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134404431254541 = 32717367341946413
BaseRepresentation
bin11110100011110101111000…
…011000011001010000001101
3122121212221022220110102011100
4132203311320120121100031
5120104040233400121131
61153504313205213313
740211254046516220
oct3643657030312015
9577787286412140
10134404431254541
1139909665588328
12130a8590101239
1359cc38ba75c56
1425292cddd35b7
15108127aeab7e6
hex7a3d7861940d

134404431254541 has 48 divisors (see below), whose sum is σ = 235565516818944. Its totient is φ = 72087774792192.

The previous prime is 134404431254519. The next prime is 134404431254557. The reversal of 134404431254541 is 145452134404431.

134404431254541 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 0 + 4 + 43 + 12 + 54 + 541 = 666.

It is not a de Polignac number, because 134404431254541 - 222 = 134404427060237 is a prime.

It is a super-2 number, since 2×1344044312545412 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134404431254141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170580150 + ... + 171366263.

It is an arithmetic number, because the mean of its divisors is an integer number (4907614933728).

Almost surely, 2134404431254541 is an apocalyptic number.

It is an amenable number.

134404431254541 is a deficient number, since it is larger than the sum of its proper divisors (101161085564403).

134404431254541 is a wasteful number, since it uses less digits than its factorization.

134404431254541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341946810 (or 341946807 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

Adding to 134404431254541 its reverse (145452134404431), we get a palindrome (279856565658972).

The spelling of 134404431254541 in words is "one hundred thirty-four trillion, four hundred four billion, four hundred thirty-one million, two hundred fifty-four thousand, five hundred forty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 367 1071 1101 2569 3303 6239 7707 18717 23121 43673 56151 131019 393057 341946413 1025839239 2393624891 3077517717 5813089021 7180874673 17439267063 21542624019 40691623147 52317801189 122074869441 125494333571 366224608323 376483000713 878460334997 1129449002139 2133403670707 2635381004991 6400211012121 7906143014973 14933825694949 19200633036363 44801477084847 134404431254541