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42304214432 = 256124378893
BaseRepresentation
bin100111011001100001…
…110001010110100000
311001012020211202110202
4213121201301112200
51143114334330212
631233450044332
73025223614064
oct473141612640
9131166752422
1042304214432
1116a39698497
1282477196a8
133cb2571a5c
142094615aa4
151178e3c0c2
hex9d98715a0

42304214432 has 48 divisors (see below), whose sum is σ = 84696032232. Its totient is φ = 20794475520.

The previous prime is 42304214411. The next prime is 42304214441. The reversal of 42304214432 is 23441240324.

It can be written as a sum of positive squares in 4 ways, for example, as 27700942096 + 14603272336 = 166436^2 + 120844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42304214395 and 42304214404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4752578 + ... + 4761470.

Almost surely, 242304214432 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 42304214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42348016116).

42304214432 is an abundant number, since it is smaller than the sum of its proper divisors (42391817800).

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

42304214432 is a wasteful number, since it uses less digits than its factorization.

42304214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11401 (or 11393 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 42304214432 its reverse (23441240324), we get a palindrome (65745454756).

The spelling of 42304214432 in words is "forty-two billion, three hundred four million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 2437 4874 8893 9748 17786 19496 35572 38992 71144 77984 142288 148657 284576 297314 542473 594628 1084946 1189256 2169892 2378512 4339784 4757024 8679568 17359136 21672241 43344482 86688964 173377928 346755856 693511712 1322006701 2644013402 5288026804 10576053608 21152107216 42304214432