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224044401141 = 3411222859341
BaseRepresentation
bin1101000010101000010…
…1100100000111110101
3210102022001001211010000
43100222011210013311
512132320331314031
6250531413021513
722121012662611
oct3205205440765
9712261054100
10224044401141
1187020250700
1237508024899
1318186893382
14abb5598341
155c642d63e6
hex342a1641f5

224044401141 has 30 divisors (see below), whose sum is σ = 367875390806. Its totient is φ = 135784479600.

The previous prime is 224044401109. The next prime is 224044401143. The reversal of 224044401141 is 141104440422.

It is a happy number.

224044401141 is a `hidden beast` number, since 2 + 240 + 4 + 4 + 401 + 14 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 215124354225 + 8920046916 = 463815^2 + 94446^2 .

It is not a de Polignac number, because 224044401141 - 25 = 224044401109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224044401143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11419870 + ... + 11439471.

Almost surely, 2224044401141 is an apocalyptic number.

It is an amenable number.

224044401141 is a deficient number, since it is larger than the sum of its proper divisors (143830989665).

224044401141 is a wasteful number, since it uses less digits than its factorization.

224044401141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22859375 (or 22859355 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 224044401141 its reverse (141104440422), we get a palindrome (365148841563).

The spelling of 224044401141 in words is "two hundred twenty-four billion, forty-four million, four hundred one thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 3267 9801 22859341 68578023 205734069 251452751 617202207 754358253 1851606621 2263074759 2765980261 6789224277 8297940783 20367672831 24893822349 74681467047 224044401141