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242541303145242 = 23101400233173507
BaseRepresentation
bin110111001001011100001100…
…001101111010001100011010
31011210202201111102202210210120
4313021130030031322030122
5223242244042101121432
62215501534135454110
7102042013410610113
oct6711341415721432
91153681442683716
10242541303145242
117031020964aa82
1223252167827336
13a54471528778a
1443c70c147d20a
151d090c89b5c2c
hexdc970c37a31a

242541303145242 has 16 divisors (see below), whose sum is σ = 489885404373792. Its totient is φ = 80046634701200.

The previous prime is 242541303145213. The next prime is 242541303145259.

242541303145242 is nontrivially palindromic in base 10.

242541303145242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 242541303145194 and 242541303145203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200116586148 + ... + 200116587359.

It is an arithmetic number, because the mean of its divisors is an integer number (30617837773362).

Almost surely, 2242541303145242 is an apocalyptic number.

242541303145242 is an abundant number, since it is smaller than the sum of its proper divisors (247344101228550).

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

242541303145242 is a wasteful number, since it uses less digits than its factorization.

242541303145242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400233173613.

The product of its (nonzero) digits is 921600, while the sum is 42.

It can be divided in two parts, 24254130 and 3145242, that added together give a palindrome (27399372).

The spelling of 242541303145242 in words is "two hundred forty-two trillion, five hundred forty-one billion, three hundred three million, one hundred forty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 101 202 303 606 400233173507 800466347014 1200699520521 2401399041042 40423550524207 80847101048414 121270651572621 242541303145242