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42005341456 = 2413457647683
BaseRepresentation
bin100111000111101101…
…101010010100010000
311000102102110102211021
4213013231222110100
51142011331411311
631144052125224
73014634340231
oct470755522420
9130372412737
1042005341456
11168a5a13831
128183606814
133c65679c40
142066a57088
15115caa2171
hex9c7b6a510

42005341456 has 80 divisors (see below), whose sum is σ = 88102111104. Its totient is φ = 19286479872.

The previous prime is 42005341453. The next prime is 42005341517. The reversal of 42005341456 is 65414350024.

It is not an unprimeable number, because it can be changed into a prime (42005341453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61500891 + ... + 61501573.

Almost surely, 242005341456 is an apocalyptic number.

It is an amenable number.

42005341456 is an abundant number, since it is smaller than the sum of its proper divisors (46096769648).

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

42005341456 is a wasteful number, since it uses less digits than its factorization.

42005341456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 42005341456 in words is "forty-two billion, five million, three hundred forty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 457 647 683 914 1294 1366 1828 2588 2732 3656 5176 5464 5941 7312 8411 8879 10352 10928 11882 16822 17758 23764 33644 35516 47528 67288 71032 95056 134576 142064 295679 312131 441901 591358 624262 883802 1182716 1248524 1767604 2365432 2497048 3535208 3843827 4057703 4730864 4994096 5744713 7070416 7687654 8115406 11489426 15375308 16230812 22978852 30750616 32461624 45957704 61501232 64923248 91915408 201948757 403897514 807795028 1615590056 2625333841 3231180112 5250667682 10501335364 21002670728 42005341456