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44041005000 = 233254978689
BaseRepresentation
bin101001000001000011…
…000110011111001000
311012200021220212020100
4221001003012133020
51210143444130000
632122051325400
73116243236326
oct510103063710
9135607825210
1044041005000
111774aaa99a3
1286512b0860
1341cb330095
1421bb156d16
15122b65ba00
hexa410c67c8

44041005000 has 120 divisors (see below), whose sum is σ = 149049593550. Its totient is φ = 11744256000.

The previous prime is 44041004999. The next prime is 44041005007. The reversal of 44041005000 is 50014044.

It can be written as a sum of positive squares in 5 ways, for example, as 6948556164 + 37092448836 = 83358^2 + 192594^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×440410050002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (44041005007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 444345 + ... + 534344.

Almost surely, 244041005000 is an apocalyptic number.

44041005000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44041005000 is an abundant number, since it is smaller than the sum of its proper divisors (105008588550).

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

44041005000 is a wasteful number, since it uses less digits than its factorization.

44041005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978721 (or 978699 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 44041005000 its reverse (50014044), we get a palindrome (44091019044).

The spelling of 44041005000 in words is "forty-four billion, forty-one million, five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 5000 5625 7500 9000 11250 15000 22500 45000 978689 1957378 2936067 3914756 4893445 5872134 7829512 8808201 9786890 11744268 14680335 17616402 19573780 23488536 24467225 29360670 35232804 39147560 44041005 48934450 58721340 70465608 73401675 88082010 97868900 117442680 122336125 146803350 176164020 195737800 220205025 244672250 293606700 352328040 367008375 440410050 489344500 587213400 611680625 734016750 880820100 978689000 1101025125 1223361250 1468033500 1761640200 1835041875 2202050250 2446722500 2936067000 3670083750 4404100500 4893445000 5505125625 7340167500 8808201000 11010251250 14680335000 22020502500 44041005000