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10024442334 = 233443419047
BaseRepresentation
bin10010101011000000…
…01101100111011110
3221212121202102201000
421111200031213132
5131012224123314
64334414331130
7503262232254
oct112540154736
927777672630
1010024442334
114284599995
121b391b9aa6
13c39a978aa
146b14c65d4
153da0da209
hex25580d9de

10024442334 has 32 divisors (see below), whose sum is σ = 22326877440. Its totient is φ = 3333929976.

The previous prime is 10024442299. The next prime is 10024442347. The reversal of 10024442334 is 43324442001.

It is a happy number.

10024442334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10024442298 and 10024442307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185602 + ... + 233445.

It is an arithmetic number, because the mean of its divisors is an integer number (697714920).

Almost surely, 210024442334 is an apocalyptic number.

10024442334 is an abundant number, since it is smaller than the sum of its proper divisors (12302435106).

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

10024442334 is a wasteful number, since it uses less digits than its factorization.

10024442334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419501 (or 419495 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10024442334 its reverse (43324442001), we get a palindrome (53348884335).

The spelling of 10024442334 in words is "ten billion, twenty-four million, four hundred forty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 443 886 1329 2658 3987 7974 11961 23922 419047 838094 1257141 2514282 3771423 7542846 11314269 22628538 185637821 371275642 556913463 1113826926 1670740389 3341480778 5012221167 10024442334