Search a number
-
+
4014040241211 = 3711213831464049
BaseRepresentation
bin111010011010010111011…
…100010101010000111011
3112012201221100212212001220
4322122113130111100323
51011231223300204321
612312005153043123
7563001442043010
oct72322734252073
915181840785056
104014040241211
111308388085700
12549b45b564a3
132316a3856b80
14dc3cdccd707
156e6338db9c6
hex3a69771543b

4014040241211 has 96 divisors (see below), whose sum is σ = 7327652236800. Its totient is φ = 1901622666240.

The previous prime is 4014040241177. The next prime is 4014040241221. The reversal of 4014040241211 is 1121420404104.

It is not a de Polignac number, because 4014040241211 - 29 = 4014040240699 is a prime.

It is a super-2 number, since 2×40140402412112 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4014040241221) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2009715 + ... + 3473763.

It is an arithmetic number, because the mean of its divisors is an integer number (76329710800).

Almost surely, 24014040241211 is an apocalyptic number.

4014040241211 is a deficient number, since it is larger than the sum of its proper divisors (3313611995589).

4014040241211 is a wasteful number, since it uses less digits than its factorization.

4014040241211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464177 (or 1464166 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 4014040241211 its reverse (1121420404104), we get a palindrome (5135460645315).

The spelling of 4014040241211 in words is "four trillion, fourteen billion, forty million, two hundred forty-one thousand, two hundred eleven".

Divisors: 1 3 7 11 13 21 33 39 77 83 91 121 143 231 249 273 363 429 581 847 913 1001 1079 1573 1743 2541 2739 3003 3237 4719 6391 7553 10043 11011 11869 19173 22659 30129 33033 35607 70301 83083 130559 210903 249249 391677 913913 1464049 2741739 4392147 10248343 16104539 19032637 30745029 48313617 57097911 112731773 121516067 133228459 177149929 209359007 338195319 364548201 399685377 531449787 628077021 850612469 1240049503 1336676737 1465513049 1579708871 2302949077 2551837407 3720148509 4010030211 4396539147 4739126613 6908847231 9356737159 11057962097 14703444107 16120643539 17376797581 28070211477 33173886291 44110332321 48361930617 52130392743 102924108749 121637583067 191144773391 308772326247 364912749201 573434320173 1338013413737 4014040241211