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441740361348 = 2234112132611093
BaseRepresentation
bin1100110110110011100…
…01101111111010000100
31120020012122102102110000
412123121301233322010
524214141013030343
6534533245001300
743625511055416
oct6333161577204
91506178372400
10441740361348
11160382a10700
1271741b53230
133286b12c300
14175479609b6
15b7560a7ed3
hex66d9c6fe84

441740361348 has 540 divisors, whose sum is σ = 1398283241124. Its totient is φ = 121426905600.

The previous prime is 441740361343. The next prime is 441740361373. The reversal of 441740361348 is 843163047144.

441740361348 is a `hidden beast` number, since 441 + 7 + 40 + 36 + 134 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 54958362624 + 386781998724 = 234432^2 + 621918^2 .

It is a super-2 number, since 2×4417403613482 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (441740361343) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 404153490 + ... + 404154582.

Almost surely, 2441740361348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441740361348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699141620562).

441740361348 is an abundant number, since it is smaller than the sum of its proper divisors (956542879776).

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

441740361348 is a wasteful number, since it uses less digits than its factorization.

441740361348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 441740361348 in words is "four hundred forty-one billion, seven hundred forty million, three hundred sixty-one thousand, three hundred forty-eight".