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42342241024 = 285329310651
BaseRepresentation
bin100111011011110010…
…110101001100000000
311001021220101201011001
4213123302311030000
51143204103203044
631241325101344
73026165052556
oct473362651400
9131256351131
1042342241024
1116a59100426
1282583b7854
133cba3c72b5
1420996b3bd6
15117c44e2d4
hex9dbcb5300

42342241024 has 72 divisors (see below), whose sum is σ = 86415798672. Its totient is φ = 20698828800.

The previous prime is 42342240989. The next prime is 42342241079. The reversal of 42342241024 is 42014224324.

It is a junction number, because it is equal to n+sod(n) for n = 42342240983 and 42342241001.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3970099 + ... + 3980749.

It is an arithmetic number, because the mean of its divisors is an integer number (1200219426).

Almost surely, 242342241024 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 42342241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43207899336).

42342241024 is an abundant number, since it is smaller than the sum of its proper divisors (44073557648).

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

42342241024 is a wasteful number, since it uses less digits than its factorization.

42342241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11013 (or 10999 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 42342241024 its reverse (42014224324), we get a palindrome (84356465348).

The spelling of 42342241024 in words is "forty-two billion, three hundred forty-two million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 293 424 586 848 1172 1696 2344 3392 4688 6784 9376 10651 13568 15529 18752 21302 31058 37504 42604 62116 75008 85208 124232 170416 248464 340832 496928 564503 681664 993856 1129006 1363328 1987712 2258012 2726656 3120743 3975424 4516024 6241486 9032048 12482972 18064096 24965944 36128192 49931888 72256384 99863776 144512768 165399379 199727552 330798758 399455104 661597516 798910208 1323195032 2646390064 5292780128 10585560256 21171120512 42342241024