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450404440001 = 37101929129737
BaseRepresentation
bin1101000110111100011…
…00100101011111000001
31121001120110102012222222
412203132030211133001
524334412014040001
6542525110140425
744353304400065
oct6433614453701
91531513365888
10450404440001
1116401962318a
127335b651715
133361c115579
1417b2a4d1aa5
15bab1a2c61b
hex68de3257c1

450404440001 has 16 divisors (see below), whose sum is σ = 467663973840. Its totient is φ = 433422028800.

The previous prime is 450404439983. The next prime is 450404440007. The reversal of 450404440001 is 100044404054.

It can be written as a sum of positive squares in 8 ways, for example, as 30293054401 + 420111385600 = 174049^2 + 648160^2 .

It is a cyclic number.

It is not a de Polignac number, because 450404440001 - 210 = 450404438977 is a prime.

It is a super-2 number, since 2×4504044400012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (450404440007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3406805 + ... + 3536541.

It is an arithmetic number, because the mean of its divisors is an integer number (29228998365).

Almost surely, 2450404440001 is an apocalyptic number.

It is an amenable number.

450404440001 is a deficient number, since it is larger than the sum of its proper divisors (17259533839).

450404440001 is a wasteful number, since it uses less digits than its factorization.

450404440001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130804.

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 450404440001 its reverse (100044404054), we get a palindrome (550448844055).

The spelling of 450404440001 in words is "four hundred fifty billion, four hundred four million, four hundred forty thousand, one".

Divisors: 1 37 101 929 3737 34373 93829 129737 3471673 4800269 13103437 120525673 484827169 4459449901 12173092973 450404440001