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422162141261224 = 237135728310123301
BaseRepresentation
bin101111111111101000100100…
…0011101111010110110101000
32001100202022021110221221221211
41133333101020131322312220
5420313201031130324344
64053510335500042504
7154631131260312520
oct13777211035726650
92040668243857854
10422162141261224
11112571a5aaa7951
123b421a26b33434
1315173946b39230
147636a843b6680
1533c16158e7334
hex17ff44877ada8

422162141261224 has 64 divisors (see below), whose sum is σ = 974237429370240. Its totient is φ = 167006266732800.

The previous prime is 422162141261191. The next prime is 422162141261261.

422162141261224 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36640374 + ... + 46763674.

It is an arithmetic number, because the mean of its divisors is an integer number (15222459833910).

Almost surely, 2422162141261224 is an apocalyptic number.

It is an amenable number.

422162141261224 is an abundant number, since it is smaller than the sum of its proper divisors (552075288109016).

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

422162141261224 is a wasteful number, since it uses less digits than its factorization.

422162141261224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10180610 (or 10180606 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The spelling of 422162141261224 in words is "four hundred twenty-two trillion, one hundred sixty-two billion, one hundred forty-one million, two hundred sixty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 57283 114566 229132 400981 458264 744679 801962 1489358 1603924 2978716 3207848 5212753 5957432 10123301 10425506 20246602 20851012 40493204 41702024 70863107 80986408 131602913 141726214 263205826 283452428 526411652 566904856 921220391 1052823304 1842440782 3684881564 7369763128 579893051183 1159786102366 2319572204732 4059251358281 4639144409464 7538609665379 8118502716562 15077219330758 16237005433124 30154438661516 32474010866248 52770267657653 60308877323032 105540535315306 211081070630612 422162141261224