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10042311460 = 225622180713
BaseRepresentation
bin10010101101001000…
…11000001100100100
3221220212101021112111
421112210120030210
5131031312431320
64340253330404
7503600144656
oct112644301444
927825337474
1010042311460
114293694265
121b43196a04
13c406b313c
146b3a186d6
153db969a5a
hex256918324

10042311460 has 24 divisors (see below), whose sum is σ = 21092505336. Its totient is φ = 4016229120.

The previous prime is 10042311437. The next prime is 10042311463. The reversal of 10042311460 is 6411324001.

It can be written as a sum of positive squares in 4 ways, for example, as 891858496 + 9150452964 = 29864^2 + 95658^2 .

It is not an unprimeable number, because it can be changed into a prime (10042311463) 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 7 ways as a sum of consecutive naturals, for example, 84064 + ... + 164776.

It is an arithmetic number, because the mean of its divisors is an integer number (878854389).

Almost surely, 210042311460 is an apocalyptic number.

10042311460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042311460 is an abundant number, since it is smaller than the sum of its proper divisors (11050193876).

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

10042311460 is a wasteful number, since it uses less digits than its factorization.

10042311460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86943 (or 86941 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10042311460 its reverse (6411324001), we get a palindrome (16453635461).

The spelling of 10042311460 in words is "ten billion, forty-two million, three hundred eleven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 6221 12442 24884 31105 62210 80713 124420 161426 322852 403565 807130 1614260 502115573 1004231146 2008462292 2510577865 5021155730 10042311460