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14132002304 = 2978347507
BaseRepresentation
bin11010010100101010…
…10011111000000000
31100110212212002200202
431022111103320000
5212420243033204
610254145504332
71010130015620
oct151225237000
940425762622
1014132002304
115aa2168552
1228a49420a8
131442a78b54
14980c38880
1557aa09e1e
hex34a553e00

14132002304 has 80 divisors (see below), whose sum is σ = 32659659648. Its totient is φ = 5983475712.

The previous prime is 14132002289. The next prime is 14132002307. The reversal of 14132002304 is 40320023141.

It is a super-2 number, since 2×141320023042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14132002307) 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, 273719 + ... + 321225.

Almost surely, 214132002304 is an apocalyptic number.

14132002304 is a gapful number since it is divisible by the number (14) 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 14132002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329829824).

14132002304 is an abundant number, since it is smaller than the sum of its proper divisors (18527657344).

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

14132002304 is an frugal number, since it uses more digits than its factorization.

14132002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47615 (or 47599 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14132002304 its reverse (40320023141), we get a palindrome (54452025445).

The spelling of 14132002304 in words is "fourteen billion, one hundred thirty-two million, two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 128 166 224 256 332 448 512 581 664 896 1162 1328 1792 2324 2656 3584 4648 5312 9296 10624 18592 21248 37184 42496 47507 74368 95014 148736 190028 297472 332549 380056 665098 760112 1330196 1520224 2660392 3040448 3943081 5320784 6080896 7886162 10641568 12161792 15772324 21283136 24323584 27601567 31544648 42566272 55203134 63089296 85132544 110406268 126178592 170265088 220812536 252357184 441625072 504714368 883250144 1009428736 1766500288 2018857472 3533000576 7066001152 14132002304