Search a number
-
+
1144061064 = 233341912641
BaseRepresentation
bin100010000110000…
…1111110010001000
32221201202022202000
41010030033302020
54320334423224
6305305111000
740231233666
oct10414176210
92851668660
101144061064
1153787a013
1227b188460
13153039b13
14abd2bc36
156a68b0c9
hex4430fc88

1144061064 has 64 divisors (see below), whose sum is σ = 3185784000. Its totient is φ = 380413440.

The previous prime is 1144061063. The next prime is 1144061077. The reversal of 1144061064 is 4601604411.

1144061064 is a `hidden beast` number, since 1 + 1 + 4 + 40 + 610 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1144061063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84184 + ... + 96824.

It is an arithmetic number, because the mean of its divisors is an integer number (49777875).

Almost surely, 21144061064 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 1144061064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592892000).

1144061064 is an abundant number, since it is smaller than the sum of its proper divisors (2041722936).

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

1144061064 is a wasteful number, since it uses less digits than its factorization.

1144061064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13075 (or 13065 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1144061064 is about 33823.9717360336. The cubic root of 1144061064 is about 1045.8829146034.

Adding to 1144061064 its reverse (4601604411), we get a palindrome (5745665475).

The spelling of 1144061064 in words is "one billion, one hundred forty-four million, sixty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 419 838 1257 1676 2514 3352 3771 5028 7542 10056 11313 12641 15084 22626 25282 30168 37923 45252 50564 75846 90504 101128 113769 151692 227538 303384 341307 455076 682614 910152 1365228 2730456 5296579 10593158 15889737 21186316 31779474 42372632 47669211 63558948 95338422 127117896 143007633 190676844 286015266 381353688 572030532 1144061064