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14413355331441 = 3113783691410509
BaseRepresentation
bin1101000110111101111011…
…1011001010111101110001
31220000220101111220110022120
43101233132323022331301
53342122022431101231
650353223134224453
73015221244606663
oct321573673127561
956026344813276
1014413355331441
114657740369190
1217494a3655129
13807234465a71
1437b878254533
1519edd0036d96
hexd1bdeecaf71

14413355331441 has 32 divisors (see below), whose sum is σ = 21534086908800. Its totient is φ = 8498254279680.

The previous prime is 14413355331409. The next prime is 14413355331449.

14413355331441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14413355331441 - 25 = 14413355331409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14413355331393 and 14413355331402.

It is not an unprimeable number, because it can be changed into a prime (14413355331449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9513295 + ... + 10923803.

It is an arithmetic number, because the mean of its divisors is an integer number (672940215900).

Almost surely, 214413355331441 is an apocalyptic number.

14413355331441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14413355331441 is a deficient number, since it is larger than the sum of its proper divisors (7120731577359).

14413355331441 is a wasteful number, since it uses less digits than its factorization.

14413355331441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418929.

The product of its digits is 518400, while the sum is 42.

It can be divided in two parts, 1441335 and 5331441, that added together give a palindrome (6772776).

The spelling of 14413355331441 in words is "fourteen trillion, four hundred thirteen billion, three hundred fifty-five million, three hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 11 33 37 111 407 1221 8369 25107 92059 276177 309653 928959 1410509 3406183 4231527 10218549 15515599 46546797 52188833 156566499 574077163 1722231489 11804549821 35413649463 129850048031 389550144093 436768343377 1310305030131 4804451777147 14413355331441