Search a number
-
+
11141411344030 = 2511295716116647
BaseRepresentation
bin1010001000100000111111…
…0111011000111010011110
31110110002221010001021002201
42202020033313120322132
52430020102301002110
635410143235242114
72226640362603262
oct242101767307236
943402833037081
1011141411344030
11360605627a780
1212bb34414933a
1362a827507056
142a73663ca0a2
15144c31261b3a
hexa220fdd8e9e

11141411344030 has 64 divisors (see below), whose sum is σ = 22671722810880. Its totient is φ = 3904866806400.

The previous prime is 11141411344009. The next prime is 11141411344061. The reversal of 11141411344030 is 3044311414111.

It is a self number, because there is not a number n which added to its sum of digits gives 11141411344030.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236834 + ... + 4879813.

It is an arithmetic number, because the mean of its divisors is an integer number (354245668920).

Almost surely, 211141411344030 is an apocalyptic number.

11141411344030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11141411344030 is an abundant number, since it is smaller than the sum of its proper divisors (11530311466850).

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

11141411344030 is a wasteful number, since it uses less digits than its factorization.

11141411344030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6117265.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 11141411344030 its reverse (3044311414111), we get a palindrome (14185722758141).

The spelling of 11141411344030 in words is "eleven trillion, one hundred forty-one billion, four hundred eleven million, three hundred forty-four thousand, thirty".

Divisors: 1 2 5 10 11 22 29 55 58 110 145 290 319 571 638 1142 1595 2855 3190 5710 6281 12562 16559 31405 33118 62810 82795 165590 182149 364298 910745 1821490 6116647 12233294 30583235 61166470 67283117 134566234 177382763 336415585 354765526 672831170 886913815 1773827630 1951210393 3492605437 3902420786 6985210874 9756051965 17463027185 19512103930 34926054370 38418659807 76837319614 101285557673 192093299035 202571115346 384186598070 506427788365 1012855576730 1114141134403 2228282268806 5570705672015 11141411344030