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14382608738481 = 32709217832
BaseRepresentation
bin1101000101001011011001…
…0010001110100010110001
31212220222000201202200221100
43101102312102032202301
53341121040314112411
650331140152115013
73013052311102164
oct321226622164261
955828021680840
1014382608738481
1146456a2751885
121743542695a69
138043744c9ba9
1437a19c9c3adb
1519e1d0ad5456
hexd14b648e8b1

14382608738481 has 27 divisors (see below), whose sum is σ = 20815896924459. Its totient is φ = 9569511884592.

The previous prime is 14382608738411. The next prime is 14382608738483. The reversal of 14382608738481 is 18483780628341.

It is a happy number.

The square root of 14382608738481 is 3792441.

It is a perfect power (a square), and thus also a powerful number.

14382608738481 is a `hidden beast` number, since 1 + 4 + 3 + 82 + 6 + 0 + 8 + 73 + 8 + 481 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1919308222881 + 12463300515600 = 1385391^2 + 3530340^2 .

It is not a de Polignac number, because 14382608738481 - 225 = 14382575184049 is a prime.

It is a super-2 number, since 2×143826087384812 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14382608738483) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8066521116 + ... + 8066522898.

Almost surely, 214382608738481 is an apocalyptic number.

14382608738481 is the 3792441-st square number.

14382608738481 is the 1896221-st centered octagonal number.

It is an amenable number.

14382608738481 is a deficient number, since it is larger than the sum of its proper divisors (6433288185978).

14382608738481 is an frugal number, since it uses more digits than its factorization.

14382608738481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 14382608738481 in words is "fourteen trillion, three hundred eighty-two billion, six hundred eight million, seven hundred thirty-eight thousand, four hundred eighty-one".

Divisors: 1 3 9 709 1783 2127 5349 6381 16047 502681 1264147 1508043 3179089 3792441 4524129 9537267 11377323 28611801 896280223 2253974101 2688840669 6761922303 8066522007 20285766909 1598067637609 4794202912827 14382608738481