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34022444114421 = 32723101232474729
BaseRepresentation
bin1111011110001011101111…
…01100100010000111110101
311110110111212121221121100100
413233011313230202013311
513424410431143130141
6200205410044304313
710111016611255260
oct757056754420765
9143414777847310
1034022444114421
11a927923815014
12399593b842099
1315ca3c20a5759
148589a3435cd7
153e000638c0b6
hex1ef177b221f5

34022444114421 has 48 divisors (see below), whose sum is σ = 59186206460160. Its totient is φ = 18411998457600.

The previous prime is 34022444114413. The next prime is 34022444114431. The reversal of 34022444114421 is 12441144422043.

34022444114421 is a `hidden beast` number, since 3 + 4 + 0 + 224 + 4 + 4 + 1 + 1 + 4 + 421 = 666.

It is not a de Polignac number, because 34022444114421 - 23 = 34022444114413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34022444114431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116091016 + ... + 116383713.

It is an arithmetic number, because the mean of its divisors is an integer number (1233045967920).

Almost surely, 234022444114421 is an apocalyptic number.

It is an amenable number.

34022444114421 is a deficient number, since it is larger than the sum of its proper divisors (25163762345739).

34022444114421 is a wasteful number, since it uses less digits than its factorization.

34022444114421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232474866 (or 232474863 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 34022444114421 its reverse (12441144422043), we get a palindrome (46463588536464).

The spelling of 34022444114421 in words is "thirty-four trillion, twenty-two billion, four hundred forty-four million, one hundred fourteen thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 23 63 69 101 161 207 303 483 707 909 1449 2121 2323 6363 6969 16261 20907 48783 146349 232474729 697424187 1627323103 2092272561 4881969309 5346918767 14645907927 16040756301 23479947629 37428431369 48122268903 70439842887 112285294107 164359633403 211319528661 336855882321 493078900209 540038795467 1479236700627 1620116386401 3780271568269 4860349159203 11340814704807 34022444114421