Search a number
-
+
42002042442042 = 23412292712751253
BaseRepresentation
bin10011000110011010111001…
…10100011101000100111010
312111201100121112222200001010
421203031130310131010322
521001130140331121132
6225155245533534350
711563355524032234
oct1143153464350472
9174640545880033
1042002042442042
1112423a69a70891
12486433b0443b6
131a58a11016407
14a52ca4311254
154cc8821926cc
hex26335cd1d13a

42002042442042 has 64 divisors (see below), whose sum is σ = 86747698920960. Its totient is φ = 13549365849600.

The previous prime is 42002042442037. The next prime is 42002042442047. The reversal of 42002042442042 is 24024424020024.

It is a happy number.

42002042442042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42002042442037) and next prime (42002042442047).

It is not an unprimeable number, because it can be changed into a prime (42002042442047) 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 31 ways as a sum of consecutive naturals, for example, 13890888 + ... + 16642140.

It is an arithmetic number, because the mean of its divisors is an integer number (1355432795640).

Almost surely, 242002042442042 is an apocalyptic number.

42002042442042 is an abundant number, since it is smaller than the sum of its proper divisors (44745656478918).

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

42002042442042 is a wasteful number, since it uses less digits than its factorization.

42002042442042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751799.

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 42002042442042 its reverse (24024424020024), we get a palindrome (66026466462066).

The spelling of 42002042442042 in words is "forty-two trillion, two billion, forty-two million, four hundred forty-two thousand, forty-two".

Divisors: 1 2 3 6 41 82 123 229 246 271 458 542 687 813 1374 1626 9389 11111 18778 22222 28167 33333 56334 62059 66666 124118 186177 372354 2544419 2751253 5088838 5502506 7633257 8253759 15266514 16507518 112801373 225602746 338404119 630036937 676808238 745589563 1260073874 1491179126 1890110811 2236768689 3780221622 4473537378 25831514417 30569172083 51663028834 61138344166 77494543251 91707516249 154989086502 170740009927 183415032498 341480019854 512220029781 1024440059562 7000340407007 14000680814014 21001021221021 42002042442042