Search a number
-
+
3244024424020 = 2251973230950647
BaseRepresentation
bin101111001101001110111…
…011000110011001010100
3102111010101122021102100111
4233031032323012121110
5411122230223032040
610522141221452404
7453241643431402
oct57151673063124
912433348242314
103244024424020
111040868241286
12444869271104
131a6baa8c5003
14b3023c56472
15595b7b4bdea
hex2f34eec6654

3244024424020 has 96 divisors (see below), whose sum is σ = 7272526060800. Its totient is φ = 1211925556224.

The previous prime is 3244024423999. The next prime is 3244024424027. The reversal of 3244024424020 is 204244204423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3244024424027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 64026337 + ... + 64076983.

It is an arithmetic number, because the mean of its divisors is an integer number (75755479800).

Almost surely, 23244024424020 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 3244024424020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636263030400).

3244024424020 is an abundant number, since it is smaller than the sum of its proper divisors (4028501636780).

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

3244024424020 is a wasteful number, since it uses less digits than its factorization.

3244024424020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53057 (or 53055 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

Adding to 3244024424020 its reverse (204244204423), we get a palindrome (3448268628443).

The spelling of 3244024424020 in words is "three trillion, two hundred forty-four billion, twenty-four million, four hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 146 190 292 365 380 730 1387 1460 2309 2774 4618 5548 6935 9236 11545 13870 23090 27740 43871 46180 50647 87742 101294 168557 175484 202588 219355 253235 337114 438710 506470 674228 842785 877420 962293 1012940 1685570 1924586 3202583 3371140 3697231 3849172 4811465 6405166 7394462 9622930 12810332 14788924 16012915 18486155 19245860 32025830 36972310 64051660 70247389 73944620 116943923 140494778 233887846 280989556 351236945 467775692 584719615 702473890 1169439230 1404947780 2221934537 2338878460 4443869074 8536906379 8887738148 11109672685 17073812758 22219345370 34147625516 42684531895 44438690740 85369063790 162201221201 170738127580 324402442402 648804884804 811006106005 1622012212010 3244024424020