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243310421431120 = 24522956923341189
BaseRepresentation
bin110111010100101000011111…
…001111010101001101010000
31011220111020201121111221000111
4313110220133033111031100
5223342344220341243440
62221251133045531104
7102151412030304151
oct6724503717251520
91156436647457014
10243310421431120
117058740889888a
1223357233a13a94
13a59c0c72a8814
14441240423d928
151d1e0e0a654ea
hexdd4a1f3d5350

243310421431120 has 80 divisors (see below), whose sum is σ = 569165581674000. Its totient is φ = 96728870744064.

The previous prime is 243310421431109. The next prime is 243310421431159. The reversal of 243310421431120 is 21134124013342.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13612026544704 + 229698394886416 = 3689448^2 + 15155804^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2433104214311202 (a number of 30 digits) contains 22 as substring.

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, 1246515 + ... + 22094674.

It is an arithmetic number, because the mean of its divisors is an integer number (7114569770925).

Almost surely, 2243310421431120 is an apocalyptic number.

243310421431120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243310421431120 is an abundant number, since it is smaller than the sum of its proper divisors (325855160242880).

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

243310421431120 is a wasteful number, since it uses less digits than its factorization.

243310421431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23342000 (or 23341994 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 243310421431120 its reverse (21134124013342), we get a palindrome (264444545444462).

The spelling of 243310421431120 in words is "two hundred forty-three trillion, three hundred ten billion, four hundred twenty-one million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 569 916 1138 1145 1832 2276 2290 2845 3664 4552 4580 5690 9104 9160 11380 18320 22760 45520 130301 260602 521204 651505 1042408 1303010 2084816 2606020 5212040 10424080 23341189 46682378 93364756 116705945 186729512 233411890 373459024 466823780 933647560 1867295120 5345132281 10690264562 13281136541 21380529124 26562273082 26725661405 42761058248 53124546164 53451322810 66405682705 85522116496 106249092328 106902645620 132811365410 212498184656 213805291240 265622730820 427610582480 531245461640 1062490923280 3041380267889 6082760535778 12165521071556 15206901339445 24331042143112 30413802678890 48662084286224 60827605357780 121655210715560 243310421431120