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42363466436324 = 22114330617314877
BaseRepresentation
bin10011010000111100000110…
…10111100100111011100100
312112222220111210222220110102
421220132003113210323210
521023040334401430244
6230033301404243232
711631442122221255
oct1150360327447344
9175886453886412
1042363466436324
1112553277432120
1249023a7240518
131a83b1c602167
14a6658d0a2b2c
154d6e870d854e
hex2687835e4ee4

42363466436324 has 48 divisors (see below), whose sum is σ = 82783586187456. Its totient is φ = 18802157270400.

The previous prime is 42363466436309. The next prime is 42363466436329.

42363466436324 is nontrivially palindromic in base 10.

42363466436324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42363466436324.

It is not an unprimeable number, because it can be changed into a prime (42363466436329) 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 15 ways as a sum of consecutive naturals, for example, 2133974 + ... + 9448850.

It is an arithmetic number, because the mean of its divisors is an integer number (1724658045572).

Almost surely, 242363466436324 is an apocalyptic number.

42363466436324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42363466436324 is a deficient number, since it is larger than the sum of its proper divisors (40420119751132).

42363466436324 is a wasteful number, since it uses less digits than its factorization.

42363466436324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7317996 (or 7317994 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 56.

The spelling of 42363466436324 in words is "forty-two trillion, three hundred sixty-three billion, four hundred sixty-six million, four hundred thirty-six thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 43 44 86 172 473 946 1892 3061 6122 12244 33671 67342 131623 134684 263246 526492 1447853 2895706 5791412 7314877 14629754 29259508 80463647 160927294 314539711 321854588 629079422 1258158844 3459936821 6919873642 13839747284 22390838497 44781676994 89563353988 246299223467 492598446934 962806055371 985196893868 1925612110742 3851224221484 10590866609081 21181733218162 42363466436324