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1141734528 = 2735114771
BaseRepresentation
bin100010000001101…
…0111110010000000
32221120101010100000
41010003113302000
54314241001103
6305143200000
740202404044
oct10403276200
92846333300
101141734528
11536530060
1227a446000
13152703b7c
14ab8c4024
156a37baa3
hex440d7c80

1141734528 has 384 divisors, whose sum is σ = 3849431040. Its totient is φ = 333849600.

The previous prime is 1141734487. The next prime is 1141734541. The reversal of 1141734528 is 8254371411.

1141734528 is a `hidden beast` number, since 114 + 17 + 3 + 4 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 1141734492 and 1141734501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16080733 + ... + 16080803.

It is an arithmetic number, because the mean of its divisors is an integer number (10024560).

Almost surely, 21141734528 is an apocalyptic number.

1141734528 is a gapful number since it is divisible by the number (18) 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 1141734528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924715520).

1141734528 is an abundant number, since it is smaller than the sum of its proper divisors (2707696512).

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

1141734528 is an equidigital number, since it uses as much as digits as its factorization.

1141734528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 1141734528 is about 33789.5624120822. The cubic root of 1141734528 is about 1045.1734724187.

The spelling of 1141734528 in words is "one billion, one hundred forty-one million, seven hundred thirty-four thousand, five hundred twenty-eight".