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10024442442 = 2337261173359
BaseRepresentation
bin10010101011000000…
…01101101001001010
3221212121202102212000
421111200031221022
5131012224124232
64334414331430
7503262232500
oct112540155112
927777672760
1010024442442
114284599a83
121b391b9b76
13c39a97961
146b14c6670
153da0da27c
hex25580da4a

10024442442 has 192 divisors, whose sum is σ = 26564371200. Its totient is φ = 2793087360.

The previous prime is 10024442371. The next prime is 10024442443. The reversal of 10024442442 is 24424442001.

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

It is not an unprimeable number, because it can be changed into a prime (10024442443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27923059 + ... + 27923417.

It is an arithmetic number, because the mean of its divisors is an integer number (138356100).

Almost surely, 210024442442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024442442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13282185600).

10024442442 is an abundant number, since it is smaller than the sum of its proper divisors (16539928758).

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

10024442442 is a wasteful number, since it uses less digits than its factorization.

10024442442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 605 counting only the distinct ones).

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

Adding to 10024442442 its reverse (24424442001), we get a palindrome (34448884443).

It can be divided in two parts, 1002 and 4442442, that added together give a palindrome (4443444).

The spelling of 10024442442 in words is "ten billion, twenty-four million, four hundred forty-two thousand, four hundred forty-two".