Search a number
-
+
9840729041 = 1113151455737
BaseRepresentation
bin10010010101000110…
…11001101111010001
3221101211001211102222
421022203121233101
5130123211312131
64304252550425
7465601550063
oct111243315721
927354054388
109840729041
11419a920420
121aa7782415
13c0a9c37c0
14694d43733
153c8deb87b
hex24a8d9bd1

9840729041 has 16 divisors (see below), whose sum is σ = 11637725568. Its totient is φ = 8203248000.

The previous prime is 9840728993. The next prime is 9840729053. The reversal of 9840729041 is 1409270489.

9840729041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 9840729041 - 218 = 9840466897 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9840728983 and 9840729001.

It is not an unprimeable number, because it can be changed into a prime (9840720041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206276 + ... + 249461.

It is an arithmetic number, because the mean of its divisors is an integer number (727357848).

Almost surely, 29840729041 is an apocalyptic number.

It is an amenable number.

9840729041 is a deficient number, since it is larger than the sum of its proper divisors (1796996527).

9840729041 is a wasteful number, since it uses less digits than its factorization.

9840729041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455912.

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 9840729041 is about 99200.4487943477. The cubic root of 9840729041 is about 2142.9354597965.

The spelling of 9840729041 in words is "nine billion, eight hundred forty million, seven hundred twenty-nine thousand, forty-one".

Divisors: 1 11 13 143 151 1661 1963 21593 455737 5013107 5924581 65170391 68816287 756979157 894611731 9840729041