Base | Representation |
---|---|
bin | 1000111100101000… |
… | …1110110100101001 |
3 | 20012101110022011222 |
4 | 2033022032310221 |
5 | 14404331332131 |
6 | 1034155231425 |
7 | 113343111311 |
oct | 21712166451 |
9 | 6171408158 |
10 | 2401824041 |
11 | 1022848a51 |
12 | 570448575 |
13 | 2c37a6c76 |
14 | 18adb6441 |
15 | e0cd687b |
hex | 8f28ed29 |
2401824041 has 2 divisors, whose sum is σ = 2401824042. Its totient is φ = 2401824040.
The previous prime is 2401823999. The next prime is 2401824049. The reversal of 2401824041 is 1404281042.
2401824041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 1756867225 + 644956816 = 41915^2 + 25396^2 .
It is a cyclic number.
It is not a de Polignac number, because 2401824041 - 222 = 2397629737 is a prime.
It is a super-3 number, since 3×24018240413 (a number of 29 digits) contains 333 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 2401824041.
It is not a weakly prime, because it can be changed into another prime (2401824049) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200912020 + 1200912021.
It is an arithmetic number, because the mean of its divisors is an integer number (1200912021).
Almost surely, 22401824041 is an apocalyptic number.
It is an amenable number.
2401824041 is a deficient number, since it is larger than the sum of its proper divisors (1).
2401824041 is an equidigital number, since it uses as much as digits as its factorization.
2401824041 is an evil number, because the sum of its binary digits is even.
The product of its (nonzero) digits is 2048, while the sum is 26.
The square root of 2401824041 is about 49008.4078602845. The cubic root of 2401824041 is about 1339.2050012568.
It can be divided in two parts, 240 and 1824041, that added together give a palindrome (1824281).
The spelling of 2401824041 in words is "two billion, four hundred one million, eight hundred twenty-four thousand, forty-one".
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