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14322122003232 = 2532172925270017
BaseRepresentation
bin1101000001101010000011…
…1111101001001100100000
31212201011220022022011221200
43100122200333221030200
53334123201213100412
650243254135321200
73005511351245241
oct320324077511440
955634808264850
1014322122003232
114621a8354838a
121733881820200
137cb754c804a4
143772a162ccc8
1519c8407899dc
hexd06a0fe9320

14322122003232 has 72 divisors (see below), whose sum is σ = 43124330605356. Its totient is φ = 4493214744576.

The previous prime is 14322122003213. The next prime is 14322122003269. The reversal of 14322122003232 is 23230022122341.

14322122003232 is a `hidden beast` number, since 1 + 4 + 3 + 221 + 2 + 200 + 3 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14265457057296 + 56664945936 = 3776964^2 + 238044^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 14322122003196 and 14322122003205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1462630113 + ... + 1462639904.

Almost surely, 214322122003232 is an apocalyptic number.

14322122003232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14322122003232 is an abundant number, since it is smaller than the sum of its proper divisors (28802208602124).

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

14322122003232 is a wasteful number, since it uses less digits than its factorization.

14322122003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925270050 (or 2925270039 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14322122003232 its reverse (23230022122341), we get a palindrome (37552144125573).

The spelling of 14322122003232 in words is "fourteen trillion, three hundred twenty-two billion, one hundred twenty-two million, three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 2925270017 5850540034 8775810051 11701080068 17551620102 23402160136 26327430153 35103240204 46804320272 49729590289 52654860306 70206480408 93608640544 99459180578 105309720612 140412960816 149188770867 198918361156 210619441224 280825921632 298377541734 397836722312 421238882448 447566312601 596755083468 795673444624 842477764896 895132625202 1193510166936 1591346889248 1790265250404 2387020333872 3580530500808 4774040667744 7161061001616 14322122003232