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444321023030331 = 3414384008512579
BaseRepresentation
bin110010100000110111000110…
…0101111100111010000111011
32011021012200020001100110011120
41211001232030233213100323
5431214223423343432311
64212554132103000323
7162406064104522356
oct14501561457472073
92137180201313146
10444321023030331
11119635540091467
1241a004837390a3
13160c03a6059155
147ba13762b129d
153657c21e60706
hex1941b8cbe743b

444321023030331 has 16 divisors (see below), whose sum is σ = 620990924991360. Its totient is φ = 282268602262080.

The previous prime is 444321023030309. The next prime is 444321023030351. The reversal of 444321023030331 is 133030320123444.

It is a happy number.

It is not a de Polignac number, because 444321023030331 - 25 = 444321023030299 is a prime.

It is a super-2 number, since 2×4443210230303312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444321023030292 and 444321023030301.

It is not an unprimeable number, because it can be changed into a prime (444321023030351) 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, 42004251001 + ... + 42004261578.

It is an arithmetic number, because the mean of its divisors is an integer number (38811932811960).

Almost surely, 2444321023030331 is an apocalyptic number.

444321023030331 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

444321023030331 is a deficient number, since it is larger than the sum of its proper divisors (176669901961029).

444321023030331 is a wasteful number, since it uses less digits than its factorization.

444321023030331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84008512666.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 444321023030331 its reverse (133030320123444), we get a palindrome (577351343153775).

The spelling of 444321023030331 in words is "four hundred forty-four trillion, three hundred twenty-one billion, twenty-three million, thirty thousand, three hundred thirty-one".

Divisors: 1 3 41 43 123 129 1763 5289 84008512579 252025537737 3444349015739 3612366040897 10333047047217 10837098122691 148107007676777 444321023030331