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242344332202401 = 321121380592124127
BaseRepresentation
bin110111000110100100101111…
…110101011001000110100001
31011210001220002012012011120100
4313012210233311121012201
5223231032143020434101
62215231241012533013
7102021541320326412
oct6706445765310641
91153056065164510
10242344332202401
1170244721696300
122321bb56621169
13a52bc84684920
1443bb7577a9809
151d03deb424e86
hexdc692fd591a1

242344332202401 has 72 divisors (see below), whose sum is σ = 414418137486080. Its totient is φ = 135560361879360.

The previous prime is 242344332202337. The next prime is 242344332202447. The reversal of 242344332202401 is 104202233443242.

242344332202401 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 4 + 43 + 3 + 2 + 202 + 401 = 666.

It is not a de Polignac number, because 242344332202401 - 26 = 242344332202337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242344332202451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113029200 + ... + 115153326.

Almost surely, 2242344332202401 is an apocalyptic number.

It is an amenable number.

242344332202401 is a deficient number, since it is larger than the sum of its proper divisors (172073805283679).

242344332202401 is a wasteful number, since it uses less digits than its factorization.

242344332202401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132227 (or 2132213 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 242344332202401 its reverse (104202233443242), we get a palindrome (346546565645643).

The spelling of 242344332202401 in words is "two hundred forty-two trillion, three hundred forty-four billion, three hundred thirty-two million, two hundred two thousand, four hundred one".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 363 429 1089 1287 1573 4719 8059 14157 24177 72531 88649 104767 265947 314301 797841 942903 975139 1152437 2124127 2925417 3457311 6372381 8776251 10371933 12676807 19117143 23365397 27613651 38030421 70096191 82840953 114091263 210288573 248522859 257019367 303750161 771058101 911250483 2313174303 2733751449 3341251771 10023755313 17118339493 30071265939 51355018479 154065055437 188301734423 222538413409 564905203269 667615240227 1694715609807 2002845720681 2071319078653 2447922547499 6213957235959 7343767642497 18641871707877 22031302927491 26927148022489 80781444067467 242344332202401