Search a number
-
+
141241011035121 = 32169272822932843
BaseRepresentation
bin100000000111010100111100…
…010010100101101111110001
3200112002111201220110002112100
4200013110330102211233301
5122003043042311110441
61220221120312251013
741515216631034144
oct4007247422455761
9615074656402470
10141241011035121
1141004a81646a98
1213a115549a0a69
1360a6c7c67c89a
1426c415c3a405b
15114e00981ecb6
hex80753c4a5bf1

141241011035121 has 24 divisors (see below), whose sum is σ = 204040286311680. Its totient is φ = 94148909146656.

The previous prime is 141241011035077. The next prime is 141241011035129. The reversal of 141241011035121 is 121530110142141.

141241011035121 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 41 + 0 + 1 + 103 + 512 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-141241011035121 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (141241011035129) 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 23 ways as a sum of consecutive naturals, for example, 4300474126 + ... + 4300506968.

It is an arithmetic number, because the mean of its divisors is an integer number (8501678596320).

Almost surely, 2141241011035121 is an apocalyptic number.

It is an amenable number.

141241011035121 is a deficient number, since it is larger than the sum of its proper divisors (62799275276559).

141241011035121 is a wasteful number, since it uses less digits than its factorization.

141241011035121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78005 (or 78002 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 141241011035121 its reverse (121530110142141), we get a palindrome (262771121177262).

The spelling of 141241011035121 in words is "one hundred forty-one trillion, two hundred forty-one billion, eleven million, thirty-five thousand, one hundred twenty-one".

Divisors: 1 3 9 16927 28229 32843 50781 84687 98529 152343 254061 295587 477832283 555933461 927125047 1433496849 1667800383 2781375141 4300490547 5003401149 8344125423 15693445670569 47080337011707 141241011035121