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441144990 = 23251113151227
BaseRepresentation
bin11010010010110…
…101011010011110
31010202002111011100
4122102311122132
51400413114430
6111435133530
713634445666
oct3222653236
91122074140
10441144990
11207018840
121038a42a6
1370519350
14428351a6
1528ade960
hex1a4b569e

441144990 has 192 divisors, whose sum is σ = 1362396672. Its totient is φ = 97632000.

The previous prime is 441144971. The next prime is 441145027. The reversal of 441144990 is 99441144.

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, 1943257 + ... + 1943483.

It is an arithmetic number, because the mean of its divisors is an integer number (7095816).

Almost surely, 2441144990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441144990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681198336).

441144990 is an abundant number, since it is smaller than the sum of its proper divisors (921251682).

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

441144990 is a wasteful number, since it uses less digits than its factorization.

441144990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 441144990 is about 21003.4518591588. The cubic root of 441144990 is about 761.2496695704.

The spelling of 441144990 in words is "four hundred forty-one million, one hundred forty-four thousand, nine hundred ninety".