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1141081344 = 2835131783
BaseRepresentation
bin100010000000011…
…1000010100000000
32221112010221100000
41010000320110000
54314104100334
6305121200000
740164013524
oct10400702400
92845127300
101141081344
11536124337
1227a190000
13152535780
14ab793d84
156a29d299
hex44038500

1141081344 has 432 divisors, whose sum is σ = 3937332672. Its totient is φ = 326467584.

The previous prime is 1141081339. The next prime is 1141081351. The reversal of 1141081344 is 4431801411.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13747927 + ... + 13748009.

It is an arithmetic number, because the mean of its divisors is an integer number (9114196).

Almost surely, 21141081344 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 1141081344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968666336).

1141081344 is an abundant number, since it is smaller than the sum of its proper divisors (2796251328).

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

1141081344 is an equidigital number, since it uses as much as digits as its factorization.

1141081344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1141081344 is about 33779.8955593412. The cubic root of 1141081344 is about 1044.9741205254.

Adding to 1141081344 its reverse (4431801411), we get a palindrome (5572882755).

The spelling of 1141081344 in words is "one billion, one hundred forty-one million, eighty-one thousand, three hundred forty-four".