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242153041213413 = 32117636213203147
BaseRepresentation
bin110111000011110010100110…
…000000001011011111100101
31011202101121022210110002020100
4313003302212000023133211
5223214413412022312123
62215003323231054313
7102001660046624151
oct6703624600133745
91152347283402210
10242153041213413
1170180589936a70
12231aaa6b671399
13a516c1a751605
1443b23ac1d4061
151cede5284d643
hexdc3ca600b7e5

242153041213413 has 24 divisors (see below), whose sum is σ = 381575108000736. Its totient is φ = 146759180911200.

The previous prime is 242153041213397. The next prime is 242153041213423. The reversal of 242153041213413 is 314312140351242.

242153041213413 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 5 + 304 + 1 + 2 + 1 + 341 + 3 = 666.

242153041213413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242153041213413 - 24 = 242153041213397 is a prime.

It is a super-2 number, since 2×2421530412134132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242153041213423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73996906 + ... + 77200052.

It is an arithmetic number, because the mean of its divisors is an integer number (15898962833364).

Almost surely, 2242153041213413 is an apocalyptic number.

It is an amenable number.

242153041213413 is a deficient number, since it is larger than the sum of its proper divisors (139422066787323).

242153041213413 is a wasteful number, since it uses less digits than its factorization.

242153041213413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966785 (or 3966782 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 242153041213413 its reverse (314312140351242), we get a palindrome (556465181564655).

The spelling of 242153041213413 in words is "two hundred forty-two trillion, one hundred fifty-three billion, forty-one million, two hundred thirteen thousand, four hundred thirteen".

Divisors: 1 3 9 11 33 99 763621 2290863 3203147 6872589 8399831 9609441 25199493 28828323 35234617 75598479 105703851 317111553 2445990315287 7337970945861 22013912837583 26905893468157 80717680404471 242153041213413