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20441003000 = 2353118092297
BaseRepresentation
bin10011000010011000…
…001111001111111000
31221202120100112122012
4103002120033033320
5313330344044000
613220201345052
71322355441635
oct230230171770
957676315565
1020441003000
11873a460110
123b65798188
131c09b74462
14dbcac118c
157e982d735
hex4c260f3f8

20441003000 has 128 divisors (see below), whose sum is σ = 52267550400. Its totient is φ = 7420672000.

The previous prime is 20441002973. The next prime is 20441003029. The reversal of 20441003000 is 30014402.

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 31 ways as a sum of consecutive naturals, for example, 8897852 + ... + 8900148.

Almost surely, 220441003000 is an apocalyptic number.

20441003000 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 20441003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26133775200).

20441003000 is an abundant number, since it is smaller than the sum of its proper divisors (31826547400).

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

20441003000 is a wasteful number, since it uses less digits than its factorization.

20441003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20441003000 its reverse (30014402), we get a palindrome (20471017402).

The spelling of 20441003000 in words is "twenty billion, four hundred forty-one million, three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 809 1000 1100 1375 1618 2200 2297 2750 3236 4045 4594 5500 6472 8090 8899 9188 11000 11485 16180 17798 18376 20225 22970 25267 32360 35596 40450 44495 45940 50534 57425 71192 80900 88990 91880 101068 101125 114850 126335 161800 177980 202136 202250 222475 229700 252670 287125 355960 404500 444950 459400 505340 574250 631675 809000 889900 1010680 1112375 1148500 1263350 1779800 1858273 2224750 2297000 2526700 3158375 3716546 4449500 5053400 6316750 7433092 8899000 9291365 12633500 14866184 18582730 20441003 25267000 37165460 40882006 46456825 74330920 81764012 92913650 102205015 163528024 185827300 204410030 232284125 371654600 408820060 464568250 511025075 817640120 929136500 1022050150 1858273000 2044100300 2555125375 4088200600 5110250750 10220501500 20441003000