Search a number
-
+
1114323144 = 2331129145549
BaseRepresentation
bin100001001101011…
…0011100011001000
32212122210110222120
41002122303203020
54240231320034
6302323451240
736420406344
oct10232634310
92778713876
101114323144
11522008520
12271226b20
13149b2720c
14a7dca624
1567c64c49
hex426b38c8

1114323144 has 64 divisors (see below), whose sum is σ = 3143880000. Its totient is φ = 326027520.

The previous prime is 1114323143. The next prime is 1114323187. The reversal of 1114323144 is 4413234111.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1114323143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65119 + ... + 80430.

It is an arithmetic number, because the mean of its divisors is an integer number (49123125).

Almost surely, 21114323144 is an apocalyptic number.

It is an amenable number.

1114323144 is an abundant number, since it is smaller than the sum of its proper divisors (2029556856).

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

1114323144 is a wasteful number, since it uses less digits than its factorization.

1114323144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145598 (or 145594 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1114323144 is about 33381.4790565068. The cubic root of 1114323144 is about 1036.7412617591.

Adding to 1114323144 its reverse (4413234111), we get a palindrome (5527557255).

The spelling of 1114323144 in words is "one billion, one hundred fourteen million, three hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7656 145549 291098 436647 582196 873294 1164392 1601039 1746588 3202078 3493176 4220921 4803117 6404156 8441842 9606234 12662763 12808312 16883684 19212468 25325526 33767368 38424936 46430131 50651052 92860262 101302104 139290393 185720524 278580786 371441048 557161572 1114323144