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1040041424 = 2441238669
BaseRepresentation
bin111101111111011…
…100010111010000
32200111000120121202
4331333130113100
54112222311144
6251111410332
734526130512
oct7577342720
92614016552
101040041424
11494092574
122503839a8
13137619836
149c1b1bb2
156149064e
hex3dfdc5d0

1040041424 has 30 divisors (see below), whose sum is σ = 2065480710. Its totient is φ = 507324160.

The previous prime is 1040041421. The next prime is 1040041433. The reversal of 1040041424 is 4241400401.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 137639824 + 902401600 = 11732^2 + 30040^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1040041396 and 1040041405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040041421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7562 + ... + 46230.

It is an arithmetic number, because the mean of its divisors is an integer number (68849357).

Almost surely, 21040041424 is an apocalyptic number.

It is an amenable number.

1040041424 is a deficient number, since it is larger than the sum of its proper divisors (1025439286).

1040041424 is an equidigital number, since it uses as much as digits as its factorization.

1040041424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38759 (or 38712 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1040041424 is about 32249.6732386547. The cubic root of 1040041424 is about 1013.1728552811.

Adding to 1040041424 its reverse (4241400401), we get a palindrome (5281441825).

The spelling of 1040041424 in words is "one billion, forty million, forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 41 82 164 328 656 1681 3362 6724 13448 26896 38669 77338 154676 309352 618704 1585429 3170858 6341716 12683432 25366864 65002589 130005178 260010356 520020712 1040041424