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242236303632193 = 13294323364131811
BaseRepresentation
bin110111000101000000001000…
…110101000110011101000001
31011202200120020111101012110111
4313011000020311012131001
5223222244422212212233
62215105453245431321
7102010665264535603
oct6705001065063501
91152616214335414
10242236303632193
1170202926349612
1223203027b6b541
13a521a2973ab30
1443b642a365173
151d011c7449acd
hexdc5008d46741

242236303632193 has 32 divisors (see below), whose sum is σ = 277326477267840. Its totient is φ = 209966519831040.

The previous prime is 242236303632181. The next prime is 242236303632199. The reversal of 242236303632193 is 391236303632242.

It is not a de Polignac number, because 242236303632193 - 233 = 242227713697601 is a prime.

It is a super-3 number, since 3×2422363036321933 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (242236303632199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28288743 + ... + 35843068.

It is an arithmetic number, because the mean of its divisors is an integer number (8666452414620).

Almost surely, 2242236303632193 is an apocalyptic number.

It is an amenable number.

242236303632193 is a deficient number, since it is larger than the sum of its proper divisors (35090173635647).

242236303632193 is a wasteful number, since it uses less digits than its factorization.

242236303632193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64132129.

The product of its (nonzero) digits is 5038848, while the sum is 49.

Adding to 242236303632193 its sum of digits (49), we get a palindrome (242236303632242).

The spelling of 242236303632193 in words is "two hundred forty-two trillion, two hundred thirty-six billion, three hundred three million, six hundred thirty-two thousand, one hundred ninety-three".

Divisors: 1 13 29 43 233 377 559 1247 3029 6757 10019 16211 87841 130247 290551 3777163 64131811 833713543 1859822519 2757667873 14942711963 24177692747 35849682349 79972368317 194255255519 433338646927 642536614409 1039640788121 5633402410051 8352975987317 18633561817861 242236303632193