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224112414141 = 33711107798179
BaseRepresentation
bin1101000010111000100…
…1000000110110111101
3210102110210001020102000
43100232021000312331
512132440234223031
6250542242452513
722122500042340
oct3205611006675
9712423036360
10224112414141
11870556848a0
1237526964139
13181979b7655
14abc0620457
155c6a26d3e6
hex342e240dbd

224112414141 has 32 divisors (see below), whose sum is σ = 413945011200. Its totient is φ = 116422032240.

The previous prime is 224112414121. The next prime is 224112414193. The reversal of 224112414141 is 141414211422.

224112414141 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 1 + 241 + 414 + 1 = 666.

It is not a de Polignac number, because 224112414141 - 213 = 224112405949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224112414121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53897011 + ... + 53901168.

It is an arithmetic number, because the mean of its divisors is an integer number (12935781600).

Almost surely, 2224112414141 is an apocalyptic number.

224112414141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

224112414141 is a deficient number, since it is larger than the sum of its proper divisors (189832597059).

224112414141 is a wasteful number, since it uses less digits than its factorization.

224112414141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107798206 (or 107798200 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

Adding to 224112414141 its reverse (141414211422), we get a palindrome (365526625563).

The spelling of 224112414141 in words is "two hundred twenty-four billion, one hundred twelve million, four hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 107798179 323394537 754587253 970183611 1185779969 2263761759 2910550833 3557339907 6791285277 8300459783 10672019721 20373855831 24901379349 32016059163 74704138047 224112414141