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221344041441402 = 232113463993227201
BaseRepresentation
bin110010010100111110101100…
…111101101001100001111010
31002000201021122211012001022200
4302110332230331221201322
5213003000044102111102
62102432014320131030
764423402455155655
oct6224765475514172
91060637584161280
10221344041441402
1164588531a6a330
12209a9b5b766a76
139667865ac0939
143c9317465889c
151a8c9ee54151c
hexc94facf6987a

221344041441402 has 48 divisors (see below), whose sum is σ = 523178497670400. Its totient is φ = 67073737536000.

The previous prime is 221344041441377. The next prime is 221344041441403. The reversal of 221344041441402 is 204144140443122.

221344041441402 is a `hidden beast` number, since 2 + 2 + 134 + 4 + 0 + 41 + 441 + 40 + 2 = 666.

It is a super-2 number, since 2×2213440414414022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221344041441403) 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, 66973402 + ... + 70200602.

It is an arithmetic number, because the mean of its divisors is an integer number (10899552034800).

Almost surely, 2221344041441402 is an apocalyptic number.

221344041441402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221344041441402 is an abundant number, since it is smaller than the sum of its proper divisors (301834456228998).

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

221344041441402 is a wasteful number, since it uses less digits than its factorization.

221344041441402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573619 (or 3573616 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 221344041441402 its reverse (204144140443122), we get a palindrome (425488181884524).

The spelling of 221344041441402 in words is "two hundred twenty-one trillion, three hundred forty-four billion, forty-one million, four hundred forty-one thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 346399 692798 1039197 2078394 3117591 3227201 3810389 6235182 6454402 7620778 9681603 11431167 19363206 22862334 29044809 34293501 35499211 58089618 68587002 70998422 106497633 212995266 319492899 638985798 1117899199199 2235798398398 3353697597597 6707395195194 10061092792791 12296891191189 20122185585582 24593782382378 36890673573567 73781347147134 110672020720701 221344041441402