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1144042240 = 28511193421
BaseRepresentation
bin100010000110000…
…1011001100000000
32221201201100220211
41010030023030000
54320333322430
6305304443504
740231125055
oct10414131400
92851640824
101144042240
11537866960
1227b179594
13153031393
14abd2502c
156a68572a
hex4430b300

1144042240 has 144 divisors (see below), whose sum is σ = 3012087456. Its totient is φ = 412876800.

The previous prime is 1144042169. The next prime is 1144042247. The reversal of 1144042240 is 422404411.

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

It is not an unprimeable number, because it can be changed into a prime (1144042247) 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, 2717230 + ... + 2717650.

It is an arithmetic number, because the mean of its divisors is an integer number (20917274).

Almost surely, 21144042240 is an apocalyptic number.

1144042240 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 1144042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506043728).

1144042240 is an abundant number, since it is smaller than the sum of its proper divisors (1868045216).

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

1144042240 is a wasteful number, since it uses less digits than its factorization.

1144042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1144042240 is about 33823.6934707019. The cubic root of 1144042240 is about 1045.8771783689.

Adding to 1144042240 its reverse (422404411), we get a palindrome (1566446651).

The spelling of 1144042240 in words is "one billion, one hundred forty-four million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 193 220 256 320 352 386 421 440 640 704 772 842 880 965 1280 1408 1544 1684 1760 1930 2105 2123 2816 3088 3368 3520 3860 4210 4246 4631 6176 6736 7040 7720 8420 8492 9262 10615 12352 13472 14080 15440 16840 16984 18524 21230 23155 24704 26944 30880 33680 33968 37048 42460 46310 49408 53888 61760 67360 67936 74096 81253 84920 92620 107776 123520 134720 135872 148192 162506 169840 185240 247040 269440 271744 296384 325012 339680 370480 406265 538880 543488 592768 650024 679360 740960 812530 893783 1185536 1300048 1358720 1481920 1625060 1787566 2600096 2717440 2963840 3250120 3575132 4468915 5200192 5927680 6500240 7150264 8937830 10400384 13000480 14300528 17875660 20800768 26000960 28601056 35751320 52001920 57202112 71502640 104003840 114404224 143005280 228808448 286010560 572021120 1144042240