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1144044720 = 2432571319919
BaseRepresentation
bin100010000110000…
…1011110010110000
32221201201111022200
41010030023302300
54320333412340
6305304503200
740231135230
oct10414136260
92851644280
101144044720
11537868805
1227b17ab00
13153032550
14abd25cc0
156a686330
hex4430bcb0

1144044720 has 480 divisors, whose sum is σ = 4983014400. Its totient is φ = 228427776.

The previous prime is 1144044703. The next prime is 1144044731. The reversal of 1144044720 is 274404411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1244421 + ... + 1245339.

It is an arithmetic number, because the mean of its divisors is an integer number (10381280).

Almost surely, 21144044720 is an apocalyptic number.

1144044720 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 1144044720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491507200).

1144044720 is an abundant number, since it is smaller than the sum of its proper divisors (3838969680).

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

1144044720 is a wasteful number, since it uses less digits than its factorization.

1144044720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 1144044720 is about 33823.7301313737. The cubic root of 1144044720 is about 1045.8779341025.

The spelling of 1144044720 in words is "one billion, one hundred forty-four million, forty-four thousand, seven hundred twenty".