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134405891712 = 2732193604517
BaseRepresentation
bin111110100101100110…
…1110010011010000000
3110211220222101201211100
41331023031302122000
54200230402013322
6141424544414400
712465463141461
oct1751315623200
9424828351740
10134405891712
1152001692854
1222070317400
13c89c91b451
1467106b8d68
153769a62dac
hex1f4b372680

134405891712 has 96 divisors (see below), whose sum is σ = 388771570980. Its totient is φ = 44569755648.

The previous prime is 134405891701. The next prime is 134405891731. The reversal of 134405891712 is 217198504431.

134405891712 is a `hidden beast` number, since 1 + 3 + 4 + 40 + 589 + 17 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107935903296 + 26469988416 = 328536^2 + 162696^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79923 + ... + 524594.

Almost surely, 2134405891712 is an apocalyptic number.

134405891712 is a gapful number since it is divisible by the number (12) 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 134405891712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194385785490).

134405891712 is an abundant number, since it is smaller than the sum of its proper divisors (254365679268).

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

134405891712 is a wasteful number, since it uses less digits than its factorization.

134405891712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604730 (or 604715 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 134405891712 in words is "one hundred thirty-four billion, four hundred five million, eight hundred ninety-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 193 288 384 386 576 579 772 1152 1158 1544 1737 2316 3088 3474 4632 6176 6948 9264 12352 13896 18528 24704 27792 37056 55584 74112 111168 222336 604517 1209034 1813551 2418068 3627102 4836136 5440653 7254204 9672272 10881306 14508408 19344544 21762612 29016816 38689088 43525224 58033632 77378176 87050448 116067264 116671781 174100896 232134528 233343562 348201792 350015343 466687124 696403584 700030686 933374248 1050046029 1400061372 1866748496 2100092058 2800122744 3733496992 4200184116 5600245488 7466993984 8400368232 11200490976 14933987968 16800736464 22400981952 33601472928 44801963904 67202945856 134405891712