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2404400242420 = 2251119575215369
BaseRepresentation
bin100010111111010001011…
…011000001111011110100
322111212011210020200210101
4202333101123001323310
5303343202430224140
65040322145403444
7335466164564131
oct42772133017364
98455153220711
102404400242420
11847778288470
12329ba4939584
131459706bbb47
14845331d1588
1542825d5b99a
hex22fd16c1ef4

2404400242420 has 48 divisors (see below), whose sum is σ = 5798170929600. Its totient is φ = 828310129920.

The previous prime is 2404400242417. The next prime is 2404400242427. The reversal of 2404400242420 is 242420044042.

It is a super-2 number, since 2×24044002424202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404400242427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 287603505 + ... + 287611864.

It is an arithmetic number, because the mean of its divisors is an integer number (120795227700).

Almost surely, 22404400242420 is an apocalyptic number.

2404400242420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2404400242420 is an abundant number, since it is smaller than the sum of its proper divisors (3393770687180).

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

2404400242420 is a wasteful number, since it uses less digits than its factorization.

2404400242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575215408 (or 575215406 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2404400242420 its reverse (242420044042), we get a palindrome (2646820286462).

The spelling of 2404400242420 in words is "two trillion, four hundred four billion, four hundred million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 575215369 1150430738 2300861476 2876076845 5752153690 6327369059 10929092011 11504307380 12654738118 21858184022 25309476236 31636845295 43716368044 54645460055 63273690590 109290920110 120220012121 126547381180 218581840220 240440024242 480880048484 601100060605 1202200121210 2404400242420