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241416144761121 = 3211101115872083717
BaseRepresentation
bin110110111001000100010011…
…100011010011000100100001
31011122210011021012202201002100
4312321010103203103010201
5223120330231024323441
62213241013522441013
7101564512056261651
oct6671042343230441
91148704235681070
10241416144761121
116aa170150146a0
12230b0096503169
13a4925a21ccba5
1443888649a0361
151cd9bc44a8cb6
hexdb91138d3121

241416144761121 has 48 divisors (see below), whose sum is σ = 384213128015808. Its totient is φ = 144851601456000.

The previous prime is 241416144761107. The next prime is 241416144761123. The reversal of 241416144761121 is 121167441614142.

241416144761121 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 1 + 6 + 1 + 4 + 4 + 7 + 611 + 21 = 666.

It is not a de Polignac number, because 241416144761121 - 210 = 241416144760097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (241416144761123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114816555 + ... + 116900271.

It is an arithmetic number, because the mean of its divisors is an integer number (8004440166996).

Almost surely, 2241416144761121 is an apocalyptic number.

It is an amenable number.

241416144761121 is a deficient number, since it is larger than the sum of its proper divisors (142796983254687).

241416144761121 is a wasteful number, since it uses less digits than its factorization.

241416144761121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095422 (or 2095419 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 241416144761121 in words is "two hundred forty-one trillion, four hundred sixteen billion, one hundred forty-four million, seven hundred sixty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 101 303 909 1111 3333 9999 11587 34761 104283 127457 382371 1147113 1170287 2083717 3510861 6251151 10532583 12873157 18753453 22920887 38619471 68762661 115858413 206287983 210455417 631366251 1894098753 2315009587 6945028761 20835086283 24144028879 72432086637 217296259911 265584317669 796752953007 2390258859021 2438546916779 7315640750337 21946922251011 26824016084569 80472048253707 241416144761121