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134205414344505 = 3257556273765899
BaseRepresentation
bin11110100000111100100010…
…000011001000011100111001
3122121011220122002000212120100
4132200330202003020130321
5120042310142033011010
61153233041034150013
740161010163633550
oct3640744203103471
9577156562025510
10134205414344505
1139842218740179
1213075aa9882309
1359b669332311a
14251d8106dad97
15107aecdec82c0
hex7a0f220c8739

134205414344505 has 48 divisors (see below), whose sum is σ = 265855360118400. Its totient is φ = 61350856164864.

The previous prime is 134205414344501. The next prime is 134205414344569. The reversal of 134205414344505 is 505443414502431.

134205414344505 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 0 + 54 + 143 + 4 + 450 + 5 = 666.

It is not a de Polignac number, because 134205414344505 - 22 = 134205414344501 is a prime.

It is a super-2 number, since 2×1342054143445052 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (134205414344501) 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, 174843046 + ... + 175608944.

It is an arithmetic number, because the mean of its divisors is an integer number (5538653335800).

Almost surely, 2134205414344505 is an apocalyptic number.

134205414344505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134205414344505 is a deficient number, since it is larger than the sum of its proper divisors (131649945773895).

134205414344505 is a wasteful number, since it uses less digits than its factorization.

134205414344505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322190 (or 1322187 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 134205414344505 its reverse (505443414502431), we get a palindrome (639648828846936).

The spelling of 134205414344505 in words is "one hundred thirty-four trillion, two hundred five billion, four hundred fourteen million, three hundred forty-four thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 556273 765899 1668819 2297697 2781365 3829495 3893911 5006457 5361293 6893091 8344095 11488485 11681733 16083879 19469555 25032285 26806465 34465455 35045199 48251637 58408665 80419395 175225995 241258185 426048934427 1278146803281 2130244672135 2982342540989 3834440409843 6390734016405 8947027622967 14911712704945 19172202049215 26841082868901 44735138114835 134205414344505