Search a number
-
+
134244243990 = 23258336974861
BaseRepresentation
bin111110100000110010…
…1001001101000010110
3110211111201020011211200
41331001211021220112
54144413011301430
6141400532013330
712461461150353
oct1750145115026
9424451204750
10134244243990
1151a2941549a
1222026161246
13c8752a19cc
1466d703b62a
15375a782460
hex1f41949a16

134244243990 has 96 divisors (see below), whose sum is σ = 353408511456. Its totient is φ = 35350318080.

The previous prime is 134244243989. The next prime is 134244244061. The reversal of 134244243990 is 99342442431.

134244243990 is a `hidden beast` number, since 13 + 4 + 244 + 2 + 4 + 399 + 0 = 666.

It is a super-3 number, since 3×1342442439903 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27614160 + ... + 27619020.

It is an arithmetic number, because the mean of its divisors is an integer number (3681338661).

Almost surely, 2134244243990 is an apocalyptic number.

134244243990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134244243990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176704255728).

134244243990 is an abundant number, since it is smaller than the sum of its proper divisors (219164267466).

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

134244243990 is a wasteful number, since it uses less digits than its factorization.

134244243990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8654 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 134244243990 in words is "one hundred thirty-four billion, two hundred forty-four million, two hundred forty-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 1245 1494 2490 3697 3735 4861 7394 7470 9722 11091 14583 18485 22182 24305 29166 33273 36970 43749 48610 55455 66546 72915 87498 110910 145830 166365 218745 306851 332730 403463 437490 613702 806926 920553 1210389 1534255 1841106 2017315 2420778 2761659 3068510 3631167 4034630 4602765 5523318 6051945 7262334 9205530 12103890 13808295 17971117 18155835 27616590 35942234 36311670 53913351 89855585 107826702 161740053 179711170 269566755 323480106 539133510 808700265 1491602711 1617400530 2983205422 4474808133 7458013555 8949616266 13424424399 14916027110 22374040665 26848848798 44748081330 67122121995 134244243990