Search a number
-
+
42124124022132 = 223371075813152533
BaseRepresentation
bin10011001001111110010010…
…11100101110010101110100
312112011000201122000111121110
421210333021130232111310
521010130201222202012
6225331315545515020
711605240030243245
oct1144771134562564
9175130648014543
1042124124022132
1112470816922929
124883b2baa2a70
131a6739853c479
14a58b65caaccc
154d0b29c7273c
hex264fc972e574

42124124022132 has 96 divisors (see below), whose sum is σ = 101907716464512. Its totient is φ = 13531779979776.

The previous prime is 42124124022119. The next prime is 42124124022161. The reversal of 42124124022132 is 23122042142124.

It is a self number, because there is not a number n which added to its sum of digits gives 42124124022132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276087738 + ... + 276240270.

It is an arithmetic number, because the mean of its divisors is an integer number (1061538713172).

Almost surely, 242124124022132 is an apocalyptic number.

It is an amenable number.

42124124022132 is an abundant number, since it is smaller than the sum of its proper divisors (59783592442380).

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

42124124022132 is a wasteful number, since it uses less digits than its factorization.

42124124022132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158497 (or 158495 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 42124124022132 its reverse (23122042142124), we get a palindrome (65246166164256).

The spelling of 42124124022132 in words is "forty-two trillion, one hundred twenty-four billion, one hundred twenty-four million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 107 111 148 214 222 321 428 444 642 1284 3959 5813 7918 11626 11877 15836 17439 23252 23754 34878 47508 69756 152533 215081 305066 430162 457599 610132 621991 645243 860324 915198 1243982 1290486 1830396 1865973 2487964 2580972 3731946 5643721 7463892 11287442 16321031 16931163 22574884 23013667 32642062 33862326 46027334 48963093 65284124 67724652 69041001 92054668 97926186 138082002 195852372 276164004 603878147 886674329 1207756294 1773348658 1811634441 2415512588 2660022987 3546697316 3623268882 5320045974 7246537764 10640091948 32806950173 65613900346 94874153203 98420850519 131227800692 189748306406 196841701038 284622459609 379496612812 393683402076 569244919218 1138489838436 3510343668511 7020687337022 10531031005533 14041374674044 21062062011066 42124124022132