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8400406442 = 241102443981
BaseRepresentation
bin1111101001011010…
…00000011110101010
3210200102211212021112
413310231000132222
5114201001001232
63505321510322
7415112163611
oct76455003652
923612755245
108400406442
1136208a076a
1217653423a2
13a3b4976cc
14599936878
1534273e4b2
hex1f4b407aa

8400406442 has 8 divisors (see below), whose sum is σ = 12907941732. Its totient is φ = 4097759200.

The previous prime is 8400406439. The next prime is 8400406463. The reversal of 8400406442 is 2446040048.

It can be written as a sum of positive squares in 2 ways, for example, as 8284822441 + 115584001 = 91021^2 + 10751^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 8400406399 and 8400406408.

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 3 ways as a sum of consecutive naturals, for example, 51221909 + ... + 51222072.

Almost surely, 28400406442 is an apocalyptic number.

8400406442 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

8400406442 is a deficient number, since it is larger than the sum of its proper divisors (4507535290).

8400406442 is a wasteful number, since it uses less digits than its factorization.

8400406442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102444024.

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 8400406442 is about 91653.7311951892. The cubic root of 8400406442 is about 2032.8254993047.

The spelling of 8400406442 in words is "eight billion, four hundred million, four hundred six thousand, four hundred forty-two".

Divisors: 1 2 41 82 102443981 204887962 4200203221 8400406442