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4240144314 = 23374126673
BaseRepresentation
bin1111110010111011…
…0111011110111010
3101221111120122112000
43330232313132322
532140434104224
61540425001430
7210034426530
oct37456673672
911844518460
104240144314
1118864a61aa
129a4023276
135275c3143
142c31c6150
1519c3ae0c9
hexfcbb77ba

4240144314 has 96 divisors (see below), whose sum is σ = 11039329920. Its totient is φ = 1181744640.

The previous prime is 4240144289. The next prime is 4240144357. The reversal of 4240144314 is 4134410424.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632082 + ... + 638754.

It is an arithmetic number, because the mean of its divisors is an integer number (114993020).

Almost surely, 24240144314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4240144314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519664960).

4240144314 is an abundant number, since it is smaller than the sum of its proper divisors (6799185606).

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

4240144314 is a wasteful number, since it uses less digits than its factorization.

4240144314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6773 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4240144314 is about 65116.3905172883. The cubic root of 4240144314 is about 1618.5528296910.

Adding to 4240144314 its reverse (4134410424), we get a palindrome (8374554738).

The spelling of 4240144314 in words is "four billion, two hundred forty million, one hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 82 123 126 189 246 287 369 378 574 738 861 1107 1681 1722 2214 2583 3362 5043 5166 6673 7749 10086 11767 13346 15129 15498 20019 23534 30258 35301 40038 45387 46711 60057 70602 90774 93422 105903 120114 140133 180171 211806 273593 280266 317709 360342 420399 547186 635418 820779 840798 1261197 1641558 1915151 2462337 2522394 3830302 4924674 5745453 7387011 11217313 11490906 14774022 17236359 22434626 33651939 34472718 51709077 67303878 78521191 100955817 103418154 157042382 201911634 235563573 302867451 471127146 605734902 706690719 1413381438 2120072157 4240144314