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134213213340 = 223255334494079
BaseRepresentation
bin111110011111110111…
…0110001110010011100
3110211102112211122210100
41330333232301302130
54144332040311330
6141353502541100
712460633330113
oct1747756616234
9424375748710
10134213213340
1151a12950728
1222017897790
13c86ba2888b
1466d2c80c7a
153757ba3060
hex1f3fbb1c9c

134213213340 has 144 divisors (see below), whose sum is σ = 415016784000. Its totient is φ = 35096116224.

The previous prime is 134213213339. The next prime is 134213213357. The reversal of 134213213340 is 43312312431.

It is a happy number.

134213213340 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 1 + 321 + 334 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32901421 + ... + 32905499.

It is an arithmetic number, because the mean of its divisors is an integer number (2882061000).

Almost surely, 2134213213340 is an apocalyptic number.

134213213340 is a gapful number since it is divisible by the number (10) 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 134213213340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207508392000).

134213213340 is an abundant number, since it is smaller than the sum of its proper divisors (280803570660).

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

134213213340 is a wasteful number, since it uses less digits than its factorization.

134213213340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7596 (or 7591 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 134213213340 its reverse (43312312431), we get a palindrome (177525525771).

Subtracting from 134213213340 its reverse (43312312431), we obtain a palindrome (90900900909).

The spelling of 134213213340 in words is "one hundred thirty-four billion, two hundred thirteen million, two hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 3449 4079 4770 6898 8158 9540 10347 12237 13796 16316 17245 20395 20694 24474 31041 34490 36711 40790 41388 48948 51735 61185 62082 68980 73422 81580 103470 122370 124164 146844 155205 182797 183555 206940 216187 244740 310410 365594 367110 432374 548391 620820 648561 731188 734220 864748 913985 1080935 1096782 1297122 1645173 1827970 1945683 2161870 2193564 2594244 2741955 3242805 3290346 3655940 3891366 4323740 5483910 6485610 6580692 7782732 8225865 9728415 10967820 12971220 14068471 16451730 19456830 28136942 32903460 38913660 42205413 56273884 70342355 84410826 126616239 140684710 168821652 211027065 253232478 281369420 422054130 506464956 633081195 745628963 844108260 1266162390 1491257926 2236886889 2532324780 2982515852 3728144815 4473773778 6710660667 7456289630 8947547556 11184434445 13421321334 14912579260 22368868890 26842642668 33553303335 44737737780 67106606670 134213213340