Search a number
-
+
14090377309041 = 3111989461547727
BaseRepresentation
bin1100110100001010101111…
…1011110010101101110001
31211220000201121202221120210
43031002223323302231301
53321324043042342131
645545010250254333
72652665453661345
oct315025373625561
954800647687523
1014090377309041
114542771723630
1216b6986a273a9
137b2941ca15c7
14369d99505625
151967ca45a146
hexcd0abef2b71

14090377309041 has 64 divisors (see below), whose sum is σ = 21863549030400. Its totient is φ = 7981901452800.

The previous prime is 14090377309007. The next prime is 14090377309091.

14090377309041 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14090377309041 - 217 = 14090377177969 is a prime.

It is a super-2 number, since 2×140903773090412 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14090377309091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25451320 + ... + 25999046.

It is an arithmetic number, because the mean of its divisors is an integer number (341617953600).

Almost surely, 214090377309041 is an apocalyptic number.

14090377309041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14090377309041 is a deficient number, since it is larger than the sum of its proper divisors (7773171721359).

14090377309041 is a wasteful number, since it uses less digits than its factorization.

14090377309041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548310.

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 14090377309041 in words is "fourteen trillion, ninety billion, three hundred seventy-seven million, three hundred nine thousand, forty-one".

Divisors: 1 3 11 19 33 57 89 209 267 461 627 979 1383 1691 2937 5071 5073 8759 15213 18601 26277 41029 55803 96349 123087 289047 451319 547727 779551 1353957 1643181 2338653 6024997 8575061 10406813 18074991 25725183 31220439 48747703 114474943 146243109 252502147 343424829 536224733 757506441 926206357 1608674199 2777523617 2778619071 4797540793 8332570851 10188269927 14392622379 22472691083 30564809781 52772948723 67418073249 158318846169 247199601913 426981130577 741598805739 1280943391731 4696792436347 14090377309041