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1441143200 = 255272367167
BaseRepresentation
bin101010111100110…
…0001100110100000
310201102202122211002
41111321201212200
510422413040300
6355000411132
750466341450
oct12571414640
93642678732
101441143200
1167a540242
12342776aa8
1319c755773
14d9581d60
15867c05d5
hex55e619a0

1441143200 has 288 divisors, whose sum is σ = 4283725824. Its totient is φ = 462781440.

The previous prime is 1441143199. The next prime is 1441143241. The reversal of 1441143200 is 23411441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8629517 + ... + 8629683.

It is an arithmetic number, because the mean of its divisors is an integer number (14874048).

Almost surely, 21441143200 is an apocalyptic number.

1441143200 is a gapful number since it is divisible by the number (10) 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 1441143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141862912).

1441143200 is an abundant number, since it is smaller than the sum of its proper divisors (2842582624).

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

1441143200 is a wasteful number, since it uses less digits than its factorization.

1441143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1441143200 is about 37962.3919162110. The cubic root of 1441143200 is about 1129.5419868314.

Adding to 1441143200 its reverse (23411441), we get a palindrome (1464554641).

The spelling of 1441143200 in words is "one billion, four hundred forty-one million, one hundred forty-three thousand, two hundred".