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14444213034141 = 32111926329197747
BaseRepresentation
bin1101001000110000111000…
…1011111101110010011101
31220010212001001010011121100
43102030032023331302131
53343123222014043031
650415325130023313
73020363031010542
oct322141613756235
956125031104540
1014444213034141
114669835774a20
121753475877b39
1380a111435147
1437d164568bc9
151a0ad90d4de6
hexd230e2fdc9d

14444213034141 has 48 divisors (see below), whose sum is σ = 24049601072640. Its totient is φ = 8261794208160.

The previous prime is 14444213034137. The next prime is 14444213034157. The reversal of 14444213034141 is 14143031244441.

14444213034141 is a `hidden beast` number, since 1 + 4 + 4 + 442 + 130 + 3 + 41 + 41 = 666.

It is not a de Polignac number, because 14444213034141 - 22 = 14444213034137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14444213034096 and 14444213034105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14444213034841) 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, 14104171 + ... + 15093576.

It is an arithmetic number, because the mean of its divisors is an integer number (501033355680).

Almost surely, 214444213034141 is an apocalyptic number.

14444213034141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14444213034141 is a deficient number, since it is larger than the sum of its proper divisors (9605388038499).

14444213034141 is a wasteful number, since it uses less digits than its factorization.

14444213034141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29198046 (or 29198043 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 14444213034141 its reverse (14143031244441), we get a palindrome (28587244278582).

The spelling of 14444213034141 in words is "fourteen trillion, four hundred forty-four billion, two hundred thirteen million, thirty-four thousand, one hundred forty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 263 627 789 1881 2367 2893 4997 8679 14991 26037 44973 54967 164901 494703 29197747 87593241 262779723 321175217 554757193 963525651 1664271579 2890576953 4992814737 6102329123 7679007461 18306987369 23037022383 54920962107 69111067149 84469082071 145901141759 253407246213 437703425277 760221738639 1313110275831 1604912559349 4814737678047 14444213034141