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24140114104041 = 3213290970926697
BaseRepresentation
bin1010111110100100011101…
…11011010000111011101001
310011110202212001120011122200
411133102032323100323221
511131002423202312131
6123201452035410413
75041031350201125
oct537221673207351
9104422761504580
1024140114104041
117767846097901
12285a623453a09
1310615314b2830
145d656000c585
152bce16aa12e6
hex15f48eed0ee9

24140114104041 has 24 divisors (see below), whose sum is σ = 37564197794760. Its totient is φ = 14850347901696.

The previous prime is 24140114104039. The next prime is 24140114104069. The reversal of 24140114104041 is 14040141104142.

24140114104041 is a `hidden beast` number, since 2 + 4 + 140 + 114 + 1 + 0 + 404 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12000882564441 + 12139231539600 = 3464229^2 + 3484140^2 .

It is not a de Polignac number, because 24140114104041 - 21 = 24140114104039 is a prime.

It is a super-2 number, since 2×241401141040412 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24140114103996 and 24140114104014.

It is not an unprimeable number, because it can be changed into a prime (24140114154041) 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, 35122996 + ... + 35803701.

It is an arithmetic number, because the mean of its divisors is an integer number (1565174908115).

Almost surely, 224140114104041 is an apocalyptic number.

It is an amenable number.

24140114104041 is a deficient number, since it is larger than the sum of its proper divisors (13424083690719).

24140114104041 is a wasteful number, since it uses less digits than its factorization.

24140114104041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70929625 (or 70929622 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 24140114104041 its reverse (14040141104142), we get a palindrome (38180255208183).

The spelling of 24140114104041 in words is "twenty-four trillion, one hundred forty billion, one hundred fourteen million, one hundred four thousand, forty-one".

Divisors: 1 3 9 13 39 117 2909 8727 26181 37817 113451 340353 70926697 212780091 638340273 922047061 2766141183 8298423549 206325761573 618977284719 1856931854157 2682234900449 8046704701347 24140114104041