Search a number
-
+
14013780655797 = 32131077011596863
BaseRepresentation
bin1100101111101101011001…
…1010101111111010110101
31211121201000110122210122200
43023323112122233322311
53314100210321441142
645445501510215113
72644314356113446
oct313732632577265
954551013583580
1014013780655797
11451323592931a
1216a3b6a954499
137a8655c94a50
143663b07692cd
151947e5b5564c
hexcbed66afeb5

14013780655797 has 48 divisors (see below), whose sum is σ = 22034347066368. Its totient is φ = 8531075548800.

The previous prime is 14013780655789. The next prime is 14013780655811. The reversal of 14013780655797 is 79755608731041.

14013780655797 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 3 + 78 + 0 + 6 + 557 + 9 + 7 = 666.

It is not a de Polignac number, because 14013780655797 - 23 = 14013780655789 is a prime.

It is a super-3 number, since 3×140137806557973 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013780655297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7977388 + ... + 9574250.

It is an arithmetic number, because the mean of its divisors is an integer number (459048897216).

Almost surely, 214013780655797 is an apocalyptic number.

It is an amenable number.

14013780655797 is a deficient number, since it is larger than the sum of its proper divisors (8020566410571).

14013780655797 is a wasteful number, since it uses less digits than its factorization.

14013780655797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597690 (or 1597687 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 14013780655797 in words is "fourteen trillion, thirteen billion, seven hundred eighty million, six hundred fifty-five thousand, seven hundred ninety-seven".

Divisors: 1 3 9 13 39 107 117 321 701 963 1391 2103 4173 6309 9113 12519 27339 75007 82017 225021 675063 975091 1596863 2925273 4790589 8775819 14371767 20759219 62277657 170864341 186832971 512593023 1119400963 1537779069 2221236433 3358202889 6663709299 10074608667 14552212519 19991127897 43656637557 119775903041 130969912671 359327709123 1077983127369 1557086739533 4671260218599 14013780655797