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2434246310420 = 225618532339137
BaseRepresentation
bin100011011011000100011…
…000101111101000010100
322121201012210220001011022
4203123010120233220110
5304340314023413140
65102135522300312
7340603615145501
oct43330430575024
98551183801138
102434246310420
118593a3644071
123339341b7698
13148718c09402
1485b6500a4a8
15434c11cb0b5
hex236c462fa14

2434246310420 has 48 divisors (see below), whose sum is σ = 5201812510608. Its totient is φ = 956613058560.

The previous prime is 2434246310417. The next prime is 2434246310423. The reversal of 2434246310420 is 240136424342.

It is an interprime number because it is at equal distance from previous prime (2434246310417) and next prime (2434246310423).

It can be written as a sum of positive squares in 8 ways, for example, as 179720036356 + 2254526274064 = 423934^2 + 1501508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434246310423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128909 + ... + 2210228.

It is an arithmetic number, because the mean of its divisors is an integer number (108371093971).

Almost surely, 22434246310420 is an apocalyptic number.

2434246310420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434246310420 is an abundant number, since it is smaller than the sum of its proper divisors (2767566200188).

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

2434246310420 is a wasteful number, since it uses less digits than its factorization.

2434246310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340060 (or 2340058 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

The spelling of 2434246310420 in words is "two trillion, four hundred thirty-four billion, two hundred forty-six million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 853 1220 1706 3412 4265 8530 17060 52033 104066 208132 260165 520330 1040660 2339137 4678274 9356548 11695685 23391370 46782740 142687357 285374714 570749428 713436785 1426873570 1995283861 2853747140 3990567722 7981135444 9976419305 19952838610 39905677220 121712315521 243424631042 486849262084 608561577605 1217123155210 2434246310420