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242005013345 = 5461541194069
BaseRepresentation
bin1110000101100010011…
…1110111001101100001
3212010122202010110020102
43201120213313031201
512431111240411340
6303101531152145
723325052446524
oct3413047671541
9763582113212
10242005013345
11936a7580467
123aa9aba5655
1319a898b2964
14b9daa90bbb
156465eae215
hex38589f7361

242005013345 has 16 divisors (see below), whose sum is σ = 291575425680. Its totient is φ = 192825964800.

The previous prime is 242005013309. The next prime is 242005013347. The reversal of 242005013345 is 543310500242.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 77682608656 + 164322404689 = 278716^2 + 405367^2 .

It is not a de Polignac number, because 242005013345 - 26 = 242005013281 is a prime.

It is a super-2 number, since 2×2420050133452 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242005013347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1149971 + ... + 1344039.

It is an arithmetic number, because the mean of its divisors is an integer number (18223464105).

Almost surely, 2242005013345 is an apocalyptic number.

It is an amenable number.

242005013345 is a deficient number, since it is larger than the sum of its proper divisors (49570412335).

242005013345 is a wasteful number, since it uses less digits than its factorization.

242005013345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195076.

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 242005013345 its reverse (543310500242), we get a palindrome (785315513587).

The spelling of 242005013345 in words is "two hundred forty-two billion, five million, thirteen thousand, three hundred forty-five".

Divisors: 1 5 461 541 2305 2705 194069 249401 970345 1247005 89465809 104991329 447329045 524956645 48401002669 242005013345