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444021110021 = 71311138114561
BaseRepresentation
bin1100111011000011011…
…10000111010100000101
31120110002121001110110002
412131201232013110011
524233323401010041
6535551441211045
744036154106436
oct6354156072405
91513077043402
10444021110021
11161343382965
1272079930a85
1332b427c3a38
14176c281b48d
15b83b42559b
hex6761b87505

444021110021 has 16 divisors (see below), whose sum is σ = 452080901376. Its totient is φ = 436013760000.

The previous prime is 444021109999. The next prime is 444021110023. The reversal of 444021110021 is 120011120444.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444021110021 is a prime.

It is a super-2 number, since 2×4440211100212 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444021109975 and 444021110002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444021110023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30486581 + ... + 30501141.

It is an arithmetic number, because the mean of its divisors is an integer number (28255056336).

Almost surely, 2444021110021 is an apocalyptic number.

It is an amenable number.

444021110021 is a deficient number, since it is larger than the sum of its proper divisors (8059791355).

444021110021 is a wasteful number, since it uses less digits than its factorization.

444021110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16324.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 444021110021 its reverse (120011120444), we get a palindrome (564032230465).

The spelling of 444021110021 in words is "four hundred forty-four billion, twenty-one million, one hundred ten thousand, twenty-one".

Divisors: 1 71 311 1381 14561 22081 98051 429491 1033831 4528471 20108741 30493861 321521441 1427720611 6253818451 444021110021