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4440130496 = 26233197303
BaseRepresentation
bin1000010001010011…
…10000001111000000
3102110102212222222122
410020221300033000
533043133133441
62012331223412
7215013325604
oct41051601700
912412788878
104440130496
11197937983a
12a3aba7b68
13559b74069
143019a3504
151aec1434b
hex108a703c0

4440130496 has 56 divisors (see below), whose sum is σ = 9490642944. Its totient is φ = 2055018240.

The previous prime is 4440130459. The next prime is 4440130511. The reversal of 4440130496 is 6940310444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3020 + ... + 94283.

Almost surely, 24440130496 is an apocalyptic number.

4440130496 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745321472).

4440130496 is an abundant number, since it is smaller than the sum of its proper divisors (5050512448).

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

4440130496 is a wasteful number, since it uses less digits than its factorization.

4440130496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97369 (or 97359 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 4440130496 is about 66634.3041983632. The cubic root of 4440130496 is about 1643.6092550948.

The spelling of 4440130496 in words is "four billion, four hundred forty million, one hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 184 248 368 496 713 736 992 1426 1472 1984 2852 5704 11408 22816 45632 97303 194606 389212 778424 1556848 2237969 3016393 3113696 4475938 6032786 6227392 8951876 12065572 17903752 24131144 35807504 48262288 69377039 71615008 96524576 138754078 143230016 193049152 277508156 555016312 1110032624 2220065248 4440130496