Search a number
-
+
4034114324331 = 3713109238956747
BaseRepresentation
bin111010101101000011111…
…100111000011101101011
3112021122202100210221020220
4322231003330320131223
51012043331231334311
612325125130221123
7564312053660460
oct72550374703553
915248670727226
104034114324331
111315949404443
12551a088847a3
1323355269c970
14dd375d7b667
156ee0addd206
hex3ab43f3876b

4034114324331 has 64 divisors (see below), whose sum is σ = 6683734041600. Its totient is φ = 2107442935296.

The previous prime is 4034114324311. The next prime is 4034114324437. The reversal of 4034114324331 is 1334234114304.

It is not a de Polignac number, because 4034114324331 - 26 = 4034114324267 is a prime.

It is a super-2 number, since 2×40341143243312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4034114324292 and 4034114324301.

It is not an unprimeable number, because it can be changed into a prime (4034114324311) 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, 71061100 + ... + 71117846.

It is an arithmetic number, because the mean of its divisors is an integer number (104433344400).

Almost surely, 24034114324331 is an apocalyptic number.

4034114324331 is a deficient number, since it is larger than the sum of its proper divisors (2649619717269).

4034114324331 is a wasteful number, since it uses less digits than its factorization.

4034114324331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59268.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 4034114324331 its reverse (1334234114304), we get a palindrome (5368348438635).

The spelling of 4034114324331 in words is "four trillion, thirty-four billion, one hundred fourteen million, three hundred twenty-four thousand, three hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 109 273 327 763 1417 2289 2389 4251 7167 9919 16723 29757 31057 50169 56747 93171 170241 217399 260401 397229 652197 737711 781203 1191687 1822807 2213133 3385213 5163977 5468421 6185423 10155639 15491931 18556269 23696491 43297961 71089473 80410499 129893883 135568583 241231497 406705749 562873493 948980081 1688620479 1762391579 2846940243 5287174737 12336741053 14776975547 37010223159 44330926641 103438828829 192100682111 310316486487 576302046333 1344704774777 4034114324331