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11234123340400 = 2452611723267217
BaseRepresentation
bin1010001101111010010111…
…1011100101101001110000
31110202222020101000122212001
42203132211323211221300
52433024441033343100
635520515055143344
72236432022555632
oct243364573455160
943688211018761
1011234123340400
113641401830884
1213152b9214b54
136364b11531bc
142aba3d560a52
1514735a742d6a
hexa37a5ee5a70

11234123340400 has 120 divisors (see below), whose sum is σ = 27448464078224. Its totient is φ = 4417401139200.

The previous prime is 11234123340389. The next prime is 11234123340413. The reversal of 11234123340400 is 404332143211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41907592 + ... + 42174808.

Almost surely, 211234123340400 is an apocalyptic number.

11234123340400 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 11234123340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13724232039112).

11234123340400 is an abundant number, since it is smaller than the sum of its proper divisors (16214340737824).

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

11234123340400 is a wasteful number, since it uses less digits than its factorization.

11234123340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269019 (or 269008 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 11234123340400 its reverse (404332143211), we get a palindrome (11638455483611).

The spelling of 11234123340400 in words is "eleven trillion, two hundred thirty-four billion, one hundred twenty-three million, three hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 200 244 305 400 488 610 976 1220 1525 1723 2440 3050 3446 4880 6100 6892 8615 12200 13784 17230 24400 27568 34460 43075 68920 86150 105103 137840 172300 210206 267217 344600 420412 525515 534434 689200 840824 1051030 1068868 1336085 1681648 2102060 2137736 2627575 2672170 4204120 4275472 5255150 5344340 6680425 8408240 10510300 10688680 13360850 16300237 21020600 21377360 26721700 32600474 42041200 53443400 65200948 81501185 106886800 130401896 163002370 260803792 326004740 407505925 460414891 652009480 815011850 920829782 1304018960 1630023700 1841659564 2302074455 3260047400 3683319128 4604148910 6520094800 7366638256 9208297820 11510372275 18416595640 23020744550 28085308351 36833191280 46041489100 56170616702 92082978200 112341233404 140426541755 184165956400 224682466808 280853083510 449364933616 561706167020 702132708775 1123412334040 1404265417550 2246824668080 2808530835100 5617061670200 11234123340400