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14201352324 = 22331910963493
BaseRepresentation
bin11010011100111011…
…10111000010000100
31100122201100110001000
431032131313002010
5213041021233244
610305104133300
71011631334355
oct151635670204
940581313030
1014201352324
116028325215
122904007230
13145424a873
1498a12bd2c
15581b58169
hex34e777084

14201352324 has 96 divisors (see below), whose sum is σ = 39112304000. Its totient is φ = 4443424128.

The previous prime is 14201352317. The next prime is 14201352359. The reversal of 14201352324 is 42325310241.

14201352324 is a `hidden beast` number, since 1 + 420 + 1 + 3 + 5 + 232 + 4 = 666.

14201352324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 191922 + ... + 255414.

Almost surely, 214201352324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14201352324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19556152000).

14201352324 is an abundant number, since it is smaller than the sum of its proper divisors (24910951676).

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

14201352324 is a wasteful number, since it uses less digits than its factorization.

14201352324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63634 (or 63626 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14201352324 its reverse (42325310241), we get a palindrome (56526662565).

The spelling of 14201352324 in words is "fourteen billion, two hundred one million, three hundred fifty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 109 114 171 218 228 327 342 436 513 654 684 981 1026 1308 1962 2052 2071 2943 3924 4142 5886 6213 8284 11772 12426 18639 24852 37278 55917 63493 74556 111834 126986 190479 223668 253972 380958 571437 761916 1142874 1206367 1714311 2285748 2412734 3428622 3619101 4825468 6857244 6920737 7238202 10857303 13841474 14476404 20762211 21714606 27682948 32571909 41524422 43429212 62286633 65143818 83048844 124573266 130287636 131494003 186859899 249146532 262988006 373719798 394482009 525976012 747439596 788964018 1183446027 1577928036 2366892054 3550338081 4733784108 7100676162 14201352324