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134242066112 = 2671181133589
BaseRepresentation
bin111110100000101110…
…0110101111011000000
3110211111120010112100112
41331001130311323000
54144411432103422
6141400413210452
712461433510020
oct1750134657300
9424446115315
10134242066112
1151a281681a0
1222025490a28
13c8749bb61b
1466d6a31a80
15375a4a1ee2
hex1f41735ec0

134242066112 has 112 divisors (see below), whose sum is σ = 332537775360. Its totient is φ = 52236057600.

The previous prime is 134242066103. The next prime is 134242066117. The reversal of 134242066112 is 211660242431.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (134242066117) 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 15 ways as a sum of consecutive naturals, for example, 3979814 + ... + 4013402.

It is an arithmetic number, because the mean of its divisors is an integer number (2969087280).

Almost surely, 2134242066112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134242066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166268887680).

134242066112 is an abundant number, since it is smaller than the sum of its proper divisors (198295709248).

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

134242066112 is a wasteful number, since it uses less digits than its factorization.

134242066112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34430 (or 34420 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 134242066112 in words is "one hundred thirty-four billion, two hundred forty-two million, sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 811 1232 1622 2464 3244 4928 5677 6488 8921 11354 12976 17842 22708 25952 33589 35684 45416 51904 62447 67178 71368 90832 124894 134356 142736 181664 235123 249788 268712 285472 363328 369479 470246 499576 537424 570944 738958 940492 999152 1074848 1477916 1880984 1998304 2149696 2586353 2955832 3761968 3996608 5172706 5911664 7523936 10345412 11823328 15047872 20690824 23646656 27240679 41381648 54481358 82763296 108962716 165526592 190684753 217925432 299647469 381369506 435850864 599294938 762739012 871701728 1198589876 1525478024 1743403456 2097532283 2397179752 3050956048 4195064566 4794359504 6101912096 8390129132 9588719008 12203824192 16780258264 19177438016 33560516528 67121033056 134242066112