Search a number
-
+
42143241144330 = 23257328192275451
BaseRepresentation
bin10011001010100001111001…
…11010110000100000001010
312112012212001221020221012100
421211100330322300200022
521010433324213104310
6225344200540054230
711606514542143344
oct1145207472604012
9175185057227170
1042143241144330
1112478936a54777
124887786234376
131a69124036cb1
14a59a5ac12294
154d1398244ec0
hex26543ceb080a

42143241144330 has 96 divisors (see below), whose sum is σ = 111112869666240. Its totient is φ = 11080312876800.

The previous prime is 42143241144313. The next prime is 42143241144331. The reversal of 42143241144330 is 3344114234124.

42143241144330 is a `hidden beast` number, since 4 + 2 + 1 + 43 + 241 + 1 + 44 + 330 = 666.

It is a super-2 number, since 2×421432411443302 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42143241144331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17383105 + ... + 19658555.

It is an arithmetic number, because the mean of its divisors is an integer number (1157425725690).

Almost surely, 242143241144330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42143241144330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55556434833120).

42143241144330 is an abundant number, since it is smaller than the sum of its proper divisors (68969628521910).

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

42143241144330 is a wasteful number, since it uses less digits than its factorization.

42143241144330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278356 (or 2278353 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 42143241144330 its reverse (3344114234124), we get a palindrome (45487355378454).

The spelling of 42143241144330 in words is "forty-two trillion, one hundred forty-three billion, two hundred forty-one million, one hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 2819 3285 5638 6570 8457 14095 16914 25371 28190 42285 50742 84570 126855 205787 253710 411574 617361 1028935 1234722 1852083 2057870 2275451 3086805 3704166 4550902 6173610 6826353 9260415 11377255 13652706 18520830 20479059 22754510 34131765 40958118 68263530 102395295 166107923 204790590 332215846 498323769 830539615 996647538 1494971307 1661079230 2491618845 2989942614 4983237690 6414496369 7474856535 12828992738 14949713070 19243489107 32072481845 38486978214 57730467321 64144963690 96217445535 115460934642 192434891070 288652336605 468258234937 577304673210 936516469874 1404774704811 2341291174685 2809549409622 4214324114433 4682582349370 7023873524055 8428648228866 14047747048110 21071620572165 42143241144330