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444214021041 = 32749914130293
BaseRepresentation
bin1100111011011010011…
…10000000101110110001
31120110121001001100121200
412131231032000232301
524234222242133131
6540022532041413
744044015610310
oct6355516005661
91513531040550
10444214021041
1116143226385a
1272112463269
1332b7376847b
14177002b6277
15b84d32e2e6
hex676d380bb1

444214021041 has 24 divisors (see below), whose sum is σ = 734775288000. Its totient is φ = 253327874976.

The previous prime is 444214021039. The next prime is 444214021051. The reversal of 444214021041 is 140120412444.

It is a happy number.

444214021041 is a `hidden beast` number, since 4 + 442 + 1 + 4 + 0 + 210 + 4 + 1 = 666.

444214021041 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 444214021041 - 21 = 444214021039 is a prime.

It is a super-3 number, since 3×4442140210413 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444214020996 and 444214021014.

It is not an unprimeable number, because it can be changed into a prime (444214021051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7033710 + ... + 7096583.

It is an arithmetic number, because the mean of its divisors is an integer number (30615637000).

Almost surely, 2444214021041 is an apocalyptic number.

It is an amenable number.

444214021041 is a deficient number, since it is larger than the sum of its proper divisors (290561266959).

444214021041 is a wasteful number, since it uses less digits than its factorization.

444214021041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14130805 (or 14130802 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 444214021041 its reverse (140120412444), we get a palindrome (584334433485).

The spelling of 444214021041 in words is "four hundred forty-four billion, two hundred fourteen million, twenty-one thousand, forty-one".

Divisors: 1 3 7 9 21 63 499 1497 3493 4491 10479 31437 14130293 42390879 98912051 127172637 296736153 890208459 7051016207 21153048621 49357113449 63459145863 148071340347 444214021041