Search a number
-
+
242332101441 = 32127857247391
BaseRepresentation
bin1110000110110000011…
…1100110101101000001
3212011111112121020202100
43201230013212231001
512432244004221231
6303154213541013
723336133606243
oct3415407465501
9764445536670
10242332101441
1193855176601
123ab70644769
1319b0c5a6201
14ba2c2b6093
156484a6e1e6
hex386c1e6b41

242332101441 has 24 divisors (see below), whose sum is σ = 353204527104. Its totient is φ = 160094975040.

The previous prime is 242332101421. The next prime is 242332101493. The reversal of 242332101441 is 144101233242.

242332101441 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 3 + 210 + 1 + 441 = 666.

It is not a de Polignac number, because 242332101441 - 213 = 242332093249 is a prime.

It is a super-2 number, since 2×2423321014412 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242332101421) 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, 855856 + ... + 1103246.

It is an arithmetic number, because the mean of its divisors is an integer number (14716855296).

Almost surely, 2242332101441 is an apocalyptic number.

It is an amenable number.

242332101441 is a deficient number, since it is larger than the sum of its proper divisors (110872425663).

242332101441 is a wasteful number, since it uses less digits than its factorization.

242332101441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248381 (or 248378 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 242332101441 its reverse (144101233242), we get a palindrome (386433334683).

The spelling of 242332101441 in words is "two hundred forty-two billion, three hundred thirty-two million, one hundred one thousand, four hundred forty-one".

Divisors: 1 3 9 127 381 857 1143 2571 7713 108839 247391 326517 742173 979551 2226519 31418657 94255971 212014087 282767913 636042261 1908126783 26925789049 80777367147 242332101441