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241101240434142 = 2311191709112501897
BaseRepresentation
bin110110110100011111000001…
…110010100111110111011110
31011121200001102222201102100220
4312310133001302213313132
5223100200320022343032
62212440214130102210
7101532663332541054
oct6664370162476736
91147601388642326
10241101240434142
116a9055098019a0
122305b05171a966
13a46b9986123ba
1443775102201d4
151cd18e35d312c
hexdb47c1ca7dde

241101240434142 has 64 divisors (see below), whose sum is σ = 554049347270400. Its totient is φ = 69175165812480.

The previous prime is 241101240434141. The next prime is 241101240434213. The reversal of 241101240434142 is 241434042101142.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241101240434141) 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, 54107863 + ... + 58394034.

It is an arithmetic number, because the mean of its divisors is an integer number (8657021051100).

Almost surely, 2241101240434142 is an apocalyptic number.

241101240434142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

241101240434142 is an abundant number, since it is smaller than the sum of its proper divisors (312948106836258).

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

241101240434142 is a wasteful number, since it uses less digits than its factorization.

241101240434142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112503641.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 241101240434142 its reverse (241434042101142), we get a palindrome (482535282535284).

The spelling of 241101240434142 in words is "two hundred forty-one trillion, one hundred one billion, two hundred forty million, four hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 1709 3418 5127 10254 18799 32471 37598 56397 64942 97413 112794 194826 357181 714362 1071543 2143086 112501897 225003794 337505691 675011382 1237520867 2137536043 2475041734 3712562601 4275072086 6412608129 7425125202 12825216258 23512896473 47025792946 70538689419 141077378838 192265741973 384531483946 576797225919 1153594451838 2114923161703 3653049097487 4229846323406 6344769485109 7306098194974 10959147292461 12689538970218 21918294584922 40183540072357 80367080144714 120550620217071 241101240434142