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1144010340 = 22325112325121
BaseRepresentation
bin100010000110000…
…0011011001100100
32221201122202011100
41010030003121210
54320331312330
6305304040100
740230633054
oct10414033144
92851582140
101144010340
115378449a0
1227b163030
1315301c9c5
14abd17564
156a67b060
hex44303664

1144010340 has 144 divisors (see below), whose sum is σ = 3950384256. Its totient is φ = 265267200.

The previous prime is 1144010303. The next prime is 1144010341. The reversal of 1144010340 is 430104411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1144010341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32980 + ... + 58100.

It is an arithmetic number, because the mean of its divisors is an integer number (27433224).

Almost surely, 21144010340 is an apocalyptic number.

1144010340 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 1144010340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975192128).

1144010340 is an abundant number, since it is smaller than the sum of its proper divisors (2806373916).

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

1144010340 is a wasteful number, since it uses less digits than its factorization.

1144010340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25170 (or 25165 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1144010340 is about 33823.2219044845. The cubic root of 1144010340 is about 1045.8674573431.

Adding to 1144010340 its reverse (430104411), we get a palindrome (1574114751).

The spelling of 1144010340 in words is "one billion, one hundred forty-four million, ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1265 1380 1518 1980 2070 2277 2530 3036 3795 4140 4554 5060 7590 9108 11385 15180 22770 25121 45540 50242 75363 100484 125605 150726 226089 251210 276331 301452 376815 452178 502420 552662 577783 753630 828993 904356 1105324 1130445 1155566 1381655 1507260 1657986 1733349 2260890 2311132 2486979 2763310 2888915 3315972 3466698 4144965 4521780 4973958 5200047 5526620 5777830 6355613 6933396 8289930 8666745 9947916 10400094 11555660 12434895 12711226 16579860 17333490 19066839 20800188 24869790 25422452 26000235 31778065 34666980 38133678 49739580 52000470 57200517 63556130 76267356 95334195 104000940 114401034 127112260 190668390 228802068 286002585 381336780 572005170 1144010340