Search a number
-
+
3542383222884 = 2232112285172
BaseRepresentation
bin110011100011000110011…
…111100110000001100100
3110112122111202222210101100
4303203012133212001210
5431014300101113014
611311203130200100
7513633362404062
oct63430637460144
913478452883340
103542383222884
111146352a85900
12492654b83030
131c90786c368c
14c364901b032
156222b1be009
hex338c67e6064

3542383222884 has 81 divisors (see below), whose sum is σ = 9842738208121. Its totient is φ = 1073411819040.

The previous prime is 3542383222877. The next prime is 3542383222891. The reversal of 3542383222884 is 4882223832453.

The square root of 3542383222884 is 1882122.

It is a perfect power (a square), and thus also a powerful number.

3542383222884 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 38 + 322 + 288 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3542383222877) and next prime (3542383222891).

It can be written as a sum of positive squares in only one way, i.e., 3080972772900 + 461410449984 = 1755270^2 + 679272^2 .

It is a super-3 number, since 3×35423832228843 (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3542383222884.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 124205794 + ... + 124234310.

Almost surely, 23542383222884 is an apocalyptic number.

3542383222884 is the 1882122-nd square number.

It is an amenable number.

3542383222884 is an abundant number, since it is smaller than the sum of its proper divisors (6300354985237).

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

3542383222884 is an equidigital number, since it uses as much as digits as its factorization.

3542383222884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57066 (or 28533 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 54.

The spelling of 3542383222884 in words is "three trillion, five hundred forty-two billion, three hundred eighty-three million, two hundred twenty-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 28517 57034 85551 114068 171102 256653 313687 342204 513306 627374 941061 1026612 1254748 1882122 2823183 3450557 3764244 5646366 6901114 10351671 11292732 13802228 20703342 31055013 41406684 62110026 124220052 813219289 1626438578 2439657867 3252877156 4879315734 7318973601 8945412179 9758631468 14637947202 17890824358 26836236537 29275894404 35781648716 53672473074 80508709611 98399533969 107344946148 161017419222 196799067938 295198601907 322034838444 393598135876 590397203814 885595805721 1180794407628 1771191611442 3542383222884