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2243243440404 = 2232374141076017
BaseRepresentation
bin100000101001001011101…
…110100111100100010100
321221110012111021220202100
4200221023232213210110
5243223130310043104
64434310512042100
7321032443430241
oct40511356474424
97843174256670
102243243440404
1179539949388a
12302909833330
131336c98a40b5
147a805bd45c8
153d542a68139
hex20a4bba7914

2243243440404 has 72 divisors (see below), whose sum is σ = 5965716550248. Its totient is φ = 709793556480.

The previous prime is 2243243440387. The next prime is 2243243440411. The reversal of 2243243440404 is 4040443423422.

2243243440404 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 243 + 4 + 4 + 0 + 404 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 496881190404 + 1746362250000 = 704898^2 + 1321500^2 .

It is a super-2 number, since 2×22432434404042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20483397 + ... + 20592620.

It is an arithmetic number, because the mean of its divisors is an integer number (82857174309).

Almost surely, 22243243440404 is an apocalyptic number.

It is an amenable number.

2243243440404 is an abundant number, since it is smaller than the sum of its proper divisors (3722473109844).

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

2243243440404 is a wasteful number, since it uses less digits than its factorization.

2243243440404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41076105 (or 41076100 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 2243243440404 its reverse (4040443423422), we get a palindrome (6283686863826).

The spelling of 2243243440404 in words is "two trillion, two hundred forty-three billion, two hundred forty-three million, four hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 41 74 82 111 123 148 164 222 246 333 369 444 492 666 738 1332 1476 1517 3034 4551 6068 9102 13653 18204 27306 54612 41076017 82152034 123228051 164304068 246456102 369684153 492912204 739368306 1478736612 1519812629 1684116697 3039625258 3368233394 4559437887 5052350091 6079250516 6736466788 9118875774 10104700182 13678313661 15157050273 18237751548 20209400364 27356627322 30314100546 54713254644 60628201092 62312317789 124624635578 186936953367 249249271156 373873906734 560810860101 747747813468 1121621720202 2243243440404