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20410441000 = 235371389739
BaseRepresentation
bin10011000000100011…
…101001110100101000
31221200102211211110021
4103000203221310220
5313300033103000
613213150330224
71321534612615
oct230043516450
957612754407
1020410441000
118724186464
123b574b9974
131c03733731
14db8a0750c
157e6ce311a
hex4c08e9d28

20410441000 has 128 divisors (see below), whose sum is σ = 48623328000. Its totient is φ = 8017632000.

The previous prime is 20410440997. The next prime is 20410441001. The reversal of 20410441000 is 14401402.

It is a super-2 number, since 2×204104410002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20410441001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27618631 + ... + 27619369.

It is an arithmetic number, because the mean of its divisors is an integer number (379869750).

Almost surely, 220410441000 is an apocalyptic number.

20410441000 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 20410441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24311664000).

20410441000 is an abundant number, since it is smaller than the sum of its proper divisors (28212887000).

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

20410441000 is a wasteful number, since it uses less digits than its factorization.

20410441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20410441000 its reverse (14401402), we get a palindrome (20424842402).

The spelling of 20410441000 in words is "twenty billion, four hundred ten million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 389 500 568 710 739 778 1000 1420 1478 1556 1775 1945 2840 2956 3112 3550 3695 3890 5912 7100 7390 7780 8875 9725 14200 14780 15560 17750 18475 19450 27619 29560 35500 36950 38900 48625 52469 55238 71000 73900 77800 92375 97250 104938 110476 138095 147800 184750 194500 209876 220952 262345 276190 287471 369500 389000 419752 524690 552380 574942 690475 739000 1049380 1104760 1149884 1311725 1380950 1437355 2098760 2299768 2623450 2761900 2874710 3452375 5246900 5523800 5749420 6558625 6904750 7186775 10493800 11498840 13117250 13809500 14373550 20410441 26234500 27619000 28747100 35933875 40820882 52469000 57494200 71867750 81641764 102052205 143735500 163283528 204104410 287471000 408208820 510261025 816417640 1020522050 2041044100 2551305125 4082088200 5102610250 10205220500 20410441000