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442251425088 = 26321169799783
BaseRepresentation
bin1100110111110000011…
…11010011010101000000
31120021112021002011002200
412123320033103111000
524221212331100323
6535100102513200
743644255042234
oct6337017232500
91507467064080
10442251425088
11160615444430
1271865135800
133291cc891a5
14175957965c4
15b785da9443
hex66f83d3540

442251425088 has 84 divisors (see below), whose sum is σ = 1382873320608. Its totient is φ = 134015581440.

The previous prime is 442251425071. The next prime is 442251425117. The reversal of 442251425088 is 880524152244.

It is a happy number.

442251425088 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 514 + 2 + 50 + 88 = 666.

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 11 ways as a sum of consecutive naturals, for example, 34893556 + ... + 34906227.

Almost surely, 2442251425088 is an apocalyptic number.

442251425088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

442251425088 is an abundant number, since it is smaller than the sum of its proper divisors (940621895520).

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

442251425088 is a wasteful number, since it uses less digits than its factorization.

442251425088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69799812 (or 69799799 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 442251425088 in words is "four hundred forty-two billion, two hundred fifty-one million, four hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 69799783 139599566 209399349 279199132 418798698 558398264 628198047 767797613 837597396 1116796528 1256396094 1535595226 1675194792 2233593056 2303392839 2512792188 3071190452 3350389584 4467186112 4606785678 5025584376 6142380904 6700779168 6910178517 9213571356 10051168752 12284761808 13401558336 13820357034 18427142712 20102337504 24569523616 27640714068 36854285424 40204675008 49139047232 55281428136 73708570848 110562856272 147417141696 221125712544 442251425088