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134012174346 = 232193137341629
BaseRepresentation
bin111110011001110111…
…1111000000000001010
3110210220112112211010200
41330303233320000022
54143424104034341
6141321521553030
712452642454441
oct1746357700012
9423815484120
10134012174346
115191a4190a6
1221b804a5776
13c8391996ab
1466b42abd58
1537451e0db6
hex1f33bf800a

134012174346 has 96 divisors (see below), whose sum is σ = 324029222400. Its totient is φ = 39847489920.

The previous prime is 134012174341. The next prime is 134012174353. The reversal of 134012174346 is 643471210431.

134012174346 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 1 + 217 + 434 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 134012174346.

It is not an unprimeable number, because it can be changed into a prime (134012174341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221460 + ... + 563088.

It is an arithmetic number, because the mean of its divisors is an integer number (3375304400).

Almost surely, 2134012174346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134012174346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162014611200).

134012174346 is an abundant number, since it is smaller than the sum of its proper divisors (190017048054).

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

134012174346 is a wasteful number, since it uses less digits than its factorization.

134012174346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341724 (or 341721 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 134012174346 its reverse (643471210431), we get a palindrome (777483384777).

The spelling of 134012174346 in words is "one hundred thirty-four billion, twelve million, one hundred seventy-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 19 31 37 38 57 62 74 93 111 114 171 186 222 279 333 342 558 589 666 703 1147 1178 1406 1767 2109 2294 3441 3534 4218 5301 6327 6882 10323 10602 12654 20646 21793 43586 65379 130758 196137 341629 392274 683258 1024887 2049774 3074661 6149322 6490951 10590499 12640273 12981902 19472853 21180998 25280546 31771497 37920819 38945706 58418559 63542994 75841638 95314491 113762457 116837118 190628982 201219481 227524914 240165187 391848463 402438962 480330374 603658443 720495561 783696926 1175545389 1207316886 1440991122 1810975329 2161486683 2351090778 3526636167 3621950658 4322973366 7053272334 7445120797 14890241594 22335362391 44670724782 67006087173 134012174346