Search a number
-
+
4042121232340 = 225419295306153
BaseRepresentation
bin111010110100100001001…
…100110011111111010100
3112022102102101020000011101
4322310201030303333110
51012211231013413330
612332531434115444
7565014350401552
oct72644114637724
915272371200141
104042121232340
11131928806a994
1255348227bb84
1323422a491159
14dd8d5522bd2
1570228d004ca
hex3ad21333fd4

4042121232340 has 48 divisors (see below), whose sum is σ = 8704851760080. Its totient is φ = 1575714897920.

The previous prime is 4042121232319. The next prime is 4042121232377. The reversal of 4042121232340 is 432321212404.

It can be written as a sum of positive squares in 8 ways, for example, as 1631883612304 + 2410237620036 = 1277452^2 + 1552494^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4042121232299 and 4042121232308.

It is a congruent number.

It is an unprimeable number.

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, 1891297 + ... + 3414856.

It is an arithmetic number, because the mean of its divisors is an integer number (181351078335).

Almost surely, 24042121232340 is an apocalyptic number.

It is an amenable number.

4042121232340 is an abundant number, since it is smaller than the sum of its proper divisors (4662730527740).

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

4042121232340 is a wasteful number, since it uses less digits than its factorization.

4042121232340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307132 (or 5307130 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4042121232340 its reverse (432321212404), we get a palindrome (4474442444744).

The spelling of 4042121232340 in words is "four trillion, forty-two billion, one hundred twenty-one million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 929 1858 3716 4645 9290 18580 38089 76178 152356 190445 380890 761780 5306153 10612306 21224612 26530765 53061530 106123060 217552273 435104546 870209092 1087761365 2175522730 4351045460 4929416137 9858832274 19717664548 24647080685 49294161370 98588322740 202106061617 404212123234 808424246468 1010530308085 2021060616170 4042121232340