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134407104741 = 327131032277019
BaseRepresentation
bin111110100101101001…
…0011010100011100101
3110211221001200100210100
41331023102122203211
54200231204322431
6141425030414313
712465506353140
oct1751322324345
9424831610710
10134407104741
1152002341158
1222070801399
13c89cc54610
146710913057
153769c024e6
hex1f4b49a8e5

134407104741 has 96 divisors (see below), whose sum is σ = 242363197440. Its totient is φ = 69888500352.

The previous prime is 134407104661. The next prime is 134407104763. The reversal of 134407104741 is 147401704431.

134407104741 is a `hidden beast` number, since 134 + 40 + 7 + 10 + 474 + 1 = 666.

It is not a de Polignac number, because 134407104741 - 230 = 133333362917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 134407104696 and 134407104705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134407104341) 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, 19145530 + ... + 19152548.

It is an arithmetic number, because the mean of its divisors is an integer number (2524616640).

Almost surely, 2134407104741 is an apocalyptic number.

It is an amenable number.

134407104741 is a deficient number, since it is larger than the sum of its proper divisors (107956092699).

134407104741 is a wasteful number, since it uses less digits than its factorization.

134407104741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7375 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 134407104741 in words is "one hundred thirty-four billion, four hundred seven million, one hundred four thousand, seven hundred forty-one".

Divisors: 1 3 7 9 13 21 39 63 91 103 117 227 273 309 681 721 819 927 1339 1589 2043 2163 2951 4017 4767 6489 7019 8853 9373 12051 14301 20657 21057 23381 26559 28119 49133 61971 63171 70143 84357 91247 147399 163667 185913 210429 273741 303953 442197 491001 638729 722957 821223 911859 1473003 1593313 1916187 2127671 2168871 2735577 4779939 5060699 5748561 6383013 6506613 9398441 11153191 14339817 15182097 19149039 20713069 28195323 33459573 45546291 62139207 65789087 84585969 100378719 144991483 164111239 186417621 197367261 434974449 492333717 592101783 1148778673 1304923347 1477001151 2133446107 3446336019 6400338321 10339008057 14934122749 19201014963 44802368247 134407104741