Search a number
-
+
443130013741152 = 25313933208184483
BaseRepresentation
bin110010011000001100011111…
…1000011101111000001100000
32011002222211000120020202211210
41210300120333003233001200
5431040220232004204102
64210243041252310120
7162224041556561253
oct14460307703570140
92132884016222753
10443130013741152
111192164244214a1
1241849695012340
1316034c9a31b59a
147b5d86dc6109a
153636c6671936c
hex193063f0ef060

443130013741152 has 48 divisors (see below), whose sum is σ = 1171584748595520. Its totient is φ = 146647342672512.

The previous prime is 443130013741139. The next prime is 443130013741159. The reversal of 443130013741152 is 251147310031344.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 443130013741152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443130013741159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16604078898 + ... + 16604105585.

It is an arithmetic number, because the mean of its divisors is an integer number (24408015595740).

Almost surely, 2443130013741152 is an apocalyptic number.

It is an amenable number.

443130013741152 is an abundant number, since it is smaller than the sum of its proper divisors (728454734854368).

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

443130013741152 is a wasteful number, since it uses less digits than its factorization.

443130013741152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33208184635 (or 33208184627 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

Adding to 443130013741152 its reverse (251147310031344), we get a palindrome (694277323772496).

The spelling of 443130013741152 in words is "four hundred forty-three trillion, one hundred thirty billion, thirteen million, seven hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 4448 6672 13344 33208184483 66416368966 99624553449 132832737932 199249106898 265665475864 398498213796 531330951728 796996427592 1062661903456 1593992855184 3187985710368 4615937643137 9231875286274 13847812929411 18463750572548 27695625858822 36927501145096 55391251717644 73855002290192 110782503435288 147710004580384 221565006870576 443130013741152