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10041142482 = 23773171149
BaseRepresentation
bin10010101100111111…
…11010110011010010
3221220210011220000000
421112133322303102
5131031013024412
64340212310430
7503554205610
oct112637726322
927823156000
1010041142482
114292a65a68
121b42912416
13c40394037
146b37d26b0
153db7d84dc
hex2567facd2

10041142482 has 256 divisors, whose sum is σ = 27205632000. Its totient is φ = 2718878400.

The previous prime is 10041142427. The next prime is 10041142493. The reversal of 10041142482 is 28424114001.

10041142482 is a `hidden beast` number, since 1 + 0 + 0 + 41 + 142 + 482 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67390144 + ... + 67390292.

It is an arithmetic number, because the mean of its divisors is an integer number (106272000).

Almost surely, 210041142482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041142482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13602816000).

10041142482 is an abundant number, since it is smaller than the sum of its proper divisors (17164489518).

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

10041142482 is an equidigital number, since it uses as much as digits as its factorization.

10041142482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 10041142482 its reverse (28424114001), we get a palindrome (38465256483).

The spelling of 10041142482 in words is "ten billion, forty-one million, one hundred forty-two thousand, four hundred eighty-two".