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242448149244 = 223714423200117
BaseRepresentation
bin1110000111001100001…
…0010010101011111100
3212011210121222002102010
43201303002102223330
512433013211233434
6303213521131220
723342043160110
oct3416302225374
9764717862363
10242448149244
1193904728a84
123aba3489b10
1319b2a648252
14ba3d883740
15648ed439e9
hex3873092afc

242448149244 has 48 divisors (see below), whose sum is σ = 646576455168. Its totient is φ = 69265750848.

The previous prime is 242448149243. The next prime is 242448149257. The reversal of 242448149244 is 442941844242.

242448149244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2424481492442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242448149193 and 242448149202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242448149243) 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, 1111474 + ... + 1311590.

It is an arithmetic number, because the mean of its divisors is an integer number (13470342816).

Almost surely, 2242448149244 is an apocalyptic number.

It is an amenable number.

242448149244 is an abundant number, since it is smaller than the sum of its proper divisors (404128305924).

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

242448149244 is a wasteful number, since it uses less digits than its factorization.

242448149244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214554 (or 214552 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 48.

The spelling of 242448149244 in words is "two hundred forty-two billion, four hundred forty-eight million, one hundred forty-nine thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 14423 28846 43269 57692 86538 100961 173076 200117 201922 302883 400234 403844 600351 605766 800468 1200702 1211532 1400819 2401404 2801638 4202457 5603276 8404914 16809828 2886287491 5772574982 8658862473 11545149964 17317724946 20204012437 34635449892 40408024874 60612037311 80816049748 121224074622 242448149244