 8336095617024.

The previous prime is 13411532214413. The next prime is 13411532214449. The reversal of 13411532214441 is 14441223511431.

13411532214441 is a `hidden beast` number, since 1 + 3 + 41 + 1 + 532 + 2 + 1 + 44 + 41 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21026450025 + 13390505764416 = 145005^2 + 3659304^2 .

It is not a de Polignac number, because 13411532214441 - 27 = 13411532214313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13411532214396 and 13411532214405.

It is not an unprimeable number, because it can be changed into a prime (13411532214449) 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, 80249635 + ... + 80416583.

It is an arithmetic number, because the mean of its divisors is an integer number (431340784875).

Almost surely, 213411532214441 is an apocalyptic number.

It is an amenable number.

13411532214441 is a deficient number, since it is larger than the sum of its proper divisors (7292825459559).

13411532214441 is a wasteful number, since it uses less digits than its factorization.

13411532214441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171898 (or 171895 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 13411532214441 its reverse (14441223511431), we get a palindrome (27852755725872).

The spelling of 13411532214441 in words is "thirteen trillion, four hundred eleven billion, five hundred thirty-two million, two hundred fourteen thousand, four hundred forty-one".

Divisors: 1 3 9 17 51 109 153 327 981 1853 4817 5559 14451 16677 43353 81889 166949 245667 500847 525053 737001 1502541 1575159 2838133 4725477 8514399 8925901 18197441 25543197 26777703 54592323 80333109 163776969 309356497 804193333 928069491 2412579999 2784208473 7237739997 13671286661 41013859983 87657073297 123041579949 262971219891 788913659673 1490170246049 4470510738147 13411532214441