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1440312012 = 22321759113353
BaseRepresentation
bin101010111011001…
…0110101011001100
310201101012102122100
41111312112223030
510422204441022
6354530515100
750456310246
oct12566265314
93641172570
101440312012
1167a022807
12342435a90
1319c524339
14d9407096
15866a91ac
hex55d96acc

1440312012 has 144 divisors (see below), whose sum is σ = 3966187680. Its totient is φ = 439025664.

The previous prime is 1440312011. The next prime is 1440312017. The reversal of 1440312012 is 2102130441.

It is a super-2 number, since 2×14403120122 = 4148997383822976288, which contains 22 as substring.

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 (1440312011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4080028 + ... + 4080380.

It is an arithmetic number, because the mean of its divisors is an integer number (27542970).

Almost surely, 21440312012 is an apocalyptic number.

1440312012 is a gapful number since it is divisible by the number (12) 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 1440312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983093840).

1440312012 is an abundant number, since it is smaller than the sum of its proper divisors (2525875668).

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

1440312012 is a wasteful number, since it uses less digits than its factorization.

1440312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 547 counting only the distinct ones).

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

The square root of 1440312012 is about 37951.4428184226. The cubic root of 1440312012 is about 1129.3247883599.

Adding to 1440312012 its reverse (2102130441), we get a palindrome (3542442453).

The spelling of 1440312012 in words is "one billion, four hundred forty million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 59 68 102 113 118 153 177 204 226 236 306 339 353 354 452 531 612 678 706 708 1003 1017 1059 1062 1356 1412 1921 2006 2034 2118 2124 3009 3177 3842 4012 4068 4236 5763 6001 6018 6354 6667 7684 9027 11526 12002 12036 12708 13334 17289 18003 18054 20001 20827 23052 24004 26668 34578 36006 36108 39889 40002 41654 54009 60003 62481 69156 72012 79778 80004 83308 108018 113339 119667 120006 124962 159556 187443 216036 226678 239334 240012 249924 340017 354059 359001 374886 453356 478668 678113 680034 708118 718002 749772 1020051 1062177 1356226 1360068 1416236 1436004 2034339 2040102 2124354 2353451 2712452 3186531 4068678 4080204 4248708 4706902 6103017 6373062 7060353 8137356 9413804 12206034 12746124 14120706 21181059 24412068 28241412 40008667 42362118 80017334 84724236 120026001 160034668 240052002 360078003 480104004 720156006 1440312012