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2418143181444 = 22382923312
BaseRepresentation
bin100011001100000100100…
…100001011101010000100
322120011122120000100000000
4203030010210023222010
5304104324123301234
65050514000321300
7336463561621554
oct43140444135204
98504576010000
102418143181444
1185258a86aa11
1233079b313230
13147050985423
14850784b1164
1542d7c613899
hex2330490ba84

2418143181444 has 243 divisors, whose sum is σ = 6593643408261. Its totient is φ = 775901760480.

The previous prime is 2418143181371. The next prime is 2418143181511. The reversal of 2418143181444 is 4441813418142.

The square root of 2418143181444 is 1555038.

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

2418143181444 is a `hidden beast` number, since 2 + 4 + 18 + 14 + 3 + 181 + 444 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1268015627844 + 1150127553600 = 1126062^2 + 1072440^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a self number, because there is not a number n which added to its sum of digits gives 2418143181444.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7305568359 + ... + 7305568689.

Almost surely, 22418143181444 is an apocalyptic number.

2418143181444 is the 1555038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2418143181444

2418143181444 is an abundant number, since it is smaller than the sum of its proper divisors (4175500226817).

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

2418143181444 is an frugal number, since it uses more digits than its factorization.

2418143181444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 365 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

Adding to 2418143181444 its reverse (4441813418142), we get a palindrome (6859956599586).

The spelling of 2418143181444 in words is "two trillion, four hundred eighteen billion, one hundred forty-three million, one hundred eighty-one thousand, four hundred forty-four".