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10024444242 = 232739778649
BaseRepresentation
bin10010101011000000…
…01110000101010010
3221212121202112022200
421111200032011102
5131012224203432
64334414344030
7503262240651
oct112540160522
927777675280
1010024444242
1142845a036a
121b391bb016
13c39a98717
146b14c7198
153da0daa7c
hex25580e152

10024444242 has 48 divisors (see below), whose sum is σ = 22244422200. Its totient is φ = 3261689856.

The previous prime is 10024444231. The next prime is 10024444249. The reversal of 10024444242 is 24244442001.

It can be written as a sum of positive squares in 4 ways, for example, as 7598783241 + 2425661001 = 87171^2 + 49251^2 .

It is not an unprimeable number, because it can be changed into a prime (10024444249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88134 + ... + 166782.

Almost surely, 210024444242 is an apocalyptic number.

10024444242 is an abundant number, since it is smaller than the sum of its proper divisors (12219977958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10024444242 is a wasteful number, since it uses less digits than its factorization.

10024444242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78827 (or 78824 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 10024444242 its reverse (24244442001), we get a palindrome (34268886243).

The spelling of 10024444242 in words is "ten billion, twenty-four million, four hundred forty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 73 97 146 194 219 291 438 582 657 873 1314 1746 7081 14162 21243 42486 63729 78649 127458 157298 235947 471894 707841 1415682 5741377 7628953 11482754 15257906 17224131 22886859 34448262 45773718 51672393 68660577 103344786 137321154 556913569 1113827138 1670740707 3341481414 5012222121 10024444242