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242000312245445 = 51319493929486193
BaseRepresentation
bin110111000001100100010110…
…101001011001110011000101
31011201212000002211221122002002
4313001210112221121303011
5223204413114413323240
62214405224135155045
7101654642223050105
oct6701442651316305
91151760084848062
10242000312245445
1170121835366896
1223185346b15a85
13a5056ba9b5410
1443a8c4022d205
151ce9eb43b5d15
hexdc1916a59cc5

242000312245445 has 32 divisors (see below), whose sum is σ = 312979608396000. Its totient is φ = 178570402504704.

The previous prime is 242000312245411. The next prime is 242000312245457. The reversal of 242000312245445 is 544542213000242.

It can be written as a sum of positive squares in 16 ways, for example, as 112758361263076 + 129241950982369 = 10618774^2 + 11368463^2 .

It is a cyclic number.

It is not a de Polignac number, because 242000312245445 - 230 = 241999238503621 is a prime.

It is a super-2 number, since 2×2420003122454452 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242000312245399 and 242000312245408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497502269 + ... + 497988461.

It is an arithmetic number, because the mean of its divisors is an integer number (9780612762375).

Almost surely, 2242000312245445 is an apocalyptic number.

It is an amenable number.

242000312245445 is a deficient number, since it is larger than the sum of its proper divisors (70979296150555).

242000312245445 is a wasteful number, since it uses less digits than its factorization.

242000312245445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492089.

The product of its (nonzero) digits is 307200, while the sum is 38.

Adding to 242000312245445 its reverse (544542213000242), we get a palindrome (786542525245687).

The spelling of 242000312245445 in words is "two hundred forty-two trillion, three hundred twelve million, two hundred forty-five thousand, four hundred forty-five".

Divisors: 1 5 13 65 1949 3929 9745 19645 25337 51077 126685 255385 486193 2430965 6320509 7657621 31602545 38288105 99549073 497745365 947590157 1910252297 4737950785 9551261485 12318672041 24833279861 61593360205 124166399305 3723081726853 18615408634265 48400062449089 242000312245445