Search a number
-
+
42140114335452 = 22374311666698321
BaseRepresentation
bin10011001010011100000101…
…00010111011011011011100
312112012120000000121120210010
421211032002202323123130
521010410423232213302
6225342522401443220
711606344213540440
oct1145160242733334
9175176000546703
1042140114335452
1112477581a51a01
124887053040510
131a68a462b3623
14a5984183a820
154d12639a316c
hex2653828bb6dc

42140114335452 has 48 divisors (see below), whose sum is σ = 114986978661632. Its totient is φ = 11760031906560.

The previous prime is 42140114335441. The next prime is 42140114335453. The reversal of 42140114335452 is 25453341104124.

42140114335452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42140114335452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42140114335453) 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 15 ways as a sum of consecutive naturals, for example, 5833345549 + ... + 5833352772.

Almost surely, 242140114335452 is an apocalyptic number.

42140114335452 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42140114335452 is an abundant number, since it is smaller than the sum of its proper divisors (72846864326180).

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

42140114335452 is a wasteful number, since it uses less digits than its factorization.

42140114335452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11666698378 (or 11666698376 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 42140114335452 its reverse (25453341104124), we get a palindrome (67593455439576).

The spelling of 42140114335452 in words is "forty-two trillion, one hundred forty billion, one hundred fourteen million, three hundred thirty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 3612 11666698321 23333396642 35000094963 46666793284 70000189926 81666888247 140000379852 163333776494 245000664741 326667552988 490001329482 501668027803 980002658964 1003336055606 1505004083409 2006672111212 3010008166818 3511676194621 6020016333636 7023352389242 10535028583863 14046704778484 21070057167726 42140114335452