Search a number
-
+
141042351252231 = 3211133147591274851
BaseRepresentation
bin100000000100011011111011…
…001111101010001100000111
3200111101111221222000111021200
4200010123323033222030013
5121441314213410032411
61215545543415513543
741464654642531512
oct4004337317521407
9614344858014250
10141042351252231
1140a387a8351840
121399ab520888b3
13609130cc09cb0
1426b86b42b1d79
151148c7dd81e56
hex8046fb3ea307

141042351252231 has 192 divisors, whose sum is σ = 256598946938880. Its totient is φ = 73468075680000.

The previous prime is 141042351252197. The next prime is 141042351252251. The reversal of 141042351252231 is 132252153240141.

141042351252231 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 423 + 5 + 1 + 2 + 5 + 223 + 1 = 666.

It is not a de Polignac number, because 141042351252231 - 29 = 141042351251719 is a prime.

It is a super-2 number, since 2×1410423512522312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141042351252251) 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 191 ways as a sum of consecutive naturals, for example, 109996956 + ... + 111271806.

It is an arithmetic number, because the mean of its divisors is an integer number (1336452848640).

Almost surely, 2141042351252231 is an apocalyptic number.

141042351252231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

141042351252231 is a deficient number, since it is larger than the sum of its proper divisors (115556595686649).

141042351252231 is a wasteful number, since it uses less digits than its factorization.

141042351252231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275018 (or 1275015 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 141042351252231 in words is "one hundred forty-one trillion, forty-two billion, three hundred fifty-one million, two hundred fifty-two thousand, two hundred thirty-one".