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2424141304 = 2313235931709
BaseRepresentation
bin1001000001111101…
…0111010111111000
320020221110010201021
42100133113113320
514431040010204
61040313432224
7114033601234
oct22037272770
96227403637
102424141304
111034401272
12577a0b674
132c82bc050
1418dd455c4
15e2c44154
hex907d75f8

2424141304 has 64 divisors (see below), whose sum is σ = 5119329600. Its totient is φ = 1067759616.

The previous prime is 2424141287. The next prime is 2424141337. The reversal of 2424141304 is 4031414242.

It is a super-2 number, since 2×24241413042 = 11752922123517640832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1417602 + ... + 1419310.

It is an arithmetic number, because the mean of its divisors is an integer number (79989525).

Almost surely, 22424141304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424141304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559664800).

2424141304 is an abundant number, since it is smaller than the sum of its proper divisors (2695188296).

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

2424141304 is a wasteful number, since it uses less digits than its factorization.

2424141304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2424141304 is about 49235.5695001084. The cubic root of 2424141304 is about 1343.3400940631.

Adding to 2424141304 its reverse (4031414242), we get a palindrome (6455555546).

The spelling of 2424141304 in words is "two billion, four hundred twenty-four million, one hundred forty-one thousand, three hundred four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 593 598 1186 1196 1709 2372 2392 3418 4744 6836 7709 13639 13672 15418 22217 27278 30836 39307 44434 54556 61672 78614 88868 109112 157228 177307 177736 314456 354614 510991 709228 1013437 1021982 1418456 2026874 2043964 4053748 4087928 8107496 13174681 23309051 26349362 46618102 52698724 93236204 105397448 186472408 303017663 606035326 1212070652 2424141304