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2442004420420 = 225294789581967
BaseRepresentation
bin100011100010010010110…
…011100101011101000100
322122110020111010212100201
4203202102303211131010
5310002211112423140
65105501421420244
7341300101042135
oct43422263453504
98573214125321
102442004420420
11861714917a24
1233533a40a684
131493842b9346
148629d509c8c
15437c734549a
hex23892ce5744

2442004420420 has 48 divisors (see below), whose sum is σ = 5417917424640. Its totient is φ = 923052577664.

The previous prime is 2442004420409. The next prime is 2442004420423. The reversal of 2442004420420 is 240244002442.

It is a super-2 number, since 2×24420044204202 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2442004420423) 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, 44763724 + ... + 44818243.

It is an arithmetic number, because the mean of its divisors is an integer number (112873279680).

Almost surely, 22442004420420 is an apocalyptic number.

2442004420420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442004420420 is an abundant number, since it is smaller than the sum of its proper divisors (2975913004220).

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

2442004420420 is a wasteful number, since it uses less digits than its factorization.

2442004420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89582052 (or 89582050 counting only the distinct ones).

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

Adding to 2442004420420 its reverse (240244002442), we get a palindrome (2682248422862).

The spelling of 2442004420420 in words is "two trillion, four hundred forty-two billion, four million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 47 58 94 116 145 188 235 290 470 580 940 1363 2726 5452 6815 13630 27260 89581967 179163934 358327868 447909835 895819670 1791639340 2597877043 4210352449 5195754086 8420704898 10391508172 12989385215 16841409796 21051762245 25978770430 42103524490 51957540860 84207048980 122100221021 244200442042 488400884084 610501105105 1221002210210 2442004420420