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1414514240 = 26517436047
BaseRepresentation
bin101010001001111…
…1100011001000000
310122120122202202022
41110103330121000
510344103423430
6352205541012
750024113136
oct12423743100
93576582668
101414514240
11666502537
12335874768
13197090c99
14d5c0d756
15842b04e5
hex544fc640

1414514240 has 112 divisors (see below), whose sum is σ = 3649992192. Its totient is φ = 520052736.

The previous prime is 1414514239. The next prime is 1414514243. The reversal of 1414514240 is 424154141.

It is not an unprimeable number, because it can be changed into a prime (1414514243) 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, 230897 + ... + 236943.

It is an arithmetic number, because the mean of its divisors is an integer number (32589216).

Almost surely, 21414514240 is an apocalyptic number.

1414514240 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 1414514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824996096).

1414514240 is an abundant number, since it is smaller than the sum of its proper divisors (2235477952).

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

1414514240 is a wasteful number, since it uses less digits than its factorization.

1414514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 6114 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 1414514240 is about 37610.0284498696. The cubic root of 1414514240 is about 1122.5415920026.

Adding to 1414514240 its reverse (424154141), we get a palindrome (1838668381).

The spelling of 1414514240 in words is "one billion, four hundred fourteen million, five hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 43 64 68 80 85 86 136 160 170 172 215 272 320 340 344 430 544 680 688 731 860 1088 1360 1376 1462 1720 2720 2752 2924 3440 3655 5440 5848 6047 6880 7310 11696 12094 13760 14620 23392 24188 29240 30235 46784 48376 58480 60470 96752 102799 116960 120940 193504 205598 233920 241880 260021 387008 411196 483760 513995 520042 822392 967520 1027990 1040084 1300105 1644784 1935040 2055980 2080168 2600210 3289568 4111960 4160336 4420357 5200420 6579136 8223920 8320672 8840714 10400840 16447840 16641344 17681428 20801680 22101785 32895680 35362856 41603360 44203570 70725712 83206720 88407140 141451424 176814280 282902848 353628560 707257120 1414514240