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2424304340241 = 378313910006333
BaseRepresentation
bin100011010001110011110…
…011001000110100010001
322120202112221022121222120
4203101303303020310101
5304204433402341431
65053413211324453
7340102343613630
oct43216363106421
98522487277876
102424304340241
11855161664793
12331a1a750729
131477c3259214
14854a0871517
15430dd482196
hex23473cc8d11

2424304340241 has 32 divisors (see below), whose sum is σ = 3765583610880. Its totient is φ = 1358779834944.

The previous prime is 2424304340233. The next prime is 2424304340243. The reversal of 2424304340241 is 1420434034242.

It is not a de Polignac number, because 2424304340241 - 23 = 2424304340233 is a prime.

It is a super-2 number, since 2×24243043402412 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2424304340243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4760890 + ... + 5245443.

It is an arithmetic number, because the mean of its divisors is an integer number (117674487840).

Almost surely, 22424304340241 is an apocalyptic number.

2424304340241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2424304340241 is a deficient number, since it is larger than the sum of its proper divisors (1341279270639).

2424304340241 is a wasteful number, since it uses less digits than its factorization.

2424304340241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10006565.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 2424304340241 its reverse (1420434034242), we get a palindrome (3844738374483).

The spelling of 2424304340241 in words is "two trillion, four hundred twenty-four billion, three hundred four million, three hundred forty thousand, two hundred forty-one".

Divisors: 1 3 7 21 83 139 249 417 581 973 1743 2919 11537 34611 80759 242277 10006333 30018999 70044331 210132993 830525639 1390880287 2491576917 4172640861 5813679473 9736162009 17441038419 29208486027 115443063821 346329191463 808101446747 2424304340241