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11441334023400 = 2335241465094879
BaseRepresentation
bin1010011001111110010010…
…1001100111010011101000
31111111210002020110222212210
42212133210221213103220
52444423323002222100
640200024251205120
72260415631402231
oct246374451472350
944453066428783
1011441334023400
113711273865926
1213494a77467a0
1364cbb4302cb8
142b7a99162088
1514c936c4ac50
hexa67e4a674e8

11441334023400 has 96 divisors (see below), whose sum is σ = 36333212025600. Its totient is φ = 2976607219200.

The previous prime is 11441334023381. The next prime is 11441334023401. The reversal of 11441334023400 is 432043314411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11441334023401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232522840 + ... + 232572039.

It is an arithmetic number, because the mean of its divisors is an integer number (378470958600).

Almost surely, 211441334023400 is an apocalyptic number.

11441334023400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11441334023400 is an abundant number, since it is smaller than the sum of its proper divisors (24891878002200).

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

11441334023400 is a wasteful number, since it uses less digits than its factorization.

11441334023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465094939 (or 465094930 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 11441334023400 its reverse (432043314411), we get a palindrome (11873377337811).

The spelling of 11441334023400 in words is "eleven trillion, four hundred forty-one billion, three hundred thirty-four million, twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 984 1025 1230 1640 2050 2460 3075 4100 4920 6150 8200 12300 24600 465094879 930189758 1395284637 1860379516 2325474395 2790569274 3720759032 4650948790 5581138548 6976423185 9301897580 11162277096 11627371975 13952846370 18603795160 19068890039 23254743950 27905692740 34882115925 38137780078 46509487900 55811385480 57206670117 69764231850 76275560156 93018975800 95344450195 114413340234 139528463700 152551120312 190688900390 228826680468 279056927400 286033350585 381377800780 457653360936 476722250975 572066701170 762755601560 953444501950 1144133402340 1430166752925 1906889003900 2288266804680 2860333505850 3813778007800 5720667011700 11441334023400