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2024012244141 = 321766889197773
BaseRepresentation
bin11101011101000000100…
…001111110010010101101
321011111022220010020110200
4131131000201332102231
5231130134113303031
64145452434424113
7266141624132526
oct35350041762255
97144286106420
102024012244141
11710419167258
12288325732039
13118b2c259864
146dd6999584d
15379b10db8e6
hex1d74087e4ad

2024012244141 has 24 divisors (see below), whose sum is σ = 3095610069240. Its totient is φ = 1269943059456.

The previous prime is 2024012244131. The next prime is 2024012244179. The reversal of 2024012244141 is 1414422104202.

2024012244141 is a `hidden beast` number, since 2 + 0 + 2 + 401 + 2 + 244 + 14 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 882042167241 + 1141970076900 = 939171^2 + 1068630^2 .

It is not a de Polignac number, because 2024012244141 - 210 = 2024012243117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024012244131) 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, 10135131 + ... + 10332903.

It is an arithmetic number, because the mean of its divisors is an integer number (128983752885).

Almost surely, 22024012244141 is an apocalyptic number.

It is an amenable number.

2024012244141 is a deficient number, since it is larger than the sum of its proper divisors (1071597825099).

2024012244141 is a wasteful number, since it uses less digits than its factorization.

2024012244141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264685 (or 264682 counting only the distinct ones).

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

Adding to 2024012244141 its reverse (1414422104202), we get a palindrome (3438434348343).

The spelling of 2024012244141 in words is "two trillion, twenty-four billion, twelve million, two hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 9 17 51 153 66889 197773 200667 593319 602001 1137113 1779957 3362141 3411339 10086423 10234017 30259269 13228838197 39686514591 119059543773 224890249349 674670748047 2024012244141