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242450351544 = 23338189264529
BaseRepresentation
bin1110000111001100101…
…0101100010110111000
3212011210210002222101210
43201303022230112320
512433014242222134
6303214040243120
723342100661602
oct3416312542670
9764723088353
10242450351544
11939059a2665
123aba41704a0
1319b2ac3979b
14ba3dc98172
15649012b2e9
hex38732ac5b8

242450351544 has 32 divisors (see below), whose sum is σ = 606144042000. Its totient is φ = 80814362112.

The previous prime is 242450351527. The next prime is 242450351551. The reversal of 242450351544 is 445153054242.

242450351544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 784272 + ... + 1048800.

Almost surely, 2242450351544 is an apocalyptic number.

242450351544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242450351544 is an abundant number, since it is smaller than the sum of its proper divisors (363693690456).

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

242450351544 is a wasteful number, since it uses less digits than its factorization.

242450351544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302727 (or 302723 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

The spelling of 242450351544 in words is "two hundred forty-two billion, four hundred fifty million, three hundred fifty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 38189 76378 114567 152756 229134 264529 305512 458268 529058 793587 916536 1058116 1587174 2116232 3174348 6348696 10102097981 20204195962 30306293943 40408391924 60612587886 80816783848 121225175772 242450351544