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242428300500 = 22353161618867
BaseRepresentation
bin1110000111000111011…
…0100100110011010100
3212011202020121200001110
43201301312210303110
512432443121104000
6303211531455020
723341412361051
oct3416166446324
9764666550043
10242428300500
11938a4501361
123ab988b7470
1319b264b8929
14ba3ad98028
15648d222850
hex3871da4cd4

242428300500 has 48 divisors (see below), whose sum is σ = 705951215424. Its totient is φ = 64647546400.

The previous prime is 242428300489. The next prime is 242428300519. The reversal of 242428300500 is 5003824242.

242428300500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 80807934 + ... + 80810933.

It is an arithmetic number, because the mean of its divisors is an integer number (14707316988).

Almost surely, 2242428300500 is an apocalyptic number.

242428300500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242428300500 is an abundant number, since it is smaller than the sum of its proper divisors (463522914924).

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

242428300500 is a wasteful number, since it uses less digits than its factorization.

242428300500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161618889 (or 161618877 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 242428300500 in words is "two hundred forty-two billion, four hundred twenty-eight million, three hundred thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 161618867 323237734 484856601 646475468 808094335 969713202 1616188670 1939426404 2424283005 3232377340 4040471675 4848566010 8080943350 9697132020 12121415025 16161886700 20202358375 24242830050 40404716750 48485660100 60607075125 80809433500 121214150250 242428300500