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44344142100 = 223252257191717
BaseRepresentation
bin101001010011000111…
…011110100100010100
311020110102022211011100
4221103013132210110
51211304100021400
632212120510100
73126613663056
oct512307364424
9136412284140
1044344142100
1117896126325
12871691b330
134249088a4b
1422095058d6
15124808a100
hexa531de914

44344142100 has 108 divisors (see below), whose sum is σ = 139535811324. Its totient is φ = 11779031040.

The previous prime is 44344142083. The next prime is 44344142149. The reversal of 44344142100 is 124144344.

44344142100 is a `hidden beast` number, since 4 + 4 + 3 + 441 + 4 + 210 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 741690756 + 43602451344 = 27234^2 + 208812^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 135442 + ... + 327158.

It is an arithmetic number, because the mean of its divisors is an integer number (1291998253).

Almost surely, 244344142100 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 44344142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69767905662).

44344142100 is an abundant number, since it is smaller than the sum of its proper divisors (95191669224).

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

44344142100 is a wasteful number, since it uses less digits than its factorization.

44344142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191994 (or 191984 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 44344142100 its reverse (124144344), we get a palindrome (44468286444).

The spelling of 44344142100 in words is "forty-four billion, three hundred forty-four million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 257 300 450 514 771 900 1028 1285 1542 2313 2570 3084 3855 4626 5140 6425 7710 9252 11565 12850 15420 19275 23130 25700 38550 46260 57825 77100 115650 191717 231300 383434 575151 766868 958585 1150302 1725453 1917170 2300604 2875755 3450906 3834340 4792925 5751510 6901812 8627265 9585850 11503020 14378775 17254530 19171700 28757550 34509060 43136325 49271269 57515100 86272650 98542538 147813807 172545300 197085076 246356345 295627614 443441421 492712690 591255228 739069035 886882842 985425380 1231781725 1478138070 1773765684 2217207105 2463563450 2956276140 3695345175 4434414210 4927126900 7390690350 8868828420 11086035525 14781380700 22172071050 44344142100