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11143304400 = 2435211238269
BaseRepresentation
bin10100110000011000…
…10101010011010000
31001202121002111220210
422120030111103100
5140310141220100
65041423404120
7543066344634
oct123014252320
931677074823
1011143304400
1147a9117588
1221aba53640
131087820a57
14779d34dc4
15453449c50
hex2983154d0

11143304400 has 120 divisors (see below), whose sum is σ = 35731825120. Its totient is φ = 2968542720.

The previous prime is 11143304399. The next prime is 11143304441. The reversal of 11143304400 is 440334111.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1343466 + ... + 1351734.

Almost surely, 211143304400 is an apocalyptic number.

11143304400 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 11143304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17865912560).

11143304400 is an abundant number, since it is smaller than the sum of its proper divisors (24588520720).

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

11143304400 is a wasteful number, since it uses less digits than its factorization.

11143304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9413 (or 9402 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11143304400 its reverse (440334111), we get a palindrome (11583638511).

The spelling of 11143304400 in words is "eleven billion, one hundred forty-three million, three hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1123 1200 2246 3369 4492 5615 6738 8269 8984 11230 13476 16538 16845 17968 22460 24807 26952 28075 33076 33690 41345 44920 49614 53904 56150 66152 67380 82690 84225 89840 99228 112300 124035 132304 134760 165380 168450 198456 206725 224600 248070 269520 330760 336900 396912 413450 449200 496140 620175 661520 673800 826900 992280 1240350 1347600 1653800 1984560 2480700 3307600 4961400 9286087 9922800 18572174 27858261 37144348 46430435 55716522 74288696 92860870 111433044 139291305 148577392 185721740 222866088 232152175 278582610 371443480 445732176 464304350 557165220 696456525 742886960 928608700 1114330440 1392913050 1857217400 2228660880 2785826100 3714434800 5571652200 11143304400