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11443043414124 = 22327449101133413
BaseRepresentation
bin1010011010000100101010…
…0010011011000001101100
31111111221111101000001010100
42212201022202123001230
52444440323103222444
640200510033311100
72260506166105530
oct246411242330154
944457441001110
1011443043414124
113711a70762433
1213498a4105490
136500c74b99ba
142b7bbc1adbc0
1514c9d6d56e69
hexa684a89b06c

11443043414124 has 72 divisors (see below), whose sum is σ = 33131306426400. Its totient is φ = 3262159337472.

The previous prime is 11443043414081. The next prime is 11443043414129. The reversal of 11443043414124 is 42141434034411.

11443043414124 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 304 + 341 + 4 + 1 + 2 + 4 = 666.

It is a super-3 number, since 3×114430434141243 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11443043414129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50453559 + ... + 50679854.

It is an arithmetic number, because the mean of its divisors is an integer number (460157033700).

Almost surely, 211443043414124 is an apocalyptic number.

11443043414124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11443043414124 is an abundant number, since it is smaller than the sum of its proper divisors (21688263012276).

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

11443043414124 is a wasteful number, since it uses less digits than its factorization.

11443043414124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101133879 (or 101133874 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 11443043414124 its reverse (42141434034411), we get a palindrome (53584477448535).

The spelling of 11443043414124 in words is "eleven trillion, four hundred forty-three billion, forty-three million, four hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 449 898 1347 1796 2694 3143 4041 5388 6286 8082 9429 12572 16164 18858 28287 37716 56574 113148 101133413 202266826 303400239 404533652 606800478 707933891 910200717 1213600956 1415867782 1820401434 2123801673 2831735564 3640802868 4247603346 6371405019 8495206692 12742810038 25485620076 45408902437 90817804874 136226707311 181635609748 272453414622 317862317059 408680121933 544906829244 635724634118 817360243866 953586951177 1271449268236 1634720487732 1907173902354 2860760853531 3814347804708 5721521707062 11443043414124