Search a number
-
+
33324441414 = 23114189138371
BaseRepresentation
bin11111000010010010…
…101001111101000110
310012000102211000122220
4133002102221331012
51021222024111124
623150430233210
72256545035605
oct370222517506
9105012730586
1033324441414
1113150862080
126560355806
1331b10542b4
141881b87a3c
15d00908879
hex7c24a9f46

33324441414 has 64 divisors (see below), whose sum is σ = 75318647040. Its totient is φ = 9741248000.

The previous prime is 33324441413. The next prime is 33324441421. The reversal of 33324441414 is 41414442333.

It is a super-2 number, since 2×333244414142 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33324441413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171649 + ... + 310019.

It is an arithmetic number, because the mean of its divisors is an integer number (1176853860).

Almost surely, 233324441414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33324441414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37659323520).

33324441414 is an abundant number, since it is smaller than the sum of its proper divisors (41994205626).

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

33324441414 is a wasteful number, since it uses less digits than its factorization.

33324441414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138517.

The product of its digits is 55296, while the sum is 33.

Adding to 33324441414 its reverse (41414442333), we get a palindrome (74738883747).

The spelling of 33324441414 in words is "thirty-three billion, three hundred twenty-four million, four hundred forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 41 66 82 89 123 178 246 267 451 534 902 979 1353 1958 2706 2937 3649 5874 7298 10947 21894 40139 80278 120417 138371 240834 276742 415113 830226 1522081 3044162 4566243 5673211 9132486 11346422 12315019 17019633 24630038 34039266 36945057 62405321 73890114 124810642 135465209 187215963 270930418 374431926 406395627 504915779 812791254 1009831558 1514747337 3029494674 5554073569 11108147138 16662220707 33324441414