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4441512420 = 2233537322051
BaseRepresentation
bin1000010001011110…
…00001100111100100
3102110112111012122000
410020233001213210
533044011344140
62012421005300
7215031142542
oct41057014744
912415435560
104441512420
11197a133024
12a3b553830
1355a239077
14301c42d92
151aedd8a30
hex108bc19e4

4441512420 has 96 divisors (see below), whose sum is σ = 13855712640. Its totient is φ = 1181174400.

The previous prime is 4441512403. The next prime is 4441512421. The reversal of 4441512420 is 242151444.

4441512420 is a `hidden beast` number, since 4 + 4 + 415 + 1 + 242 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4441512421) 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, 190395 + ... + 212445.

It is an arithmetic number, because the mean of its divisors is an integer number (144330340).

Almost surely, 24441512420 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 4441512420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6927856320).

4441512420 is an abundant number, since it is smaller than the sum of its proper divisors (9414200220).

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

4441512420 is a wasteful number, since it uses less digits than its factorization.

4441512420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22442 (or 22434 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4441512420 is about 66644.6728553753. The cubic root of 4441512420 is about 1643.7797536480.

Adding to 4441512420 its reverse (242151444), we get a palindrome (4683663864).

The spelling of 4441512420 in words is "four billion, four hundred forty-one million, five hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 373 540 746 1119 1492 1865 2238 3357 3730 4476 5595 6714 7460 10071 11190 13428 16785 20142 22051 22380 33570 40284 44102 50355 66153 67140 88204 100710 110255 132306 198459 201420 220510 264612 330765 396918 441020 595377 661530 793836 992295 1190754 1323060 1984590 2381508 2976885 3969180 5953770 8225023 11907540 16450046 24675069 32900092 41125115 49350138 74025207 82250230 98700276 123375345 148050414 164500460 222075621 246750690 296100828 370126035 444151242 493501380 740252070 888302484 1110378105 1480504140 2220756210 4441512420