Search a number
-
+
10044434010 = 2351336770177
BaseRepresentation
bin10010101101011000…
…11110011001011010
3221221000101010010110
421112230132121122
5131032333342020
64340411025150
7503624165112
oct112654363132
927830333113
1010044434010
114294903a36
121b43a3b1b6
13c40c772a0
146b400c042
153dbc388e0
hex256b1e65a

10044434010 has 64 divisors (see below), whose sum is σ = 26032108032. Its totient is φ = 2465703936.

The previous prime is 10044433979. The next prime is 10044434021. The reversal of 10044434010 is 1043444001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108042 + ... + 178218.

It is an arithmetic number, because the mean of its divisors is an integer number (406751688).

Almost surely, 210044434010 is an apocalyptic number.

10044434010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10044434010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13016054016).

10044434010 is an abundant number, since it is smaller than the sum of its proper divisors (15987674022).

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

10044434010 is a wasteful number, since it uses less digits than its factorization.

10044434010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70567.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10044434010 its reverse (1043444001), we get a palindrome (11087878011).

Subtracting from 10044434010 its reverse (1043444001), we obtain a palindrome (9000990009).

The spelling of 10044434010 in words is "ten billion, forty-four million, four hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 367 390 734 1101 1835 2202 3670 4771 5505 9542 11010 14313 23855 28626 47710 70177 71565 140354 143130 210531 350885 421062 701770 912301 1052655 1824602 2105310 2736903 4561505 5473806 9123010 13684515 25754959 27369030 51509918 77264877 128774795 154529754 257549590 334814467 386324385 669628934 772648770 1004443401 1674072335 2008886802 3348144670 5022217005 10044434010