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242024160540 = 22358594695851
BaseRepresentation
bin1110000101100111000…
…0111001110100011100
3212010201002011020020210
43201121300321310130
512431131141114130
6303103453412420
723325404264331
oct3413160716434
9763632136223
10242024160540
1193707368a98
123aaa549a110
1319a90857b66
14b9dd436988
1564679e25b0
hex3859c39d1c

242024160540 has 48 divisors (see below), whose sum is σ = 678456696960. Its totient is φ = 64464628800.

The previous prime is 242024160451. The next prime is 242024160541. The reversal of 242024160540 is 45061420242.

242024160540 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 junction number, because it is equal to n+sod(n) for n = 242024160498 and 242024160507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242024160541) 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, 2296386 + ... + 2399465.

It is an arithmetic number, because the mean of its divisors is an integer number (14134514520).

Almost surely, 2242024160540 is an apocalyptic number.

242024160540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242024160540 is an abundant number, since it is smaller than the sum of its proper divisors (436432536420).

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

242024160540 is a wasteful number, since it uses less digits than its factorization.

242024160540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696722 (or 4696720 counting only the distinct ones).

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

Adding to 242024160540 its reverse (45061420242), we get a palindrome (287085580782).

The spelling of 242024160540 in words is "two hundred forty-two billion, twenty-four million, one hundred sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 859 1718 2577 3436 4295 5154 8590 10308 12885 17180 25770 51540 4695851 9391702 14087553 18783404 23479255 28175106 46958510 56350212 70437765 93917020 140875530 281751060 4033736009 8067472018 12101208027 16134944036 20168680045 24202416054 40337360090 48404832108 60506040135 80674720180 121012080270 242024160540