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444021041331 = 3471355357781
BaseRepresentation
bin1100111011000011011…
…01110110100010110011
31120110002120220222020000
412131201231312202303
524233323341310311
6535551435521043
744036153402250
oct6354155664263
91513076828200
10444021041331
1116134333629a
12720798b9183
1332b4279b6aa
14176c2800427
15b83b410056
hex6761b768b3

444021041331 has 40 divisors (see below), whose sum is σ = 758115556704. Its totient is φ = 253703197440.

The previous prime is 444021041309. The next prime is 444021041381. The reversal of 444021041331 is 133140120444.

444021041331 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 210 + 413 + 31 = 666.

It is not a de Polignac number, because 444021041331 - 29 = 444021040819 is a prime.

It is a super-2 number, since 2×4440210413312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 444021041295 and 444021041304.

It is not an unprimeable number, because it can be changed into a prime (444021041381) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7655661 + ... + 7713441.

Almost surely, 2444021041331 is an apocalyptic number.

444021041331 is a deficient number, since it is larger than the sum of its proper divisors (314094515373).

444021041331 is a wasteful number, since it uses less digits than its factorization.

444021041331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71353 (or 71344 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 444021041331 its reverse (133140120444), we get a palindrome (577161161775).

The spelling of 444021041331 in words is "four hundred forty-four billion, twenty-one million, forty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 13553 40659 57781 94871 121977 173343 284613 365931 404467 520029 853839 1097793 1213401 1560087 2561517 3640203 4680261 7684551 10920609 32761827 783105893 2349317679 5481741251 7047953037 16445223753 21143859111 49335671259 63431577333 148007013777 444021041331