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241311311201424 = 24314711333417311
BaseRepresentation
bin110110110111100010101010…
…111111000000010010010000
31011122102010200011221002110010
4312313202222333000102100
5223112121031131421144
62213120515211434520
7101554111150600452
oct6667425277002220
91148363604832403
10241311311201424
116a986609222662
12230938b9a55a40
13a485736198869
14438375ba062d2
151cd70dac435b9
hexdb78aafc0490

241311311201424 has 40 divisors (see below), whose sum is σ = 623388160104192. Its totient is φ = 80437025518720.

The previous prime is 241311311201413. The next prime is 241311311201447. The reversal of 241311311201424 is 424102113113142.

It is a super-2 number, since 2×2413113112014242 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241311311201391 and 241311311201400.

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 7 ways as a sum of consecutive naturals, for example, 68905729 + ... + 72323039.

Almost surely, 2241311311201424 is an apocalyptic number.

241311311201424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241311311201424 is an abundant number, since it is smaller than the sum of its proper divisors (382076848902768).

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

241311311201424 is a wasteful number, since it uses less digits than its factorization.

241311311201424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4888455 (or 4888449 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 241311311201424 its reverse (424102113113142), we get a palindrome (665413424314566).

The spelling of 241311311201424 in words is "two hundred forty-one trillion, three hundred eleven billion, three hundred eleven million, two hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1471133 2942266 3417311 4413399 5884532 6834622 8826798 10251933 11769064 13669244 17653596 20503866 23538128 27338488 35307192 41007732 54676976 70614384 82015464 164030928 5027318983363 10054637966726 15081956950089 20109275933452 30163913900178 40218551866904 60327827800356 80437103733808 120655655600712 241311311201424