Search a number
-
+
134443122300 = 223352371345777
BaseRepresentation
bin111110100110101101…
…1110011111001111100
3110212000120110020121000
41331031123303321330
54200314414403200
6141432354410300
712466424453454
oct1751533637174
9425016406530
10134443122300
1152020701733
1222080890990
13c8a7555596
14671560ad64
15376ce69300
hex1f4d6f3e7c

134443122300 has 144 divisors (see below), whose sum is σ = 443891415520. Its totient is φ = 34882513920.

The previous prime is 134443122299. The next prime is 134443122329. The reversal of 134443122300 is 3221344431.

134443122300 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 431 + 223 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 572989 + ... + 772788.

Almost surely, 2134443122300 is an apocalyptic number.

134443122300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134443122300 is an abundant number, since it is smaller than the sum of its proper divisors (309448293220).

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

134443122300 is a wasteful number, since it uses less digits than its factorization.

134443122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345837 (or 1345824 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 134443122300 its reverse (3221344431), we get a palindrome (137664466731).

The spelling of 134443122300 in words is "one hundred thirty-four billion, four hundred forty-three million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 37 45 50 54 60 74 75 90 100 108 111 135 148 150 180 185 222 225 270 300 333 370 444 450 540 555 666 675 740 900 925 999 1110 1332 1350 1665 1850 1998 2220 2700 2775 3330 3700 3996 4995 5550 6660 8325 9990 11100 16650 19980 24975 33300 49950 99900 1345777 2691554 4037331 5383108 6728885 8074662 12111993 13457770 16149324 20186655 24223986 26915540 33644425 36335979 40373310 48447972 49793749 60559965 67288850 72671958 80746620 99587498 100933275 121119930 134577700 145343916 149381247 181679895 199174996 201866550 242239860 248968745 298762494 302799825 363359790 403733100 448143741 497937490 597524988 605599650 726719580 746906235 896287482 908399475 995874980 1211199300 1244843725 1344431223 1493812470 1792574964 1816798950 2240718705 2489687450 2688862446 2987624940 3633597900 3734531175 4481437410 4979374900 5377724892 6722156115 7469062350 8962874820 11203593525 13444312230 14938124700 22407187050 26888624460 33610780575 44814374100 67221561150 134443122300