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242125217560161 = 321329431747949937
BaseRepresentation
bin110111000011011000101011…
…100101010111011001100001
31011202021221111201100001100100
4313003120223211113121201
5223213434421143411121
62214542442301413013
7101666653414521435
oct6703305345273141
91152257451301310
10242125217560161
117016a801137511
12231a55a556a169
13a514405228970
1443b0cccc2a9c5
151ced374d1d026
hexdc362b957661

242125217560161 has 96 divisors (see below), whose sum is σ = 398916507749760. Its totient is φ = 140435984812032.

The previous prime is 242125217560141. The next prime is 242125217560189. The reversal of 242125217560161 is 161065712521242.

242125217560161 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 2 + 5 + 21 + 7 + 560 + 1 + 61 = 666.

It is not a de Polignac number, because 242125217560161 - 27 = 242125217560033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242125217560111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254410585 + ... + 255360521.

It is an arithmetic number, because the mean of its divisors is an integer number (4155380289060).

Almost surely, 2242125217560161 is an apocalyptic number.

It is an amenable number.

242125217560161 is a deficient number, since it is larger than the sum of its proper divisors (156791290189599).

242125217560161 is a wasteful number, since it uses less digits than its factorization.

242125217560161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951775 (or 951772 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 242125217560161 in words is "two hundred forty-two trillion, one hundred twenty-five billion, two hundred seventeen million, five hundred sixty thousand, one hundred sixty-one".

Divisors: 1 3 9 13 29 39 43 87 117 129 261 377 387 559 1131 1247 1677 1747 3393 3741 5031 5241 11223 15723 16211 22711 48633 50663 68133 75121 145899 151989 204399 225363 455967 658619 676089 949937 976573 1975857 2178509 2849811 2929719 5927571 6535527 8549433 8789157 12349181 19606581 27548173 28320617 37047543 40847291 82644519 84961851 111142629 122541873 247933557 254885553 358126249 367625619 531014783 1074378747 1184571439 1593044349 1659539939 3223136241 3553714317 4779133047 4978619817 10661142951 14935859451 15399428707 21574019207 46198286121 48126658231 64722057621 71360217377 138594858363 144379974693 194166172863 214080652131 433139924079 625646557003 642241956393 927682825901 1876939671009 2069446303933 2783048477703 5630819013027 6208338911799 8349145433109 18625016735397 26902801951129 80708405853387 242125217560161