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24200042420 = 2251210002121
BaseRepresentation
bin10110100010011011…
…110101011110110100
32022110112122112022102
4112202123311132310
5344030202324140
615041202521232
71514461652351
oct264233653664
968415575272
1024200042420
11a299325064
124834666218
132388899a38
14125802d628
15969857e15
hex5a26f57b4

24200042420 has 12 divisors (see below), whose sum is σ = 50820089124. Its totient is φ = 9680016960.

The previous prime is 24200042407. The next prime is 24200042441. The reversal of 24200042420 is 2424000242.

It can be written as a sum of positive squares in 2 ways, for example, as 9997600144 + 14202442276 = 99988^2 + 119174^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 1210002121 = 24200042420 / (2 + 4 + 2 + 0 + 0 + 0 + 4 + 2 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 24200042392 and 24200042401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 605001041 + ... + 605001080.

It is an arithmetic number, because the mean of its divisors is an integer number (4235007427).

Almost surely, 224200042420 is an apocalyptic number.

24200042420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24200042420 is an abundant number, since it is smaller than the sum of its proper divisors (26620046704).

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

24200042420 is a wasteful number, since it uses less digits than its factorization.

24200042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210002130 (or 1210002128 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 24200042420 its reverse (2424000242), we get a palindrome (26624042662).

The spelling of 24200042420 in words is "twenty-four billion, two hundred million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1210002121 2420004242 4840008484 6050010605 12100021210 24200042420