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42432044032 = 210716735447
BaseRepresentation
bin100111100001001001…
…011001110000000000
311001112011101011201101
4213201021121300000
51143400100402112
631254253544144
73031335265120
oct474111316000
9131464334641
1042432044032
1116aa4867794
1282824a5054
134002baa681
1420a75acc80
15118528c757
hex9e1259c00

42432044032 has 88 divisors (see below), whose sum is σ = 97523403264. Its totient is φ = 18075758592.

The previous prime is 42432044029. The next prime is 42432044069. The reversal of 42432044032 is 23044023424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1179333 + ... + 1214779.

Almost surely, 242432044032 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 42432044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48761701632).

42432044032 is an abundant number, since it is smaller than the sum of its proper divisors (55091359232).

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

42432044032 is a wasteful number, since it uses less digits than its factorization.

42432044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35641 (or 35623 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 42432044032 its reverse (23044023424), we get a palindrome (65476067456).

The spelling of 42432044032 in words is "forty-two billion, four hundred thirty-two million, forty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 167 224 256 334 448 512 668 896 1024 1169 1336 1792 2338 2672 3584 4676 5344 7168 9352 10688 18704 21376 35447 37408 42752 70894 74816 85504 141788 149632 171008 248129 283576 299264 496258 567152 598528 992516 1134304 1197056 1985032 2268608 3970064 4537216 5919649 7940128 9074432 11839298 15880256 18148864 23678596 31760512 36297728 41437543 47357192 63521024 82875086 94714384 127042048 165750172 189428768 254084096 331500344 378857536 663000688 757715072 1326001376 1515430144 2652002752 3030860288 5304005504 6061720576 10608011008 21216022016 42432044032