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42032314404141 = 33141107103022651
BaseRepresentation
bin10011000111010011010010…
…01010110100110100101101
312111211020202021000200021120
421203221221022310310231
521002124134441413031
6225221213443051153
711565506635333425
oct1143515112646455
9174736667020246
1042032314404141
1112435893778a86
12486a189070ab9
131a5b826840419
14a54536911485
154cd554adca96
hex263a692b4d2d

42032314404141 has 32 divisors (see below), whose sum is σ = 59815775932416. Its totient is φ = 26208962160000.

The previous prime is 42032314404139. The next prime is 42032314404209. The reversal of 42032314404141 is 14140441323024.

It is a happy number.

42032314404141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42032314404141 - 21 = 42032314404139 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42032314404341) 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, 51103335 + ... + 51919316.

It is an arithmetic number, because the mean of its divisors is an integer number (1869242997888).

Almost surely, 242032314404141 is an apocalyptic number.

42032314404141 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42032314404141 is a deficient number, since it is larger than the sum of its proper divisors (17783461528275).

42032314404141 is a wasteful number, since it uses less digits than its factorization.

42032314404141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103022833.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 42032314404141 its reverse (14140441323024), we get a palindrome (56172755727165).

The spelling of 42032314404141 in words is "forty-two trillion, thirty-two billion, three hundred fourteen million, four hundred four thousand, one hundred forty-one".

Divisors: 1 3 31 41 93 107 123 321 1271 3317 3813 4387 9951 13161 135997 407991 103022651 309067953 3193702181 4223928691 9581106543 11023423657 12671786073 33070270971 130941789421 341726133367 392825368263 451960369937 1025178400101 1355881109811 14010771468047 42032314404141