Search a number
-
+
4114024010404 = 2271123619520471
BaseRepresentation
bin111011110111011110111…
…100001001001010100100
3112120022000101222120211121
4323313132330021022210
51014401010121313104
612425542340143324
7603141231051250
oct73673674111244
915508011876747
104114024010404
111346825335310
125653aa397b44
1323ac48ba2989
14103196b27260
15720364bc254
hex3bddef092a4

4114024010404 has 96 divisors (see below), whose sum is σ = 9519862689792. Its totient is φ = 1508042448000.

The previous prime is 4114024010309. The next prime is 4114024010407. The reversal of 4114024010404 is 4040104204114.

It is a super-2 number, since 2×41140240104042 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4114024010407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4328112 + ... + 5192359.

It is an arithmetic number, because the mean of its divisors is an integer number (99165236352).

Almost surely, 24114024010404 is an apocalyptic number.

4114024010404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4114024010404 is an abundant number, since it is smaller than the sum of its proper divisors (5405838679388).

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

4114024010404 is a wasteful number, since it uses less digits than its factorization.

4114024010404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9520577 (or 9520575 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 4114024010404 its reverse (4040104204114), we get a palindrome (8154128214518).

The spelling of 4114024010404 in words is "four trillion, one hundred fourteen billion, twenty-four million, ten thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 61 77 92 122 154 161 244 253 308 322 427 506 644 671 854 1012 1342 1403 1708 1771 2684 2806 3542 4697 5612 7084 9394 9821 15433 18788 19642 30866 39284 61732 108031 216062 432124 9520471 19040942 38081884 66643297 104725181 133286594 209450362 218970833 266573188 418900724 437941666 580748731 733076267 875883332 1161497462 1466152534 1532795831 2322994924 2408679163 2932305068 3065591662 4065241117 4817358326 6131183324 6388236041 8130482234 9634716652 12776472082 13357220813 16260964468 16860754141 25552944164 26714441626 33721508282 44717652287 53428883252 67443016564 89435304574 93500545691 146929428943 178870609148 187001091382 293858857886 374002182764 587717715772 1028506002601 2057012005202 4114024010404