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1444149000 = 2336537283
BaseRepresentation
bin101011000010011…
…1111011100001000
310201122102101000000
41112010333130020
510424200232000
6355145043000
750534030640
oct12604773410
93648371000
101444149000
11681203578
12343786460
131a0268948
14d9b25520
1586bb6000
hex5613f708

1444149000 has 448 divisors, whose sum is σ = 5810912640. Its totient is φ = 328924800.

The previous prime is 1444148819. The next prime is 1444149011. The reversal of 1444149000 is 9414441.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5102859 + ... + 5103141.

Almost surely, 21444149000 is an apocalyptic number.

1444149000 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 1444149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905456320).

1444149000 is an abundant number, since it is smaller than the sum of its proper divisors (4366763640).

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

1444149000 is an equidigital number, since it uses as much as digits as its factorization.

1444149000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1444149000 is about 38001.9604757439. The cubic root of 1444149000 is about 1130.3267387305.

The spelling of 1444149000 in words is "one billion, four hundred forty-four million, one hundred forty-nine thousand".