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4441540000 = 25541371621
BaseRepresentation
bin1000010001011110…
…01000010110100000
3102110112112121110111
410020233020112200
533044013240000
62012421341104
7215031316132
oct41057102640
912415477414
104441540000
11197a151817
12a3b567794
1355a2487a1
14301c4d052
151aede1cba
hex108bc85a0

4441540000 has 120 divisors (see below), whose sum is σ = 11013402708. Its totient is φ = 1762560000.

The previous prime is 4441539989. The next prime is 4441540007. The reversal of 4441540000 is 451444.

It can be written as a sum of positive squares in 10 ways, for example, as 42667024 + 4398872976 = 6532^2 + 66324^2 .

It is not an unprimeable number, because it can be changed into a prime (4441540007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2739190 + ... + 2740810.

Almost surely, 24441540000 is an apocalyptic number.

4441540000 is a gapful number since it is divisible by the number (40) 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 4441540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506701354).

4441540000 is an abundant number, since it is smaller than the sum of its proper divisors (6571862708).

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

4441540000 is a wasteful number, since it uses less digits than its factorization.

4441540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 4441540000 is about 66644.8797733179. The cubic root of 4441540000 is about 1643.7831560440.

Adding to 4441540000 its reverse (451444), we get a palindrome (4441991444).

The spelling of 4441540000 in words is "four billion, four hundred forty-one million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 137 160 200 250 274 400 500 548 625 685 800 1000 1096 1250 1370 1621 2000 2192 2500 2740 3242 3425 4000 4384 5000 5480 6484 6850 8105 10000 10960 12968 13700 16210 17125 20000 21920 25936 27400 32420 34250 40525 51872 54800 64840 68500 81050 85625 109600 129680 137000 162100 171250 202625 222077 259360 274000 324200 342500 405250 444154 548000 648400 685000 810500 888308 1013125 1110385 1296800 1370000 1621000 1776616 2026250 2220770 2740000 3242000 3553232 4052500 4441540 5551925 6484000 7106464 8105000 8883080 11103850 16210000 17766160 22207700 27759625 32420000 35532320 44415400 55519250 88830800 111038500 138798125 177661600 222077000 277596250 444154000 555192500 888308000 1110385000 2220770000 4441540000