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442002241340 = 225111925565377
BaseRepresentation
bin1100110111010010110…
…00101111011100111100
31120020212220012022020222
412123221120233130330
524220210033210330
6535015242000512
743635141030062
oct6335130573474
91506786168228
10442002241340
111604a7818a50
12717b57a6138
13328b047119a
1417570650032
15b76e0870e5
hex66e962f73c

442002241340 has 72 divisors (see below), whose sum is σ = 1068686145072. Its totient is φ = 152268687360.

The previous prime is 442002241337. The next prime is 442002241379. The reversal of 442002241340 is 43142200244.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 2703269 + ... + 2862108.

It is an arithmetic number, because the mean of its divisors is an integer number (14842863126).

Almost surely, 2442002241340 is an apocalyptic number.

It is an amenable number.

442002241340 is an abundant number, since it is smaller than the sum of its proper divisors (626683903732).

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

442002241340 is a wasteful number, since it uses less digits than its factorization.

442002241340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5565435 (or 5565414 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 442002241340 its reverse (43142200244), we get a palindrome (485144441584).

The spelling of 442002241340 in words is "four hundred forty-two billion, two million, two hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 361 380 418 722 836 1045 1444 1805 2090 3610 3971 4180 7220 7942 15884 19855 39710 79420 5565377 11130754 22261508 27826885 55653770 61219147 105742163 111307540 122438294 211484326 244876588 306095735 422968652 528710815 612191470 1057421630 1163163793 1224382940 2009101097 2114843260 2326327586 4018202194 4652655172 5815818965 8036404388 10045505485 11631637930 20091010970 22100112067 23263275860 40182021940 44200224134 88400448268 110500560335 221001120670 442002241340