Search a number
-
+
10045140434 = 272372770309
BaseRepresentation
bin10010101101011110…
…01010110111010010
3221221001201000011022
421112233022313102
5131033023443214
64340434115442
7503633166500
oct112657126722
927831630138
1010045140434
11429524675a
121b4411bb82
13c411639a4
146b4153670
153dbd27d8e
hex256bcadd2

10045140434 has 24 divisors (see below), whose sum is σ = 18001474380. Its totient is φ = 4188705696.

The previous prime is 10045140433. The next prime is 10045140463. The reversal of 10045140434 is 43404154001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9990602209 + 54538225 = 99953^2 + 7385^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10045140433) 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 11 ways as a sum of consecutive naturals, for example, 1381529 + ... + 1388780.

Almost surely, 210045140434 is an apocalyptic number.

10045140434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10045140434 is a deficient number, since it is larger than the sum of its proper divisors (7956333946).

10045140434 is a wasteful number, since it uses less digits than its factorization.

10045140434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770362 (or 2770355 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 10045140434 its reverse (43404154001), we get a palindrome (53449294435).

The spelling of 10045140434 in words is "ten billion, forty-five million, one hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 7 14 37 49 74 98 259 518 1813 3626 2770309 5540618 19392163 38784326 102501433 135745141 205002866 271490282 717510031 1435020062 5022570217 10045140434