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14201401216 = 27612417547
BaseRepresentation
bin11010011100111100…
…00010111110000000
31100122201102221002211
431032132002332000
5213041024314331
610305105151504
71011631630042
oct151636027600
940581387084
1014201401216
116028358a22
12290402b594
131454266bb2
1498a141a92
15581b678b1
hex34e782f80

14201401216 has 64 divisors (see below), whose sum is σ = 28878798960. Its totient is φ = 6954393600.

The previous prime is 14201401213. The next prime is 14201401237. The reversal of 14201401216 is 61210410241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14201401213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1877955 + ... + 1885501.

Almost surely, 214201401216 is an apocalyptic number.

14201401216 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 14201401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14439399480).

14201401216 is an abundant number, since it is smaller than the sum of its proper divisors (14677397744).

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

14201401216 is an equidigital number, since it uses as much as digits as its factorization.

14201401216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7863 (or 7851 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 14201401216 its reverse (61210410241), we get a palindrome (75411811457).

The spelling of 14201401216 in words is "fourteen billion, two hundred one million, four hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 61 64 122 128 241 244 482 488 964 976 1928 1952 3856 3904 7547 7712 7808 14701 15094 15424 29402 30188 30848 58804 60376 117608 120752 235216 241504 460367 470432 483008 920734 940864 966016 1818827 1841468 1881728 3637654 3682936 7275308 7365872 14550616 14731744 29101232 29463488 58202464 58926976 110948447 116404928 221896894 232809856 443793788 887587576 1775175152 3550350304 7100700608 14201401216