Search a number
-
+
41243443340 = 2251110313011399
BaseRepresentation
bin100110011010010011…
…010000000010001100
310221110022211000002112
4212122103100002030
51133431310141330
630540314043152
72660023325021
oct463223200214
9127408730075
1041243443340
1116544937470
127bb04194b8
133b73877958
141dd37a9548
151115c54795
hex99a4d008c

41243443340 has 96 divisors (see below), whose sum is σ = 95543884800. Its totient is φ = 14829984000.

The previous prime is 41243443321. The next prime is 41243443349. The reversal of 41243443340 is 4334434214.

It is a junction number, because it is equal to n+sod(n) for n = 41243443297 and 41243443306.

It is not an unprimeable number, because it can be changed into a prime (41243443349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29479961 + ... + 29481359.

It is an arithmetic number, because the mean of its divisors is an integer number (995248800).

Almost surely, 241243443340 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 41243443340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47771942400).

41243443340 is an abundant number, since it is smaller than the sum of its proper divisors (54300441460).

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

41243443340 is a wasteful number, since it uses less digits than its factorization.

41243443340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 41243443340 its reverse (4334434214), we get a palindrome (45577877554).

The spelling of 41243443340 in words is "forty-one billion, two hundred forty-three million, four hundred forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 1301 1399 2060 2266 2602 2798 4532 5204 5596 5665 6505 6995 11330 13010 13990 14311 15389 22660 26020 27980 28622 30778 57244 61556 71555 76945 134003 143110 144097 153890 268006 286220 288194 307780 536012 576388 670015 720485 1340030 1440970 1474033 1585067 1820099 2680060 2881940 2948066 3170134 3640198 5896132 6340268 7280396 7370165 7925335 9100495 14740330 15850670 18200990 20021089 29480660 31701340 36401980 40042178 80084356 100105445 187470197 200210890 374940394 400421780 749880788 937350985 1874701970 2062172167 3749403940 4124344334 8248688668 10310860835 20621721670 41243443340