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1152150144 = 2735995009
BaseRepresentation
bin100010010101100…
…0110101010000000
32222021222021212120
41010223012222000
54324422301034
6310154324240
740360054215
oct10453065200
92867867776
101152150144
115413a4502
12281a29680
1315490c962
14ad035b0c
156b237c49
hex44ac6a80

1152150144 has 64 divisors (see below), whose sum is σ = 3066120000. Its totient is φ = 383332352.

The previous prime is 1152150133. The next prime is 1152150169. The reversal of 1152150144 is 4410512511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 227512 + ... + 232520.

It is an arithmetic number, because the mean of its divisors is an integer number (47908125).

Almost surely, 21152150144 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 1152150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533060000).

1152150144 is an abundant number, since it is smaller than the sum of its proper divisors (1913969856).

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

1152150144 is an equidigital number, since it uses as much as digits as its factorization.

1152150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5625 (or 5613 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 1152150144 is about 33943.3372549017. The cubic root of 1152150144 is about 1048.3420983667.

Adding to 1152150144 its reverse (4410512511), we get a palindrome (5562662655).

The spelling of 1152150144 in words is "one billion, one hundred fifty-two million, one hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 599 1198 1797 2396 3594 4792 5009 7188 9584 10018 14376 15027 19168 20036 28752 30054 38336 40072 57504 60108 76672 80144 115008 120216 160288 230016 240432 320576 480864 641152 961728 1923456 3000391 6000782 9001173 12001564 18002346 24003128 36004692 48006256 72009384 96012512 144018768 192025024 288037536 384050048 576075072 1152150144