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4004114039999 = 295910512226659
BaseRepresentation
bin111010010001000111110…
…010111000010010111111
3112011210022120222120211222
4322101013302320102333
51011100411143234444
612303244204103555
7562200451525613
oct72210762702277
915153276876758
104004114039999
111304153a96827
12548035834bbb
13230781238328
14dbb2b89b343
156e252259eee
hex3a447cb84bf

4004114039999 has 16 divisors (see below), whose sum is σ = 4216403376000. Its totient is φ = 3796897221600.

The previous prime is 4004114039969. The next prime is 4004114040013. The reversal of 4004114039999 is 9999304114004.

It is a happy number.

It is not a de Polignac number, because 4004114039999 - 216 = 4004113974463 is a prime.

It is a super-2 number, since 2×40041140399992 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4004114039999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004114039969) 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 15 ways as a sum of consecutive naturals, for example, 684932 + ... + 2911590.

It is an arithmetic number, because the mean of its divisors is an integer number (263525211000).

Almost surely, 24004114039999 is an apocalyptic number.

4004114039999 is a deficient number, since it is larger than the sum of its proper divisors (212289336001).

4004114039999 is a wasteful number, since it uses less digits than its factorization.

4004114039999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227798.

The product of its (nonzero) digits is 1259712, while the sum is 53.

The spelling of 4004114039999 in words is "four trillion, four billion, one hundred fourteen million, thirty-nine thousand, nine hundred ninety-nine".

Divisors: 1 29 59 1051 1711 30479 62009 1798261 2226659 64573111 131372881 2340218609 3809813549 67866339661 138072897931 4004114039999