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241134442114311 = 3319538868823499
BaseRepresentation
bin110110110100111101111100…
…110000111110110100000111
31011121210020010212112112021000
4312310331330300332310013
5223101221314140124221
62212503344453224343
7101535250160265324
oct6664757460766407
91147706125475230
10241134442114311
116a9185a7236699
12230655789320b3
13a471b5a0b39b5
144378d7d96db4b
151cd26d833ce26
hexdb4f7cc3ed07

241134442114311 has 32 divisors (see below), whose sum is σ = 383133175200000. Its totient is φ = 149421938294304.

The previous prime is 241134442114297. The next prime is 241134442114331. The reversal of 241134442114311 is 113411244431142.

241134442114311 is a `hidden beast` number, since 2 + 4 + 1 + 1 + 3 + 4 + 4 + 4 + 211 + 431 + 1 = 666.

It is not a de Polignac number, because 241134442114311 - 231 = 241132294630663 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241134442114331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4434384561 + ... + 4434438938.

It is an arithmetic number, because the mean of its divisors is an integer number (11972911725000).

Almost surely, 2241134442114311 is an apocalyptic number.

241134442114311 is a deficient number, since it is larger than the sum of its proper divisors (141998733085689).

241134442114311 is a wasteful number, since it uses less digits than its factorization.

241134442114311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8868823580 (or 8868823574 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

Adding to 241134442114311 its reverse (113411244431142), we get a palindrome (354545686545453).

The spelling of 241134442114311 in words is "two hundred forty-one trillion, one hundred thirty-four billion, four hundred forty-two million, one hundred fourteen thousand, three hundred eleven".

Divisors: 1 3 9 19 27 53 57 159 171 477 513 1007 1431 3021 9063 27189 8868823499 26606470497 79819411491 168507646481 239458234473 470047645447 505522939443 1410142936341 1516568818329 4230428809023 4549706454987 8930905263493 12691286427069 26792715790479 80378147371437 241134442114311