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42042310144 = 29233570169
BaseRepresentation
bin100111001001111010…
…101011111000000000
311000112000000122022221
4213021322223320000
51142100312411034
631151452340424
73015563511532
oct471172537000
9130460018287
1042042310144
111691487396a
128193a74714
133c70221ac3
14206b91b852
151160e55bb4
hex9c9eabe00

42042310144 has 40 divisors (see below), whose sum is σ = 87654813840. Its totient is φ = 20107186176.

The previous prime is 42042310133. The next prime is 42042310153. The reversal of 42042310144 is 44101324024.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1773309 + ... + 1796860.

It is an arithmetic number, because the mean of its divisors is an integer number (2191370346).

Almost surely, 242042310144 is an apocalyptic number.

It is an amenable number.

42042310144 is an abundant number, since it is smaller than the sum of its proper divisors (45612503696).

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

42042310144 is an equidigital number, since it uses as much as digits as its factorization.

42042310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570210 (or 3570194 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 42042310144 its reverse (44101324024), we get a palindrome (86143634168).

The spelling of 42042310144 in words is "forty-two billion, forty-two million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1472 2944 5888 11776 3570169 7140338 14280676 28561352 57122704 82113887 114245408 164227774 228490816 328455548 456981632 656911096 913963264 1313822192 1827926528 2627644384 5255288768 10510577536 21021155072 42042310144