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1144115466 = 231322394721
BaseRepresentation
bin100010000110001…
…1101000100001010
32221201212002100220
41010030131010022
54320343143331
6305310210510
740231551414
oct10414350412
92851762326
101144115466
1153790697a
1227b1b3a36
13153058800
14abd439b4
156a69c296
hex4431d10a

1144115466 has 48 divisors (see below), whose sum is σ = 2488682880. Its totient is φ = 350488320.

The previous prime is 1144115459. The next prime is 1144115477. The reversal of 1144115466 is 6645114411.

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 23 ways as a sum of consecutive naturals, for example, 239986 + ... + 244706.

It is an arithmetic number, because the mean of its divisors is an integer number (51847560).

Almost surely, 21144115466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144115466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244341440).

1144115466 is an abundant number, since it is smaller than the sum of its proper divisors (1344567414).

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

1144115466 is a wasteful number, since it uses less digits than its factorization.

1144115466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4991 (or 4978 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 1144115466 is about 33824.7759194352. The cubic root of 1144115466 is about 1045.8994921628.

Adding to 1144115466 its reverse (6645114411), we get a palindrome (7789229877).

The spelling of 1144115466 in words is "one billion, one hundred forty-four million, one hundred fifteen thousand, four hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 78 169 239 338 478 507 717 1014 1434 3107 4721 6214 9321 9442 14163 18642 28326 40391 61373 80782 121173 122746 184119 242346 368238 797849 1128319 1595698 2256638 2393547 3384957 4787094 6769914 14668147 29336294 44004441 88008882 190685911 381371822 572057733 1144115466