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1441803090420 = 22335711219251661
BaseRepresentation
bin10100111110110010001…
…010010011100111110100
312002211112201212211001000
4110332302022103213310
5142110303042343140
63022204420003300
7206111140026150
oct24766212234764
95084481784030
101441803090420
11506513290900
121b3520b30530
13a5c663bc034
144dad8456060
15277880b0a30
hex14fb22939f4

1441803090420 has 1152 divisors, whose sum is σ = 5964024729600. Its totient is φ = 282268800000.

The previous prime is 1441803090383. The next prime is 1441803090433. The reversal of 1441803090420 is 240903081441.

It is a happy number.

1441803090420 is a `hidden beast` number, since 1 + 4 + 41 + 80 + 30 + 90 + 420 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2181244890 + ... + 2181245550.

It is an arithmetic number, because the mean of its divisors is an integer number (5177104800).

Almost surely, 21441803090420 is an apocalyptic number.

1441803090420 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 1441803090420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982012364800).

1441803090420 is an abundant number, since it is smaller than the sum of its proper divisors (4522221639180).

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

1441803090420 is a wasteful number, since it uses less digits than its factorization.

1441803090420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1441803090420 in words is "one trillion, four hundred forty-one billion, eight hundred three million, ninety thousand, four hundred twenty".