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14011227456 = 2631914512647
BaseRepresentation
bin11010000110010001…
…00101110101000000
31100011110121002202020
431003020211311000
5212143333234311
610234153121440
71004132316432
oct150310456500
940143532666
1014011227456
115a3aa77626
1228703b9280
131423a40345
1496cb9a652
155700eec06
hex343225d40

14011227456 has 112 divisors (see below), whose sum is σ = 39064143360. Its totient is φ = 4419878400.

The previous prime is 14011227443. The next prime is 14011227487. The reversal of 14011227456 is 65472211041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5291925 + ... + 5294571.

Almost surely, 214011227456 is an apocalyptic number.

14011227456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14011227456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19532071680).

14011227456 is an abundant number, since it is smaller than the sum of its proper divisors (25052915904).

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

14011227456 is a wasteful number, since it uses less digits than its factorization.

14011227456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

Adding to 14011227456 its reverse (65472211041), we get a palindrome (79483438497).

The spelling of 14011227456 in words is "fourteen billion, eleven million, two hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1451 1824 2647 2902 3648 4353 5294 5804 7941 8706 10588 11608 15882 17412 21176 23216 27569 31764 34824 42352 46432 50293 55138 63528 69648 82707 84704 92864 100586 110276 127056 139296 150879 165414 169408 201172 220552 254112 278592 301758 330828 402344 441104 508224 603516 661656 804688 882208 1207032 1323312 1609376 1764416 2414064 2646624 3218752 3840797 4828128 5293248 7681594 9656256 11522391 15363188 23044782 30726376 46089564 61452752 72975143 92179128 122905504 145950286 184358256 218925429 245811008 291900572 368716512 437850858 583801144 737433024 875701716 1167602288 1751403432 2335204576 3502806864 4670409152 7005613728 14011227456