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42435453424 = 2471361747237
BaseRepresentation
bin100111100001010110…
…011010000111110000
311001112101210101112011
4213201112122013300
51143401434002144
631254455012304
73031406255050
oct474126320760
9131471711464
1042435453424
1116aa6786271
12828366a094
134003802470
1420a7c19560
151185712a34
hex9e159a1f0

42435453424 has 80 divisors (see below), whose sum is σ = 101358387648. Its totient is φ = 16760088576.

The previous prime is 42435453391. The next prime is 42435453427.

42435453424 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42435453427) 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, 874734 + ... + 921970.

Almost surely, 242435453424 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 42435453424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50679193824).

42435453424 is an abundant number, since it is smaller than the sum of its proper divisors (58922934224).

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

42435453424 is a wasteful number, since it uses less digits than its factorization.

42435453424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47882 (or 47876 counting only the distinct ones).

The product of its digits is 921600, while the sum is 40.

The spelling of 42435453424 in words is "forty-two billion, four hundred thirty-five million, four hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 617 728 1234 1456 2468 4319 4936 8021 8638 9872 16042 17276 32084 34552 47237 56147 64168 69104 94474 112294 128336 188948 224588 330659 377896 449176 614081 661318 755792 898352 1228162 1322636 2456324 2645272 4298567 4912648 5290544 8597134 9825296 17194268 29145229 34388536 58290458 68777072 116580916 204016603 233161832 378887977 408033206 466323664 757775954 816066412 1515551908 1632132824 2652215839 3031103816 3264265648 5304431678 6062207632 10608863356 21217726712 42435453424