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1124140443444 = 223231226123429
BaseRepresentation
bin10000010110111011111…
…111011110011100110100
310222110121021120100121200
4100112323333132130310
5121404214423142234
62220231211012500
7144134151053064
oct20267377363464
93873537510550
101124140443444
113a3821a794a7
12161a4843a130
1382010208735
143c5a16213a4
151e394e84d99
hex105bbfde734

1124140443444 has 18 divisors (see below), whose sum is σ = 2841577232130. Its totient is φ = 374713481136.

The previous prime is 1124140443431. The next prime is 1124140443449. The reversal of 1124140443444 is 4443440414211.

1124140443444 is a `hidden beast` number, since 1 + 1 + 241 + 404 + 4 + 3 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1123998595344 + 141848100 = 1060188^2 + 11910^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×11241404434442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 31226123429 = 1124140443444 / (1 + 1 + 2 + 4 + 1 + 4 + 0 + 4 + 4 + 3 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 1124140443399 and 1124140443408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124140443449) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15613061679 + ... + 15613061750.

It is an arithmetic number, because the mean of its divisors is an integer number (157865401785).

Almost surely, 21124140443444 is an apocalyptic number.

It is an amenable number.

1124140443444 is an abundant number, since it is smaller than the sum of its proper divisors (1717436788686).

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

1124140443444 is a wasteful number, since it uses less digits than its factorization.

1124140443444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31226123439 (or 31226123434 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 1124140443444 its reverse (4443440414211), we get a palindrome (5567580857655).

The spelling of 1124140443444 in words is "one trillion, one hundred twenty-four billion, one hundred forty million, four hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 31226123429 62452246858 93678370287 124904493716 187356740574 281035110861 374713481148 562070221722 1124140443444