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1444000740 = 22357131747331
BaseRepresentation
bin101011000010001…
…1011001111100100
310201122010211121220
41112010123033210
510424131010430
6355141540340
750532542460
oct12604331744
93648124556
101444000740
11681112146
123437146b0
131a0216310
14d9ac74a0
1586b87110
hex5611b3e4

1444000740 has 384 divisors, whose sum is σ = 5397331968. Its totient is φ = 279797760.

The previous prime is 1444000729. The next prime is 1444000763. The reversal of 1444000740 is 470004441.

It is a self number, because there is not a number n which added to its sum of digits gives 1444000740.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4362375 + ... + 4362705.

It is an arithmetic number, because the mean of its divisors is an integer number (14055552).

Almost surely, 21444000740 is an apocalyptic number.

1444000740 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 1444000740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698665984).

1444000740 is an abundant number, since it is smaller than the sum of its proper divisors (3953331228).

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

1444000740 is a wasteful number, since it uses less digits than its factorization.

1444000740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 1444000740 is about 38000.0097368409. The cubic root of 1444000740 is about 1130.2880566699.

The spelling of 1444000740 in words is "one billion, four hundred forty-four million, seven hundred forty", and thus it is an aban number.