Search a number
-
+
11443113430200 = 2332526586796517
BaseRepresentation
bin1010011010000100111010…
…1101100000110010111000
31111111221200020202020010100
42212201032231200302320
52444440444014231300
640200521014115400
72260511006200164
oct246411655406270
944457606666110
1011443113430200
113711aa7234561
12134990364bb60
13650108b6292a
142b7bc75d7ca4
1514c9dd087700
hexa684eb60cb8

11443113430200 has 144 divisors (see below), whose sum is σ = 38430770887080. Its totient is φ = 3051418970880.

The previous prime is 11443113430169. The next prime is 11443113430237. The reversal of 11443113430200 is 203431134411.

11443113430200 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 311 + 343 + 0 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×114431134302002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118512342 + ... + 118608858.

Almost surely, 211443113430200 is an apocalyptic number.

11443113430200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11443113430200 is an abundant number, since it is smaller than the sum of its proper divisors (26987657456880).

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

11443113430200 is a wasteful number, since it uses less digits than its factorization.

11443113430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162406 (or 162394 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11443113430200 its reverse (203431134411), we get a palindrome (11646544564611).

The spelling of 11443113430200 in words is "eleven trillion, four hundred forty-three billion, one hundred thirteen million, four hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 65867 96517 131734 193034 197601 263468 289551 329335 386068 395202 482585 526936 579102 592803 658670 772136 790404 868653 965170 988005 1158204 1185606 1317340 1447755 1580808 1646675 1737306 1930340 1976010 2316408 2371212 2412925 2634680 2895510 2964015 3293350 3474612 3860680 3952020 4343265 4742424 4825850 4940025 5791020 5928030 6586700 6949224 7238775 7904040 8686530 9651700 9880050 11582040 11856060 13173400 14477550 14820075 17373060 19303400 19760100 21716325 23712120 28955100 29640150 34746120 39520200 43432650 57910200 59280300 86865300 118560600 173730600 6357285239 12714570478 19071855717 25429140956 31786426195 38143711434 50858281912 57215567151 63572852390 76287422868 95359278585 114431134302 127145704780 152574845736 158932130975 190718557170 228862268604 254291409560 286077835755 317864261950 381437114340 457724537208 476796392925 572155671510 635728523900 762874228680 953592785850 1144311343020 1271457047800 1430389178775 1907185571700 2288622686040 2860778357550 3814371143400 5721556715100 11443113430200