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14424032340 = 22335148917939
BaseRepresentation
bin11010110111011110…
…10100010001010100
31101020020100202121000
431123233110101110
5214020023013330
610343141023300
71020304152264
oct153357242124
941206322530
1014424032340
116131a98a93
1229666b4b30
13148b4160a3
149ab9357a4
15596492560
hex35bbd4454

14424032340 has 96 divisors (see below), whose sum is σ = 44907408000. Its totient is φ = 3843611136.

The previous prime is 14424032339. The next prime is 14424032353. The reversal of 14424032340 is 4323042441.

It is a happy number.

14424032340 is a `hidden beast` number, since 1 + 4 + 424 + 0 + 3 + 234 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 795091 + ... + 813029.

It is an arithmetic number, because the mean of its divisors is an integer number (467785500).

Almost surely, 214424032340 is an apocalyptic number.

14424032340 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 14424032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22453704000).

14424032340 is an abundant number, since it is smaller than the sum of its proper divisors (30483375660).

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

14424032340 is a wasteful number, since it uses less digits than its factorization.

14424032340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19446 (or 19438 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 14424032340 its reverse (4323042441), we get a palindrome (18747074781).

The spelling of 14424032340 in words is "fourteen billion, four hundred twenty-four million, thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1489 2978 4467 5956 7445 8934 13401 14890 17868 17939 22335 26802 29780 35878 40203 44670 53604 53817 67005 71756 80406 89340 89695 107634 134010 160812 161451 179390 201015 215268 268020 269085 322902 358780 402030 484353 538170 645804 804060 807255 968706 1076340 1614510 1937412 2421765 3229020 4843530 9687060 26711171 53422342 80133513 106844684 133555855 160267026 240400539 267111710 320534052 400667565 480801078 534223420 721201617 801335130 961602156 1202002695 1442403234 1602670260 2404005390 2884806468 3606008085 4808010780 7212016170 14424032340