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442458854244 = 2233113710065949
BaseRepresentation
bin1100111000001001001…
…10100101001101100100
31120022001201101122102000
412130010212211031210
524222123431313434
6535132432445300
743652354131041
oct6340446451544
91508051348360
10442458854244
11160711540a90
12719026a9830
1332953c44b34
14175b51501c8
15b7991ceb99
hex67049a5364

442458854244 has 96 divisors (see below), whose sum is σ = 1285220496000. Its totient is φ = 130454686080.

The previous prime is 442458854237. The next prime is 442458854269.

442458854244 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 58 + 8 + 542 + 44 = 666.

442458854244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4989019 + ... + 5076930.

It is an arithmetic number, because the mean of its divisors is an integer number (13387713500).

Almost surely, 2442458854244 is an apocalyptic number.

442458854244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442458854244 is an abundant number, since it is smaller than the sum of its proper divisors (842761641756).

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

442458854244 is a wasteful number, since it uses less digits than its factorization.

442458854244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10066010 (or 10066002 counting only the distinct ones).

The product of its digits is 26214400, while the sum is 54.

The spelling of 442458854244 in words is "four hundred forty-two billion, four hundred fifty-eight million, eight hundred fifty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 99 108 111 132 148 198 222 297 333 396 407 444 594 666 814 999 1188 1221 1332 1628 1998 2442 3663 3996 4884 7326 10989 14652 21978 43956 10065949 20131898 30197847 40263796 60395694 90593541 110725439 120791388 181187082 221450878 271780623 332176317 362374164 372440113 442901756 543561246 664352634 744880226 996528951 1087122492 1117320339 1328705268 1489760452 1993057902 2234640678 2989586853 3351961017 3986115804 4096841243 4469281356 5979173706 6703922034 8193682486 10055883051 11958347412 12290523729 13407844068 16387364972 20111766102 24581047458 36871571187 40223532204 49162094916 73743142374 110614713561 147486284748 221229427122 442458854244