Search a number
-
+
4021114412331 = 3219131917828119
BaseRepresentation
bin111010100000111101000…
…110001001110100101011
3112020102012101011222111200
4322200331012021310223
51011340220242143311
612315135141055243
7563341651360422
oct72407506116453
915212171158450
104021114412331
11131038828a115
1254b39b0b7523
1323226032c043
14dc8a16362b9
156e8e99a7556
hex3a83d189d2b

4021114412331 has 24 divisors (see below), whose sum is σ = 6118610784000. Its totient is φ = 2537725628592.

The previous prime is 4021114412327. The next prime is 4021114412333. The reversal of 4021114412331 is 1332144111204.

It is a happy number.

4021114412331 is a `hidden beast` number, since 4 + 0 + 211 + 1 + 4 + 412 + 3 + 31 = 666.

4021114412331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4021114412331 - 22 = 4021114412327 is a prime.

It is a super-2 number, since 2×40211144123312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4021114412295 and 4021114412304.

It is not an unprimeable number, because it can be changed into a prime (4021114412333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8688511 + ... + 9139608.

It is an arithmetic number, because the mean of its divisors is an integer number (254942116000).

Almost surely, 24021114412331 is an apocalyptic number.

4021114412331 is a deficient number, since it is larger than the sum of its proper divisors (2097496371669).

4021114412331 is a wasteful number, since it uses less digits than its factorization.

4021114412331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17829463 (or 17829460 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 4021114412331 its reverse (1332144111204), we get a palindrome (5353258523535).

The spelling of 4021114412331 in words is "four trillion, twenty-one billion, one hundred fourteen million, four hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 19 57 171 1319 3957 11871 25061 75183 225549 17828119 53484357 160453071 338734261 1016202783 3048608349 23515288961 70545866883 211637600649 446790490259 1340371470777 4021114412331