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42020202024 = 2332583613917
BaseRepresentation
bin100111001000100110…
…010110011000101000
311000110110102102200200
4213020212112120220
51142024132431044
631145342432200
73015204552423
oct471046263050
9130413372620
1042020202024
1116903343799
128188592660
133c68780c88
142068a049ba
15115e03a369
hex9c8996628

42020202024 has 24 divisors (see below), whose sum is σ = 113804714010. Its totient is φ = 14006733984.

The previous prime is 42020202019. The next prime is 42020202041.

42020202024 is a `hidden beast` number, since 420 + 20 + 20 + 202 + 4 = 666.

42020202024 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 27828245124 + 14191956900 = 166818^2 + 119130^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42020201988 and 42020202006.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 291806887 + ... + 291807030.

Almost surely, 242020202024 is an apocalyptic number.

It is an amenable number.

42020202024 is an abundant number, since it is smaller than the sum of its proper divisors (71784511986).

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

42020202024 is a wasteful number, since it uses less digits than its factorization.

42020202024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583613929 (or 583613922 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The spelling of 42020202024 in words is "forty-two billion, twenty million, two hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 583613917 1167227834 1750841751 2334455668 3501683502 4668911336 5252525253 7003367004 10505050506 14006734008 21010101012 42020202024