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134212320144 = 2434714794127
BaseRepresentation
bin111110011111110101…
…1010111101110010000
3110211102111011021120000
41330333223113232100
54144331323221034
6141353431450000
712460622620050
oct1747753275620
9424374137500
10134212320144
1151a123a0651
1222017526900
13c86b7a5166
1466d2acb560
153757a78599
hex1f3fad7b90

134212320144 has 100 divisors (see below), whose sum is σ = 443942193024. Its totient is φ = 38346374592.

The previous prime is 134212320083. The next prime is 134212320163. The reversal of 134212320144 is 441023212431.

134212320144 is a `hidden beast` number, since 1 + 3 + 421 + 232 + 0 + 1 + 4 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7387992 + ... + 7406135.

Almost surely, 2134212320144 is an apocalyptic number.

134212320144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

134212320144 is an abundant number, since it is smaller than the sum of its proper divisors (309729872880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134212320144 is a wasteful number, since it uses less digits than its factorization.

134212320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14794154 (or 14794139 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 134212320144 its reverse (441023212431), we get a palindrome (575235532575).

The spelling of 134212320144 in words is "one hundred thirty-four billion, two hundred twelve million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 14794127 29588254 44382381 59176508 88764762 103558889 118353016 133147143 177529524 207117778 236706032 266294286 310676667 355059048 399441429 414235556 532588572 621353334 710118096 798882858 828471112 932030001 1065177144 1198324287 1242706668 1597765716 1656942224 1864060002 2130354288 2396648574 2485413336 2796090003 3195531432 3728120004 4793297148 4970826672 5592180006 6391062864 7456240008 8388270009 9586594296 11184360012 14912480016 16776540018 19173188592 22368720024 33553080036 44737440048 67106160072 134212320144