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422144498952 = 233211269612
BaseRepresentation
bin1100010010010011100…
…01011101110100001000
31111100121222100110202200
412021021301131310020
523404022442431302
6521532553400200
742333064015311
oct6111161356410
91440558313680
10422144498952
11153037623200
1269993409060
1330a673b4367
14166091d9608
15aeaaa6b81c
hex6249c5dd08

422144498952 has 108 divisors (see below), whose sum is σ = 1256874496605. Its totient is φ = 127904198400.

The previous prime is 422144498879. The next prime is 422144498953. The reversal of 422144498952 is 259894441224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

422144498952 is a `hidden beast` number, since 4 + 2 + 2 + 144 + 498 + 9 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 384978057156 + 37166441796 = 620466^2 + 192786^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=459426.

It is not an unprimeable number, because it can be changed into a prime (422144498953) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 60640752 + ... + 60647712.

Almost surely, 2422144498952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422144498952

422144498952 is an abundant number, since it is smaller than the sum of its proper divisors (834729997653).

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

422144498952 is an equidigital number, since it uses as much as digits as its factorization.

422144498952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13956 (or 6977 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 422144498952 in words is "four hundred twenty-two billion, one hundred forty-four million, four hundred ninety-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 6961 8712 13922 20883 27844 41766 55688 62649 76571 83532 125298 153142 167064 229713 250596 306284 459426 501192 612568 689139 842281 918852 1378278 1684562 1837704 2526843 2756556 3369124 5053686 5513112 6738248 7580529 10107372 15161058 20214744 30322116 48455521 60644232 96911042 145366563 193822084 290733126 387644168 436099689 533010731 581466252 872199378 1066021462 1162932504 1599032193 1744398756 2132042924 3198064386 3488797512 4264085848 4797096579 5863118041 6396128772 9594193158 11726236082 12792257544 17589354123 19188386316 23452472164 35178708246 38376772632 46904944328 52768062369 70357416492 105536124738 140714832984 211072249476 422144498952