Search a number
-
+
1144664064 = 2123231051
BaseRepresentation
bin100010000111010…
…0011000000000000
32221202212221220100
41010032203000000
54321013222224
6305330042400
740236325005
oct10416430000
92852787810
101144664064
11538151065
1227b419400
131531bb41b
14ac0478ac
156a759ac9
hex443a3000

1144664064 has 78 divisors (see below), whose sum is σ = 3306510116. Its totient is φ = 381542400.

The previous prime is 1144664051. The next prime is 1144664089. The reversal of 1144664064 is 4604664411.

1144664064 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 6 + 640 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21339 + ... + 52389.

Almost surely, 21144664064 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 1144664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653255058).

1144664064 is an abundant number, since it is smaller than the sum of its proper divisors (2161846052).

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

1144664064 is an equidigital number, since it uses as much as digits as its factorization.

1144664064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31081 (or 31056 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1144664064 is about 33832.8843582690. The cubic root of 1144664064 is about 1046.0666334182.

The spelling of 1144664064 in words is "one billion, one hundred forty-four million, six hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 31051 36864 62102 93153 124204 186306 248408 279459 372612 496816 558918 745224 993632 1117836 1490448 1987264 2235672 2980896 3974528 4471344 5961792 7949056 8942688 11923584 15898112 17885376 23847168 31796224 35770752 47694336 63592448 71541504 95388672 127184896 143083008 190777344 286166016 381554688 572332032 1144664064