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4434131140 = 225417876871
BaseRepresentation
bin1000010000100101…
…10111100011000100
3102110000121012102021
410020102313203010
533040114144030
62011554452524
7214611331015
oct41022674304
912400535367
104434131140
111975a5139a
12a38b94144
1355885344a
14300c8100c
151ae42b97a
hex1084b78c4

4434131140 has 48 divisors (see below), whose sum is σ = 9552299904. Its totient is φ = 1727942400.

The previous prime is 4434131077. The next prime is 4434131167. The reversal of 4434131140 is 411314344.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 641905 + ... + 648775.

It is an arithmetic number, because the mean of its divisors is an integer number (199006248).

Almost surely, 24434131140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776149952).

4434131140 is an abundant number, since it is smaller than the sum of its proper divisors (5118168764).

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

4434131140 is a wasteful number, since it uses less digits than its factorization.

4434131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7708 (or 7706 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 4434131140 is about 66589.2719587773. The cubic root of 4434131140 is about 1642.8686581315.

Adding to 4434131140 its reverse (411314344), we get a palindrome (4845445484).

The spelling of 4434131140 in words is "four billion, four hundred thirty-four million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 787 820 1574 3148 3935 6871 7870 13742 15740 27484 32267 34355 64534 68710 129068 137420 161335 281711 322670 563422 645340 1126844 1408555 2817110 5407477 5634220 10814954 21629908 27037385 54074770 108149540 221706557 443413114 886826228 1108532785 2217065570 4434131140