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14233122144 = 253316473521
BaseRepresentation
bin11010100000101110…
…00011010101100000
31100201221010112001000
431100113003111200
5213122134402034
610312201112000
71012465353633
oct152027032540
940657115030
1014233122144
11604425436a
122912788600
13145a9c2287
1499043bc1a
15584831599
hex3505c3560

14233122144 has 48 divisors (see below), whose sum is σ = 41513275440. Its totient is φ = 4744373760.

The previous prime is 14233122119. The next prime is 14233122157. The reversal of 14233122144 is 44122133241.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8235897 + ... + 8237624.

It is an arithmetic number, because the mean of its divisors is an integer number (864859905).

Almost surely, 214233122144 is an apocalyptic number.

It is an amenable number.

14233122144 is an abundant number, since it is smaller than the sum of its proper divisors (27280153296).

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

14233122144 is a wasteful number, since it uses less digits than its factorization.

14233122144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16473540 (or 16473526 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 14233122144 its reverse (44122133241), we get a palindrome (58355255385).

The spelling of 14233122144 in words is "fourteen billion, two hundred thirty-three million, one hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 16473521 32947042 49420563 65894084 98841126 131788168 148261689 197682252 263576336 296523378 395364504 444785067 527152672 593046756 790729008 889570134 1186093512 1581458016 1779140268 2372187024 3558280536 4744374048 7116561072 14233122144