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42131343012 = 223114164312107
BaseRepresentation
bin100111001111001110…
…010100011010100100
311000202012112222110120
4213033032110122210
51142241110434022
631204352521540
73021024335553
oct471716243244
9130665488416
1042131343012
1116960054650
1281b98502b0
133c857c5785
142079695d9a
151168b90d5c
hex9cf3946a4

42131343012 has 96 divisors (see below), whose sum is σ = 110039053824. Its totient is φ = 12435283200.

The previous prime is 42131342989. The next prime is 42131343013. The reversal of 42131343012 is 21034313124.

It is a happy number.

42131343012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42131343013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3473863 + ... + 3485969.

It is an arithmetic number, because the mean of its divisors is an integer number (1146240144).

Almost surely, 242131343012 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 42131343012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55019526912).

42131343012 is an abundant number, since it is smaller than the sum of its proper divisors (67907710812).

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

42131343012 is a wasteful number, since it uses less digits than its factorization.

42131343012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12809 (or 12807 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42131343012 its reverse (21034313124), we get a palindrome (63165656136).

The spelling of 42131343012 in words is "forty-two billion, one hundred thirty-one million, three hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 643 902 1286 1353 1804 1929 2572 2706 3858 5412 7073 7716 12107 14146 21219 24214 26363 28292 36321 42438 48428 52726 72642 79089 84876 105452 133177 145284 158178 266354 289993 316356 399531 496387 532708 579986 799062 869979 992774 1159972 1489161 1598124 1739958 1985548 2978322 3479916 5460257 5956644 7784801 10920514 15569602 16380771 21841028 23354403 31139204 32761542 46708806 65523084 85632811 93417612 171265622 256898433 319176841 342531244 513796866 638353682 957530523 1027593732 1276707364 1915061046 3510945251 3830122092 7021890502 10532835753 14043781004 21065671506 42131343012