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244124330440 = 23529243786357
BaseRepresentation
bin1110001101011011110…
…0011010100111001000
3212100010102222220202011
43203112330122213020
512444431312033230
6304052115345304
723431425366544
oct3432674324710
9770112886664
10244124330440
11945949027a1
123b3908b2234
131a0369a5143
14bb5c328a24
15653c08ee2a
hex38d6f1a9c8

244124330440 has 64 divisors (see below), whose sum is σ = 568460170800. Its totient is φ = 94242720768.

The previous prime is 244124330399. The next prime is 244124330447. The reversal of 244124330440 is 44033421442.

It can be written as a sum of positive squares in 8 ways, for example, as 192547195204 + 51577135236 = 438802^2 + 227106^2 .

It is not an unprimeable number, because it can be changed into a prime (244124330447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2783742 + ... + 2870098.

Almost surely, 2244124330440 is an apocalyptic number.

244124330440 is a gapful number since it is divisible by the number (20) 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 244124330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284230085400).

244124330440 is an abundant number, since it is smaller than the sum of its proper divisors (324335840360).

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

244124330440 is a wasteful number, since it uses less digits than its factorization.

244124330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88834 (or 88830 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 244124330440 its reverse (44033421442), we get a palindrome (288157751882).

It can be divided in two parts, 244124 and 330440, that added together give a square (574564 = 7582).

The spelling of 244124330440 in words is "two hundred forty-four billion, one hundred twenty-four million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2437 4874 9748 12185 19496 24370 48740 70673 86357 97480 141346 172714 282692 345428 353365 431785 565384 690856 706730 863570 1413460 1727140 2504353 2826920 3454280 5008706 10017412 12521765 20034824 25043530 50087060 100174120 210452009 420904018 841808036 1052260045 1683616072 2104520090 4209040180 6103108261 8418080360 12206216522 24412433044 30515541305 48824866088 61031082610 122062165220 244124330440