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241412323214142 = 23237362480965787
BaseRepresentation
bin110110111001000000101111…
…110001010000001100111110
31011122202210101212212000011100
4312321000233301100030332
5223120244414220323032
62213235142405433530
7101564315263541403
oct6671005761201476
91148683355760140
10241412323214142
116aa15433936903
12230ab3aa70b8a6
13a4921135601a2
1443885c12202aa
151cd9a4dc3397c
hexdb902fc5033e

241412323214142 has 24 divisors (see below), whose sum is σ = 537196791297816. Its totient is φ = 78295888609776.

The previous prime is 241412323214131. The next prime is 241412323214173.

241412323214142 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 1 + 2 + 3 + 232 + 1 + 414 + 2 = 666.

241412323214142 is nontrivially palindromic in base 10.

241412323214142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 241412323214097 and 241412323214106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181240482228 + ... + 181240483559.

It is an arithmetic number, because the mean of its divisors is an integer number (22383199637409).

Almost surely, 2241412323214142 is an apocalyptic number.

241412323214142 is an abundant number, since it is smaller than the sum of its proper divisors (295784468083674).

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

241412323214142 is a wasteful number, since it uses less digits than its factorization.

241412323214142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362480965832 (or 362480965829 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 241412323214142 in words is "two hundred forty-one trillion, four hundred twelve billion, three hundred twenty-three million, two hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 362480965787 724961931574 1087442897361 2174885794722 3262328692083 6524657384166 13411795734119 26823591468238 40235387202357 80470774404714 120706161607071 241412323214142