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242125135416 = 23331447977419
BaseRepresentation
bin1110000101111111001…
…0000101111000111000
3212010222010011021202000
43201133302011320320
512431333013313131
6303121501541000
723331041456613
oct3413762057070
9763863137660
10242125135416
11937593659aa
123ab13274760
1319aa87502c8
14ba0c9dd17a
1564717dace6
hex385fc85e38

242125135416 has 64 divisors (see below), whose sum is σ = 672624960000. Its totient is φ = 80701761888.

The previous prime is 242125135403. The next prime is 242125135451. The reversal of 242125135416 is 614531521242.

242125135416 is a `hidden beast` number, since 2 + 42 + 1 + 251 + 354 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3088755 + ... + 3166173.

It is an arithmetic number, because the mean of its divisors is an integer number (10509765000).

Almost surely, 2242125135416 is an apocalyptic number.

It is an amenable number.

242125135416 is an abundant number, since it is smaller than the sum of its proper divisors (430499824584).

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

242125135416 is a wasteful number, since it uses less digits than its factorization.

242125135416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91913 (or 91903 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 242125135416 its reverse (614531521242), we get a palindrome (856656656658).

The spelling of 242125135416 in words is "two hundred forty-two billion, one hundred twenty-five million, one hundred thirty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 14479 28958 43437 57916 77419 86874 115832 130311 154838 173748 232257 260622 309676 347496 390933 464514 521244 619352 696771 781866 929028 1042488 1393542 1563732 1858056 2090313 2787084 3127464 4180626 5574168 8361252 16722504 1120949701 2241899402 3362849103 4483798804 6725698206 8967597608 10088547309 13451396412 20177094618 26902792824 30265641927 40354189236 60531283854 80708378472 121062567708 242125135416