Search a number
-
+
441333333024064 = 26132647200396191
BaseRepresentation
bin110010001011000111110110…
…0100010101101110101000000
32010212122001110210111122112021
41210112033230202231311000
5430321301131223232224
64202345422333211224
7161650165261503655
oct14426175442556500
92125561423448467
10441333333024064
11118693462a57228
12415b9434330b14
1315c3472997a610
147ada90c24bc2c
15360515d2c21e4
hex19163ec8add40

441333333024064 has 56 divisors (see below), whose sum is σ = 943494128987648. Its totient is φ = 203615354396160.

The previous prime is 441333333024029. The next prime is 441333333024121. The reversal of 441333333024064 is 460420333333144.

It is a super-2 number, since 2×4413333330240642 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 441333333024064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97995792 + ... + 102400399.

It is an arithmetic number, because the mean of its divisors is an integer number (16848109446208).

Almost surely, 2441333333024064 is an apocalyptic number.

It is an amenable number.

441333333024064 is an abundant number, since it is smaller than the sum of its proper divisors (502160795963584).

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

441333333024064 is a wasteful number, since it uses less digits than its factorization.

441333333024064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200398863 (or 200398853 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 43.

The spelling of 441333333024064 in words is "four hundred forty-one trillion, three hundred thirty-three billion, three hundred thirty-three million, twenty-four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 2647 5294 10588 21176 34411 42352 68822 84704 137644 169408 275288 550576 1101152 2202304 200396191 400792382 801584764 1603169528 2605150483 3206339056 5210300966 6412678112 10420601932 12825356224 20841203864 41682407728 83364815456 166729630912 530448717577 1060897435154 2121794870308 4243589740616 6895833328501 8487179481232 13791666657002 16974358962464 27583333314004 33948717924928 55166666628008 110333333256016 220666666512032 441333333024064