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242513444315242 = 217101207193408527
BaseRepresentation
bin110111001001000010001111…
…101100111010000001101010
31011210200001120220110121111001
4313021002033230322001222
5223241320013221041432
62215441045512225214
7102040006140505312
oct6711021754720152
91153601526417431
10242513444315242
11702aa413004731
122324889199b20a
13a541bc5696799
1443c59db55a442
151d084e7d379e7
hexdc908fb3a06a

242513444315242 has 32 divisors (see below), whose sum is σ = 389000848481280. Its totient is φ = 112988546668800.

The previous prime is 242513444315237. The next prime is 242513444315257.

242513444315242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242513444315192 and 242513444315201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69444783 + ... + 72853309.

It is an arithmetic number, because the mean of its divisors is an integer number (12156276515040).

Almost surely, 2242513444315242 is an apocalyptic number.

242513444315242 is a deficient number, since it is larger than the sum of its proper divisors (146487404166038).

242513444315242 is a wasteful number, since it uses less digits than its factorization.

242513444315242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429366.

The product of its digits is 3686400, while the sum is 46.

The spelling of 242513444315242 in words is "two hundred forty-two trillion, five hundred thirteen billion, four hundred forty-four million, three hundred fifteen thousand, two hundred forty-two".

Divisors: 1 2 17 34 101 202 1717 3434 20719 41438 352223 704446 2092619 3408527 4185238 6817054 35574523 57944959 71149046 115889918 344261227 688522454 5852440859 11704881718 70621270913 141242541826 1200561605521 2401123211042 7132748362213 14265496724426 121256722157621 242513444315242