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14474431104 = 27375384833
BaseRepresentation
bin11010111101011111…
…00100101010000000
31101100202012021200220
431132233210222000
5214120423243404
610352141143040
71021455430410
oct153657445200
941322167626
1014474431104
116158491361
12297b55aa80
1314989b0b43
149b44d4640
1559aaea4d9
hex35ebe4a80

14474431104 has 64 divisors (see below), whose sum is σ = 43940245440. Its totient is φ = 4135550976.

The previous prime is 14474431087. The next prime is 14474431109. The reversal of 14474431104 is 40113447441.

14474431104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (14474431109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2689729 + ... + 2695104.

It is an arithmetic number, because the mean of its divisors is an integer number (686566335).

Almost surely, 214474431104 is an apocalyptic number.

14474431104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14474431104 is an abundant number, since it is smaller than the sum of its proper divisors (29465814336).

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

14474431104 is an equidigital number, since it uses as much as digits as its factorization.

14474431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384857 (or 5384845 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

Adding to 14474431104 its reverse (40113447441), we get a palindrome (54587878545).

The spelling of 14474431104 in words is "fourteen billion, four hundred seventy-four million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 5384833 10769666 16154499 21539332 32308998 37693831 43078664 64617996 75387662 86157328 113081493 129235992 150775324 172314656 226162986 258471984 301550648 344629312 452325972 516943968 603101296 689258624 904651944 1033887936 1206202592 1809303888 2067775872 2412405184 3618607776 4824810368 7237215552 14474431104