Search a number
-
+
134261804700 = 2232521061140603
BaseRepresentation
bin111110100001010100…
…0001000111010011100
3110211112221021100121100
41331002220020322130
54144432010222300
6141402400233100
712462063336642
oct1750250107234
9424487240540
10134261804700
1151a3831a081
122203000b790
13c878b0ca6a
1466d94cd192
15375c0a0700
hex1f42a08e9c

134261804700 has 108 divisors (see below), whose sum is σ = 421235804808. Its totient is φ = 35769148800.

The previous prime is 134261804681. The next prime is 134261804717. The reversal of 134261804700 is 7408162431.

134261804700 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 6 + 180 + 470 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 884599 + ... + 1025201.

It is an arithmetic number, because the mean of its divisors is an integer number (3900331526).

Almost surely, 2134261804700 is an apocalyptic number.

134261804700 is a gapful number since it is divisible by the number (10) 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 134261804700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210617902404).

134261804700 is an abundant number, since it is smaller than the sum of its proper divisors (286974000108).

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

134261804700 is a wasteful number, since it uses less digits than its factorization.

134261804700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141684 (or 141674 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

It can be divided in two parts, 134261 and 804700, that added together give a square (938961 = 9692).

The spelling of 134261804700 in words is "one hundred thirty-four billion, two hundred sixty-one million, eight hundred four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1061 2122 3183 4244 5305 6366 9549 10610 12732 15915 19098 21220 26525 31830 38196 47745 53050 63660 79575 95490 106100 140603 159150 190980 238725 281206 318300 421809 477450 562412 703015 843618 954900 1265427 1406030 1687236 2109045 2530854 2812060 3515075 4218090 5061708 6327135 7030150 8436180 10545225 12654270 14060300 21090450 25308540 31635675 42180900 63271350 126542700 149179783 298359566 447539349 596719132 745898915 895078698 1342618047 1491797830 1790157396 2237696745 2685236094 2983595660 3729494575 4475393490 5370472188 6713090235 7458989150 8950786980 11188483725 13426180470 14917978300 22376967450 26852360940 33565451175 44753934900 67130902350 134261804700