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1444104000 = 26325331647
BaseRepresentation
bin101011000010011…
…0100011101000000
310201122100002021100
41112010310131000
510424142312000
6355144054400
750533452513
oct12604643500
93648302240
101444104000
11681182789
12343764400
131a0251311
14d9b12d7a
1586ba7a00
hex56134740

1444104000 has 336 divisors, whose sum is σ = 5340681216. Its totient is φ = 372096000.

The previous prime is 1444103989. The next prime is 1444104019. The reversal of 1444104000 is 4014441.

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

It is a congruent number.

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, 2231677 + ... + 2232323.

Almost surely, 21444104000 is an apocalyptic number.

1444104000 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 1444104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670340608).

1444104000 is an abundant number, since it is smaller than the sum of its proper divisors (3896577216).

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

1444104000 is a wasteful number, since it uses less digits than its factorization.

1444104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1444104000 is about 38001.3683964144. The cubic root of 1444104000 is about 1130.3149981987.

Adding to 1444104000 its reverse (4014441), we get a palindrome (1448118441).

The spelling of 1444104000 in words is "one billion, four hundred forty-four million, one hundred four thousand".