Search a number
-
+
1144214500 = 2253111321231
BaseRepresentation
bin100010000110011…
…0101001111100100
32221202001010012211
41010030311033210
54320404331000
6305312253204
740232443222
oct10414651744
92852033184
101144214500
11537974320
1227b241204
13153091900
14abd6bb12
156a6bb7ba
hex443353e4

1144214500 has 144 divisors (see below), whose sum is σ = 2954375424. Its totient is φ = 383760000.

The previous prime is 1144214497. The next prime is 1144214521. The reversal of 1144214500 is 54124411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 928885 + ... + 930115.

It is an arithmetic number, because the mean of its divisors is an integer number (20516496).

Almost surely, 21144214500 is an apocalyptic number.

1144214500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144214500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477187712).

1144214500 is an abundant number, since it is smaller than the sum of its proper divisors (1810160924).

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

1144214500 is a wasteful number, since it uses less digits than its factorization.

1144214500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1144214500 is about 33826.2398146764. The cubic root of 1144214500 is about 1045.9296687854.

Adding to 1144214500 its reverse (54124411), we get a palindrome (1198338911).

The spelling of 1144214500 in words is "one billion, one hundred forty-four million, two hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 125 130 143 169 220 250 260 275 286 325 338 500 550 572 650 676 715 845 1100 1231 1300 1375 1430 1625 1690 1859 2462 2750 2860 3250 3380 3575 3718 4225 4924 5500 6155 6500 7150 7436 8450 9295 12310 13541 14300 16003 16900 17875 18590 21125 24620 27082 30775 32006 35750 37180 42250 46475 54164 61550 64012 67705 71500 80015 84500 92950 123100 135410 153875 160030 176033 185900 208039 232375 270820 307750 320060 338525 352066 400075 416078 464750 615500 677050 704132 800150 832156 880165 929500 1040195 1354100 1600300 1692625 1760330 2000375 2080390 2288429 3385250 3520660 4000750 4160780 4400825 4576858 5200975 6770500 8001500 8801650 9153716 10401950 11442145 17603300 20803900 22004125 22884290 26004875 44008250 45768580 52009750 57210725 88016500 104019500 114421450 228842900 286053625 572107250 1144214500