Search a number
-
+
134593340112 = 243271112138649
BaseRepresentation
bin111110101011001100…
…0110110001011010000
3110212102001010002200200
41331112120312023100
54201121343340422
6141455322215200
712503230341330
oct1752630661320
9425361102620
10134593340112
1152098482590
1222103054500
13c8cc6cc66a
14672b5510c0
15377b23d2ac
hex1f566362d0

134593340112 has 120 divisors (see below), whose sum is σ = 469620091200. Its totient is φ = 34959306240.

The previous prime is 134593340107. The next prime is 134593340131. The reversal of 134593340112 is 211043395431.

134593340112 is a `hidden beast` number, since 1 + 34 + 593 + 34 + 0 + 1 + 1 + 2 = 666.

It is a super-3 number, since 3×1345933401123 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6058237 + ... + 6080412.

It is an arithmetic number, because the mean of its divisors is an integer number (3913500760).

Almost surely, 2134593340112 is an apocalyptic number.

134593340112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134593340112 is an abundant number, since it is smaller than the sum of its proper divisors (335026751088).

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

134593340112 is a wasteful number, since it uses less digits than its factorization.

134593340112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12138681 (or 12138672 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 134593340112 in words is "one hundred thirty-four billion, five hundred ninety-three million, three hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 12138649 24277298 36415947 48554596 72831894 84970543 97109192 109247841 133525139 145663788 169941086 194218384 218495682 254911629 267050278 291327576 339882172 400575417 436991364 509823258 534100556 582655152 679764344 764734887 801150834 873982728 934675973 1019646516 1068201112 1201726251 1359528688 1529469774 1602301668 1747965456 1869351946 2039293032 2136402224 2403452502 2804027919 3058939548 3204603336 3738703892 4078586064 4806905004 5608055838 6117879096 6409206672 7477407784 8412083757 9613810008 11216111676 12235758192 14954815568 16824167514 19227620016 22432223352 33648335028 44864446704 67296670056 134593340112