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1444020672 = 26319311132
BaseRepresentation
bin101011000010010…
…0000000111000000
310201122011211222010
41112010200013000
510424132130142
6355142212520
750532654543
oct12604400700
93648154863
101444020672
11681126116
12343724140
131a0222403
14d9ad085a
1586b8ce9c
hex561201c0

1444020672 has 168 divisors, whose sum is σ = 4188520960. Its totient is φ = 437391360.

The previous prime is 1444020623. The next prime is 1444020673. The reversal of 1444020672 is 2760204441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444020673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12778888 + ... + 12779000.

Almost surely, 21444020672 is an apocalyptic number.

1444020672 is a gapful number since it is divisible by the number (12) 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 1444020672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094260480).

1444020672 is an abundant number, since it is smaller than the sum of its proper divisors (2744500288).

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

1444020672 is a wasteful number, since it uses less digits than its factorization.

1444020672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 1444020672 is about 38000.2719990265. The cubic root of 1444020672 is about 1130.2932572207.

The spelling of 1444020672 in words is "one billion, four hundred forty-four million, twenty thousand, six hundred seventy-two".