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444034132423431 = 311232130719461269
BaseRepresentation
bin110010011110110001100000…
…0101110110011001100000111
32011020012020201011001121000020
41210331203000232303030013
5431200023400400022211
64212214244145350223
7162346256511560664
oct14475430056631407
92136166634047006
10444034132423431
111195348aa897240
1241974958638373
131609c3151812a4
147b9151c252a6b
153650530611306
hex193d8c0bb3307

444034132423431 has 48 divisors (see below), whose sum is σ = 675686575751040. Its totient is φ = 257214130000960.

The previous prime is 444034132423417. The next prime is 444034132423433. The reversal of 444034132423431 is 134324231430444.

It is not a de Polignac number, because 444034132423431 - 213 = 444034132415239 is a prime.

It is a super-2 number, since 2×4440341324234312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444034132423433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13085665 + ... + 32546933.

It is an arithmetic number, because the mean of its divisors is an integer number (14076803661480).

Almost surely, 2444034132423431 is an apocalyptic number.

444034132423431 is a deficient number, since it is larger than the sum of its proper divisors (231652443327609).

444034132423431 is a wasteful number, since it uses less digits than its factorization.

444034132423431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19462636 (or 19462613 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

Adding to 444034132423431 its reverse (134324231430444), we get a palindrome (578358363853875).

The spelling of 444034132423431 in words is "four hundred forty-four trillion, thirty-four billion, one hundred thirty-two million, four hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 3 11 23 33 69 253 529 759 1307 1587 3921 5819 14377 17457 30061 43131 90183 330671 691403 992013 2074209 7605433 19461269 22816299 58383807 214073959 447609187 642221877 1342827561 4923701057 10295011301 14771103171 25435878583 30885033903 76307635749 113245124311 279794664413 339735372933 585025207409 839383993239 1755075622227 6435277281499 13455579770407 19305831844497 40366739311221 148011377474477 444034132423431