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94424442240 = 2735463106219
BaseRepresentation
bin101011111110000100…
…0101010010110000000
3100000201121020122212110
41113330020222112000
53021340124122430
6111213351255320
76551632342032
oct1277410522600
9300647218773
1094424442240
1137055155027
121637267a540
138b9a66263b
1447da779c52
1526c99e27b0
hex15fc22a580

94424442240 has 128 divisors (see below), whose sum is σ = 301630809600. Its totient is φ = 25125230592.

The previous prime is 94424442193. The next prime is 94424442293. The reversal of 94424442240 is 4224442449.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 835851 + ... + 942069.

It is an arithmetic number, because the mean of its divisors is an integer number (2356490700).

Almost surely, 294424442240 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 94424442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150815404800).

94424442240 is an abundant number, since it is smaller than the sum of its proper divisors (207206367360).

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

94424442240 is a wasteful number, since it uses less digits than its factorization.

94424442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106704 (or 106692 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 39.

Adding to 94424442240 its reverse (4224442449), we get a palindrome (98648884689).

The spelling of 94424442240 in words is "ninety-four billion, four hundred twenty-four million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 463 480 640 926 960 1389 1852 1920 2315 2778 3704 4630 5556 6945 7408 9260 11112 13890 14816 18520 22224 27780 29632 37040 44448 55560 59264 74080 88896 106219 111120 148160 177792 212438 222240 296320 318657 424876 444480 531095 637314 849752 888960 1062190 1274628 1593285 1699504 2124380 2549256 3186570 3399008 4248760 5098512 6373140 6798016 8497520 10197024 12746280 13596032 16995040 20394048 25492560 33990080 40788096 49179397 50985120 67980160 98358794 101970240 147538191 196717588 203940480 245896985 295076382 393435176 491793970 590152764 737690955 786870352 983587940 1180305528 1475381910 1573740704 1967175880 2360611056 2950763820 3147481408 3934351760 4721222112 5901527640 6294962816 7868703520 9442444224 11803055280 15737407040 18884888448 23606110560 31474814080 47212221120 94424442240