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10024413441 = 372937444877
BaseRepresentation
bin10010101011000000…
…00110100100000001
3221212121200222001220
421111200012210001
5131012222212231
64334413545253
7503262052110
oct112540064401
927777628056
1010024413441
11428457a209
121b391a5229
13c39a876b3
146b14b9c77
153da0d1896
hex255806901

10024413441 has 32 divisors (see below), whose sum is σ = 16229149440. Its totient is φ = 5381220096.

The previous prime is 10024413439. The next prime is 10024413479. The reversal of 10024413441 is 14431442001.

It is not a de Polignac number, because 10024413441 - 21 = 10024413439 is a prime.

It is a super-2 number, since 2×100244134412 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10024413041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199906 + ... + 244971.

It is an arithmetic number, because the mean of its divisors is an integer number (507160920).

Almost surely, 210024413441 is an apocalyptic number.

It is an amenable number.

10024413441 is a deficient number, since it is larger than the sum of its proper divisors (6204735999).

10024413441 is a wasteful number, since it uses less digits than its factorization.

10024413441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444953.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10024413441 its reverse (14431442001), we get a palindrome (24455855442).

The spelling of 10024413441 in words is "ten billion, twenty-four million, four hundred thirteen thousand, four hundred forty-one".

Divisors: 1 3 7 21 29 37 87 111 203 259 609 777 1073 3219 7511 22533 444877 1334631 3114139 9342417 12901433 16460449 38704299 49381347 90310031 115223143 270930093 345669429 477353021 1432059063 3341471147 10024413441