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4334414344225 = 5272317916093739
BaseRepresentation
bin111111000100101111001…
…110100011000000100001
3120100100212210021112220221
4333010233032203000201
51032003340033003400
613115111422003041
7625102554014530
oct77045716430041
916310783245827
104334414344225
11142123a999069
125a0056716481
1325596c705424
1410db02c9a317
1577b34ab1c1a
hex3f12f3a3021

4334414344225 has 96 divisors (see below), whose sum is σ = 6451087104000. Its totient is φ = 2824550023680.

The previous prime is 4334414344223. The next prime is 4334414344229. The reversal of 4334414344225 is 5224434144334.

It is not a de Polignac number, because 4334414344225 - 21 = 4334414344223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4334414344223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1159242406 + ... + 1159246144.

It is an arithmetic number, because the mean of its divisors is an integer number (67198824000).

Almost surely, 24334414344225 is an apocalyptic number.

It is an amenable number.

4334414344225 is a deficient number, since it is larger than the sum of its proper divisors (2116672759775).

4334414344225 is a wasteful number, since it uses less digits than its factorization.

4334414344225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5567 (or 5562 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 43.

Adding to 4334414344225 its reverse (5224434144334), we get a palindrome (9558848488559).

The spelling of 4334414344225 in words is "four trillion, three hundred thirty-four billion, four hundred fourteen million, three hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 5 7 23 25 35 115 161 175 179 575 805 895 1253 1609 3739 4025 4117 4475 6265 8045 11263 18695 20585 26173 28819 31325 37007 40225 56315 85997 93475 102925 130865 144095 185035 259049 281575 288011 429985 601979 654325 669281 720475 925175 1295245 1440055 2016077 2149925 3009895 3346405 4684967 6016051 6476225 6624253 7200275 10080385 15049475 15393463 16732025 23424835 30080255 33121265 42112357 46369771 50401925 76967315 107754241 117124175 138369173 150401275 165606325 210561785 231848855 384836575 538771205 691845865 968584211 1052808925 1076873129 1159244275 2693856025 3459229325 4842921055 5384365645 7538111903 24214605275 24768081967 26921828225 37690559515 123840409835 173376573769 188452797575 619202049175 866882868845 4334414344225