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134213404214133 = 322912738891041151
BaseRepresentation
bin11110100001000011111110…
…010010000100001101110101
3122121012200020220101022012200
4132201003332102010031311
5120042423022434323013
61153240441532535113
740161412162462236
oct3641037622041565
9577180226338180
10134213404214133
1139845648819512
1213077559621499
1359b736772a22a
14251dd6b8c908d
15107b2ea671e73
hex7a10fe484375

134213404214133 has 48 divisors (see below), whose sum is σ = 202180057497600. Its totient is φ = 85687877721600.

The previous prime is 134213404214117. The next prime is 134213404214137. The reversal of 134213404214133 is 331412404312431.

134213404214133 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 1 + 3 + 404 + 214 + 1 + 33 = 666.

It is not a de Polignac number, because 134213404214133 - 24 = 134213404214117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134213404214137) 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, 128388108 + ... + 129429258.

It is an arithmetic number, because the mean of its divisors is an integer number (4212084531200).

Almost surely, 2134213404214133 is an apocalyptic number.

It is an amenable number.

134213404214133 is a deficient number, since it is larger than the sum of its proper divisors (67966653283467).

134213404214133 is a wasteful number, since it uses less digits than its factorization.

134213404214133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045202 (or 1045199 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 134213404214133 its reverse (331412404312431), we get a palindrome (465625808526564).

The spelling of 134213404214133 in words is "one hundred thirty-four trillion, two hundred thirteen billion, four hundred four million, two hundred fourteen thousand, one hundred thirty-three".

Divisors: 1 3 9 29 87 127 261 381 1143 3683 3889 11049 11667 33147 35001 112781 338343 493903 1015029 1041151 1481709 3123453 4445127 9370359 14323187 30193379 42969561 90580137 128908683 132226177 271740411 396678531 1190035593 3834559133 4049036239 11503677399 12147108717 34511032197 36441326151 117422050931 352266152793 514227602353 1056798458379 1542682807059 4628048421177 14912600468237 44737801404711 134213404214133