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42342120204413 = 2971353407314303
BaseRepresentation
bin10011010000010100010110…
…00010001010100001111101
312112220212102011021222012112
421220022023002022201331
521022213130233020123
6230015411304343405
711630055132232061
oct1150121302124175
9175825364258175
1042342120204413
1112545212aa9147
1248ba22a474b65
131a81aca0532c3
14a655260a3aa1
154d6638098d78
hex26828b08a87d

42342120204413 has 32 divisors (see below), whose sum is σ = 44559010621440. Its totient is φ = 40179384340480.

The previous prime is 42342120204317. The next prime is 42342120204427. The reversal of 42342120204413 is 31440202124324.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 42342120204413 - 232 = 42337825237117 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42342120204413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42342120204463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2960359220 + ... + 2960373522.

It is an arithmetic number, because the mean of its divisors is an integer number (1392469081920).

Almost surely, 242342120204413 is an apocalyptic number.

It is an amenable number.

42342120204413 is a deficient number, since it is larger than the sum of its proper divisors (2216890417027).

42342120204413 is a wasteful number, since it uses less digits than its factorization.

42342120204413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18829.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 42342120204413 its reverse (31440202124324), we get a palindrome (73782322328737).

The spelling of 42342120204413 in words is "forty-two trillion, three hundred forty-two billion, one hundred twenty million, two hundred four thousand, four hundred thirteen".

Divisors: 1 29 71 353 2059 4073 10237 14303 25063 118117 289183 414787 726827 1015513 1437769 5048959 8386307 29449877 41695301 58256119 102081599 146419811 358476089 1689427451 2960366371 4136184449 10395806581 20564410007 119949349021 596367890203 1460073110497 42342120204413