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1441704960 = 21033510429
BaseRepresentation
bin101010111101110…
…1010110000000000
310201110211012102000
41111323222300000
510423034024320
6355020424000
750504201313
oct12573526000
93643735360
101441704960
1167a894303
123429a8000
1319c8c1377
14d968a97a
1586881c90
hex55eeac00

1441704960 has 176 divisors, whose sum is σ = 5124050400. Its totient is φ = 384417792.

The previous prime is 1441704923. The next prime is 1441704961. The reversal of 1441704960 is 694071441.

It is a super-3 number, since 3×14417049603 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1441704961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133026 + ... + 143454.

Almost surely, 21441704960 is an apocalyptic number.

1441704960 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 1441704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562025200).

1441704960 is an abundant number, since it is smaller than the sum of its proper divisors (3682345440).

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

1441704960 is a wasteful number, since it uses less digits than its factorization.

1441704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10463 (or 10439 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1441704960 is about 37969.7900968652. The cubic root of 1441704960 is about 1129.6887335432.

The spelling of 1441704960 in words is "one billion, four hundred forty-one million, seven hundred four thousand, nine hundred sixty".