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4444001280 = 210335173161
BaseRepresentation
bin1000010001110001…
…00001010000000000
3102110201011122201000
410020320201100000
533100131020110
62012550212000
7215061246645
oct41070412000
912421148630
104444001280
111980582a34
12a40354000
1355a8cab74
143022cddcc
151b022b1c0
hex108e21400

4444001280 has 704 divisors, whose sum is σ = 17544591360. Its totient is φ = 1061683200.

The previous prime is 4444001279. The next prime is 4444001323. The reversal of 4444001280 is 821004444.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 72852450 + ... + 72852510.

Almost surely, 24444001280 is an apocalyptic number.

4444001280 is a gapful number since it is divisible by the number (40) 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 4444001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8772295680).

4444001280 is an abundant number, since it is smaller than the sum of its proper divisors (13100590080).

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

4444001280 is a wasteful number, since it uses less digits than its factorization.

4444001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4444001280 is about 66663.3428504752. The cubic root of 4444001280 is about 1644.0867341954.

The spelling of 4444001280 in words is "four billion, four hundred forty-four million, one thousand, two hundred eighty".