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14344022044341 = 32111014992874841
BaseRepresentation
bin1101000010111011101001…
…0101101010111010110101
31212210021102120002112121100
43100232322111222322311
53340003024120404331
650301315221240313
73010215144442503
oct320567225527265
955707376075540
1014344022044341
1146302a1550410
121737b73b63099
138008351a45b2
1437837bdcd673
1519d1c3220ae6
hexd0bba56aeb5

14344022044341 has 48 divisors (see below), whose sum is σ = 22872242952000. Its totient is φ = 8590021920000.

The previous prime is 14344022044307. The next prime is 14344022044361.

14344022044341 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 402 + 204 + 4 + 3 + 41 = 666.

14344022044341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14344022044341 - 215 = 14344022011573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14344022044296 and 14344022044305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14344022044361) 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, 3552081 + ... + 6426921.

It is an arithmetic number, because the mean of its divisors is an integer number (476505061500).

Almost surely, 214344022044341 is an apocalyptic number.

14344022044341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14344022044341 is a deficient number, since it is larger than the sum of its proper divisors (8528220907659).

14344022044341 is a wasteful number, since it uses less digits than its factorization.

14344022044341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875458 (or 2875455 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 1434402 and 2044341, that added together give a palindrome (3478743).

The spelling of 14344022044341 in words is "fourteen trillion, three hundred forty-four billion, twenty-two million, forty-four thousand, three hundred forty-one".

Divisors: 1 3 9 11 33 99 101 303 499 909 1111 1497 3333 4491 5489 9999 16467 49401 50399 151197 453591 554389 1663167 2874841 4989501 8624523 25873569 31623251 94869753 284609259 290358941 871076823 1434545659 2613230469 3193948351 4303636977 9581845053 12910910931 15780002249 28745535159 47340006747 142020020241 144889111559 434667334677 1304002004031 1593780227149 4781340681447 14344022044341