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14044304331414 = 233785931432373
BaseRepresentation
bin1100110001011111000111…
…0001010101001010010110
31211201121210201100011221000
43030113301301111022112
53320100213402101124
645511510410404130
72646444645064410
oct314276161251226
954647721304830
1014044304331414
11452517972a615
1216a9a69130646
137ab4ab9b1376
14367a6856d9b0
151954d07226c9
hexcc5f1c55296

14044304331414 has 64 divisors (see below), whose sum is σ = 35668572065280. Its totient is φ = 4012602403680.

The previous prime is 14044304331397. The next prime is 14044304331427. The reversal of 14044304331414 is 41413340344041.

14044304331414 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 4 + 304 + 331 + 4 + 14 = 666.

14044304331414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32265732 + ... + 32698104.

It is an arithmetic number, because the mean of its divisors is an integer number (557321438520).

Almost surely, 214044304331414 is an apocalyptic number.

14044304331414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14044304331414 is an abundant number, since it is smaller than the sum of its proper divisors (21624267733866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14044304331414 is a wasteful number, since it uses less digits than its factorization.

14044304331414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518322 (or 518316 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 14044304331414 its reverse (41413340344041), we get a palindrome (55457644675455).

The spelling of 14044304331414 in words is "fourteen trillion, forty-four billion, three hundred four million, three hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 85931 171862 257793 432373 515586 601517 773379 864746 1203034 1297119 1546758 1804551 2320137 2594238 3026611 3609102 3891357 4640274 5413653 6053222 7782714 9079833 10827306 11674071 16240959 18159666 23348142 27239499 32481918 54478998 81718497 163436994 37154244263 74308488526 111462732789 222925465578 260079709841 334388198367 520159419682 668776396734 780239129523 1003164595101 1560478259046 2006329190202 2340717388569 4681434777138 7022152165707 14044304331414