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42405241344 = 293132120899
BaseRepresentation
bin100111011111100011…
…001010001000000000
311001110021221110100020
4213133203022020000
51143321220210334
631251455253440
73030561414144
oct473743121000
9131407843306
1042405241344
1116a90720504
12827551a280
133cca484aab
1420a3bd3224
151182c45e49
hex9df8ca200

42405241344 has 80 divisors (see below), whose sum is σ = 113061141600. Its totient is φ = 14123704320.

The previous prime is 42405241343. The next prime is 42405241349. The reversal of 42405241344 is 44314250424.

It is not an unprimeable number, because it can be changed into a prime (42405241343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2018607 + ... + 2039505.

It is an arithmetic number, because the mean of its divisors is an integer number (1413264270).

Almost surely, 242405241344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42405241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56530570800).

42405241344 is an abundant number, since it is smaller than the sum of its proper divisors (70655900256).

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

42405241344 is a wasteful number, since it uses less digits than its factorization.

42405241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22241 (or 22225 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 42405241344 its reverse (44314250424), we get a palindrome (86719491768).

The spelling of 42405241344 in words is "forty-two billion, four hundred five million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1321 1536 2642 3963 5284 7926 10568 15852 20899 21136 31704 41798 42272 62697 63408 83596 84544 125394 126816 167192 169088 250788 253632 334384 338176 501576 507264 668768 676352 1003152 1014528 1337536 2006304 2029056 2675072 4012608 5350144 8025216 10700288 16050432 27607579 32100864 55215158 82822737 110430316 165645474 220860632 331290948 441721264 662581896 883442528 1325163792 1766885056 2650327584 3533770112 5300655168 7067540224 10601310336 14135080448 21202620672 42405241344