Search a number
-
+
42143243142 = 237111314947093
BaseRepresentation
bin100111001111111011…
…101101101110000110
311000210000221120101010
4213033323231232012
51142302132240032
631205455543050
73021230441040
oct471773555606
9130700846333
1042143243142
1116966842370
12820182aa86
133c88101180
14207b0b2a90
151169c41ccc
hex9cfeedb86

42143243142 has 128 divisors (see below), whose sum is σ = 113929804800. Its totient is φ = 10036247040.

The previous prime is 42143243099. The next prime is 42143243147. The reversal of 42143243142 is 24134234124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42143243147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 871348 + ... + 918440.

It is an arithmetic number, because the mean of its divisors is an integer number (890076600).

Almost surely, 242143243142 is an apocalyptic number.

42143243142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42143243142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56964902400).

42143243142 is an abundant number, since it is smaller than the sum of its proper divisors (71786561658).

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

42143243142 is a wasteful number, since it uses less digits than its factorization.

42143243142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47278.

The product of its digits is 18432, while the sum is 30.

Adding to 42143243142 its reverse (24134234124), we get a palindrome (66277477266).

The spelling of 42143243142 in words is "forty-two billion, one hundred forty-three million, two hundred forty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 149 154 182 231 273 286 298 429 447 462 546 858 894 1001 1043 1639 1937 2002 2086 3003 3129 3278 3874 4917 5811 6006 6258 9834 11473 11622 13559 21307 22946 27118 34419 40677 42614 47093 63921 68838 81354 94186 127842 141279 149149 282558 298298 329651 447447 518023 612209 659302 894894 988953 1036046 1224418 1554069 1836627 1977906 3108138 3626161 3673254 4285463 6734299 7016857 7252322 8570926 10878483 12856389 13468598 14033714 20202897 21050571 21756966 25712778 40405794 42101142 47140093 49117999 77185427 91219141 94280186 98235998 141420279 147353997 154370854 182438282 231556281 273657423 282840558 294707994 463112562 540297989 547314846 638533987 1003410551 1080595978 1277067974 1620893967 1915601961 2006821102 3010231653 3241787934 3831203922 6020463306 7023873857 14047747714 21071621571 42143243142