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42121141332424 = 2371168378476189
BaseRepresentation
bin10011001001111000101111…
…01010101010100111001000
312112010202000202120011112021
421210330113222222213020
521010103044140114144
6225330104000254224
711605103101635010
oct1144742752524710
9175122022504467
1042121141332424
111246a526205a10
124883439011374
131a6701160900b
14a58961accc40
154d0a02e9c884
hex264f17aaa9c8

42121141332424 has 32 divisors (see below), whose sum is σ = 98465005713600. Its totient is φ = 16410834285120.

The previous prime is 42121141332407. The next prime is 42121141332449. The reversal of 42121141332424 is 42423314112124.

42121141332424 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 42121141332424.

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 7 ways as a sum of consecutive naturals, for example, 34189237479 + ... + 34189238710.

It is an arithmetic number, because the mean of its divisors is an integer number (3077031428550).

Almost surely, 242121141332424 is an apocalyptic number.

42121141332424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42121141332424 is an abundant number, since it is smaller than the sum of its proper divisors (56343864381176).

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

42121141332424 is a wasteful number, since it uses less digits than its factorization.

42121141332424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68378476213 (or 68378476209 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

Adding to 42121141332424 its reverse (42423314112124), we get a palindrome (84544455444548).

The spelling of 42121141332424 in words is "forty-two trillion, one hundred twenty-one billion, one hundred forty-one million, three hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 68378476189 136756952378 273513904756 478649333323 547027809512 752163238079 957298666646 1504326476158 1914597333292 3008652952316 3829194666584 5265142666553 6017305904632 10530285333106 21060570666212 42121141332424