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1125410344344 = 233211131031106019
BaseRepresentation
bin10000011000000111101…
…011110000110110011000
310222120212210010000011100
4100120013223300312120
5121414320022004334
62221001213231400
7144210501043056
oct20300753606630
93876783100140
101125410344344
113a4313888880
12162141792560
13821833355a0
143c6821491d6
151e41b6cbc99
hex10607af0d98

1125410344344 has 192 divisors, whose sum is σ = 3584358086400. Its totient is φ = 314491795200.

The previous prime is 1125410344273. The next prime is 1125410344363. The reversal of 1125410344344 is 4434430145211.

It is a happy number.

1125410344344 is a `hidden beast` number, since 1 + 1 + 2 + 541 + 0 + 34 + 43 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1125410344299 and 1125410344308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10562167 + ... + 10668185.

It is an arithmetic number, because the mean of its divisors is an integer number (18668531700).

Almost surely, 21125410344344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125410344344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792179043200).

1125410344344 is an abundant number, since it is smaller than the sum of its proper divisors (2458947742056).

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

1125410344344 is a wasteful number, since it uses less digits than its factorization.

1125410344344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107086 (or 107079 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 1125410344344 its reverse (4434430145211), we get a palindrome (5559840489555).

The spelling of 1125410344344 in words is "one trillion, one hundred twenty-five billion, four hundred ten million, three hundred forty-four thousand, three hundred forty-four".