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241311242452440 = 23353176343618361
BaseRepresentation
bin110110110111100010100110…
…111000101111110111011000
31011122102010111101120021120110
4312313202212320233313120
5223112120411031434230
62213120504314124320
7101554106354334216
oct6667424670576730
91148363441507513
10241311242452440
116a986583436516
122309389aa206a0
13a485724b775a4
14438375282bcb6
151cd70d4bb34b0
hexdb78a6e2fdd8

241311242452440 has 64 divisors (see below), whose sum is σ = 726217430081760. Its totient is φ = 64146668856320.

The previous prime is 241311242452439. The next prime is 241311242452453. The reversal of 241311242452440 is 44254242113142.

It is a happy number.

It is a super-2 number, since 2×2413112424524402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3171771141 + ... + 3171847220.

Almost surely, 2241311242452440 is an apocalyptic number.

241311242452440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241311242452440 is an abundant number, since it is smaller than the sum of its proper divisors (484906187629320).

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

241311242452440 is a wasteful number, since it uses less digits than its factorization.

241311242452440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6343618692 (or 6343618688 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 39.

Adding to 241311242452440 its reverse (44254242113142), we get a palindrome (285565484565582).

The spelling of 241311242452440 in words is "two hundred forty-one trillion, three hundred eleven billion, two hundred forty-two million, four hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 317 634 951 1268 1585 1902 2536 3170 3804 4755 6340 7608 9510 12680 19020 38040 6343618361 12687236722 19030855083 25374473444 31718091805 38061710166 50748946888 63436183610 76123420332 95154275415 126872367220 152246840664 190308550830 253744734440 380617101660 761234203320 2010927020437 4021854040874 6032781061311 8043708081748 10054635102185 12065562122622 16087416163496 20109270204370 24131124245244 30163905306555 40218540408740 48262248490488 60327810613110 80437080817480 120655621226220 241311242452440