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1445004000 = 253253114189
BaseRepresentation
bin101011000100001…
…0000001011100000
310201201000210211200
41112020100023200
510424410112000
6355215241200
750544221436
oct12610201340
93651023750
101445004000
11681737990
12343b19200
131a04a7b6b
14d9ca8d56
1586cd4500
hex562102e0

1445004000 has 576 divisors, whose sum is σ = 5795375040. Its totient is φ = 337920000.

The previous prime is 1445003981. The next prime is 1445004007. The reversal of 1445004000 is 4005441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445004007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16235956 + ... + 16236044.

It is an arithmetic number, because the mean of its divisors is an integer number (10061415).

Almost surely, 21445004000 is an apocalyptic number.

1445004000 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 1445004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897687520).

1445004000 is an abundant number, since it is smaller than the sum of its proper divisors (4350371040).

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

1445004000 is a wasteful number, since it uses less digits than its factorization.

1445004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1445004000 is about 38013.2082308242. The cubic root of 1445004000 is about 1130.5497625093.

Adding to 1445004000 its reverse (4005441), we get a palindrome (1449009441).

The spelling of 1445004000 in words is "one billion, four hundred forty-five million, four thousand".