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242420024242 = 211172331909091
BaseRepresentation
bin1110000111000101011…
…1000000001110110010
3212011201200001012011101
43201301113000032302
512432434011233432
6303211034235014
723341252131034
oct3416127001662
9764650035141
10242420024242
119389a869280
123ab95b85a6a
1319b2487b836
14ba39c41c54
15648c63a4e7
hex38715c03b2

242420024242 has 64 divisors (see below), whose sum is σ = 452422361088. Its totient is φ = 95999904000.

The previous prime is 242420024201. The next prime is 242420024251.

242420024242 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 242420024242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187884 + ... + 721207.

It is an arithmetic number, because the mean of its divisors is an integer number (7069099392).

Almost surely, 2242420024242 is an apocalyptic number.

242420024242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242420024242 is a deficient number, since it is larger than the sum of its proper divisors (210002336846).

242420024242 is a wasteful number, since it uses less digits than its factorization.

242420024242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909175.

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

It can be divided in two parts, 2424200 and 24242, that multiplied together give a square (58767456400 = 2424202).

The spelling of 242420024242 in words is "two hundred forty-two billion, four hundred twenty million, twenty-four thousand, two hundred forty-two".

Divisors: 1 2 11 17 22 23 31 34 46 62 187 253 341 374 391 506 527 682 713 782 1054 1426 4301 5797 7843 8602 11594 12121 15686 24242 133331 266662 909091 1818182 10000001 15454547 20000002 20909093 28181821 30909094 41818186 56363642 170000017 230000023 310000031 340000034 355454581 460000046 479090957 620000062 648181883 710909162 958181914 1296363766 3910000391 5270000527 7130000713 7820000782 10540001054 11019092011 14260001426 22038184022 121210012121 242420024242