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4441117332 = 22317210312433
BaseRepresentation
bin1000010001011011…
…00001001010010100
3102110111202010200010
410020231201022110
533043411223312
62012404320220
7215024605641
oct41055411224
912414663603
104441117332
111979993203
12a3b3a3070
1355a12b2a2
14301b7cdc8
151aed5b93c
hex108b61294

4441117332 has 72 divisors (see below), whose sum is σ = 11115797056. Its totient is φ = 1379653632.

The previous prime is 4441117327. The next prime is 4441117367. The reversal of 4441117332 is 2337111444.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4441117332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350988 + ... + 363420.

Almost surely, 24441117332 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 4441117332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557898528).

4441117332 is an abundant number, since it is smaller than the sum of its proper divisors (6674679724).

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

4441117332 is a wasteful number, since it uses less digits than its factorization.

4441117332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12577 (or 12558 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 4441117332 is about 66641.7086515644. The cubic root of 4441117332 is about 1643.7310122246.

Adding to 4441117332 its reverse (2337111444), we get a palindrome (6778228776).

The spelling of 4441117332 in words is "four billion, four hundred forty-one million, one hundred seventeen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 103 204 206 289 309 412 578 618 867 1156 1236 1734 1751 3468 3502 5253 7004 10506 12433 21012 24866 29767 37299 49732 59534 74598 89301 119068 149196 178602 211361 357204 422722 634083 845444 1268166 1280599 2536332 2561198 3593137 3841797 5122396 7186274 7683594 10779411 14372548 15367188 21558822 21770183 43117644 43540366 65310549 87080732 130621098 261242196 370093111 740186222 1110279333 1480372444 2220558666 4441117332