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10422442306440 = 233557314688599
BaseRepresentation
bin1001011110101010100111…
…1110001010101110001000
31100220101010220221220200000
42113222221332022232020
52331230130212301230
634100000501443000
72123665556611203
oct227525176125610
940811126856600
1010422442306440
113359150a7340a
121203b32a10460
135a7aa8150718
1428063daca93a
151311a1bd8b60
hex97aa9f8ab88

10422442306440 has 192 divisors, whose sum is σ = 35608691664000. Its totient is φ = 2741244913152.

The previous prime is 10422442306427. The next prime is 10422442306457. The reversal of 10422442306440 is 4460324422401.

10422442306440 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 2 + 4 + 4 + 2 + 3 + 0 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10422442306395 and 10422442306404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6634740 + ... + 8053859.

It is an arithmetic number, because the mean of its divisors is an integer number (185461935750).

Almost surely, 210422442306440 is an apocalyptic number.

10422442306440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10422442306440 is an abundant number, since it is smaller than the sum of its proper divisors (25186249357560).

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

10422442306440 is a wasteful number, since it uses less digits than its factorization.

10422442306440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14688698 (or 14688682 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 10422442306440 its reverse (4460324422401), we get a palindrome (14882766728841).

The spelling of 10422442306440 in words is "ten trillion, four hundred twenty-two billion, four hundred forty-two million, three hundred six thousand, four hundred forty".