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134213210404 = 22713612197503
BaseRepresentation
bin111110011111110111…
…0110001000100100100
3110211102112211111202121
41330333232301010210
54144332040213104
6141353502515324
712460633315420
oct1747756610444
9424375744677
10134213210404
1151a129494a9
1222017895b44
13c86ba27440
1466d2c7db80
153757ba2254
hex1f3fbb1124

134213210404 has 144 divisors (see below), whose sum is σ = 295970298624. Its totient is φ = 51856519680.

The previous prime is 134213210389. The next prime is 134213210407. The reversal of 134213210404 is 404012312431.

It is not an unprimeable number, because it can be changed into a prime (134213210407) 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, 266825217 + ... + 266825719.

It is an arithmetic number, because the mean of its divisors is an integer number (2055349296).

Almost surely, 2134213210404 is an apocalyptic number.

134213210404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134213210404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147985149312).

134213210404 is an abundant number, since it is smaller than the sum of its proper divisors (161757088220).

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

134213210404 is a wasteful number, since it uses less digits than its factorization.

134213210404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 134213210404 its reverse (404012312431), we get a palindrome (538225522835).

The spelling of 134213210404 in words is "one hundred thirty-four billion, two hundred thirteen million, two hundred ten thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 61 91 122 182 197 244 364 394 427 503 788 793 854 1006 1379 1586 1708 2012 2561 2758 3172 3521 3721 5122 5516 5551 6539 7042 7442 10244 11102 12017 13078 14084 14884 17927 22204 24034 26047 26156 30683 35854 45773 48068 48373 52094 61366 71708 84119 91546 96746 99091 104188 122732 156221 168238 183092 193492 198182 214781 312442 336476 338611 396364 398879 429562 624884 677222 693637 733037 797758 859124 1093547 1288183 1354444 1387274 1466074 1595516 1871663 2187094 2576366 2774548 2792153 2932148 3743326 4374188 5131259 5152732 5584306 6044551 7486652 9017281 9529481 10262518 11168612 12089102 13101641 18034562 19058962 20525036 24178204 24331619 26203282 36069124 38117924 42311857 48663238 52406564 66706367 78579163 84623714 97326476 133412734 157158326 169247428 170321333 266825468 314316652 340642666 368717611 550054141 681285332 737435222 1100108282 1474870444 2200216564 2581023277 4793328943 5162046554 9586657886 10324093108 19173315772 33553302601 67106605202 134213210404