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14044413412305 = 3451072811153343
BaseRepresentation
bin1100110001011111100001…
…0001011100001111010001
31211201122002022121001210000
43030113320101130033101
53320100424313143210
645511525304400213
72646450441210453
oct314277021341721
954648068531700
1014044413412305
114525225263711
1216a9a99776069
137ab4c8484283
14367a78c462d3
151954da0bcac0
hexcc5f845c3d1

14044413412305 has 80 divisors (see below), whose sum is σ = 25501653771264. Its totient is φ = 7393937160960.

The previous prime is 14044413412297. The next prime is 14044413412333. The reversal of 14044413412305 is 50321431444041.

It is a happy number.

14044413412305 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 4 + 4 + 1 + 341 + 2 + 305 = 666.

14044413412305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14044413412305 - 23 = 14044413412297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14044413412305.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11600464 + ... + 12753806.

Almost surely, 214044413412305 is an apocalyptic number.

14044413412305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14044413412305 is a deficient number, since it is larger than the sum of its proper divisors (11457240358959).

14044413412305 is a wasteful number, since it uses less digits than its factorization.

14044413412305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153748 (or 1153739 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 14044413412305 its reverse (50321431444041), we get a palindrome (64365844856346).

The spelling of 14044413412305 in words is "fourteen trillion, forty-four billion, four hundred thirteen million, four hundred twelve thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 81 107 135 281 321 405 535 843 963 1405 1605 2529 2889 4215 4815 7587 8667 12645 14445 22761 30067 37935 43335 90201 113805 150335 270603 451005 811809 1153343 1353015 2435427 3460029 4059045 5766715 10380087 12177135 17300145 31140261 51900435 93420783 123407701 155701305 324089383 370223103 467103915 617038505 972268149 1110669309 1620446915 1851115515 2916804447 3332007927 4861340745 5553346545 8750413341 9996023781 14584022235 16660039635 26251240023 34677563981 43752066705 49980118905 104032691943 131256200115 173387819905 312098075829 520163459715 936294227487 1560490379145 2808882682461 4681471137435 14044413412305