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444431000412 = 223271763615081
BaseRepresentation
bin1100111011110100010…
…01101110001101011100
31120111011011100001100200
412131322021232031130
524240143314003122
6540100242423500
744052262113240
oct6357211561534
91514134301320
10444431000412
11161533793653
1272173061b90
1332ba96b9029
1417721038420
15b8623de5ac
hex677a26e35c

444431000412 has 36 divisors (see below), whose sum is σ = 1283911779696. Its totient is φ = 126980285760.

The previous prime is 444431000399. The next prime is 444431000413. The reversal of 444431000412 is 214000134444.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4444310004122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444431000413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 881807289 + ... + 881807792.

Almost surely, 2444431000412 is an apocalyptic number.

444431000412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

444431000412 is an abundant number, since it is smaller than the sum of its proper divisors (839480779284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444431000412 is a wasteful number, since it uses less digits than its factorization.

444431000412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763615098 (or 1763615093 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 444431000412 its reverse (214000134444), we get a palindrome (658431134856).

The spelling of 444431000412 in words is "four hundred forty-four billion, four hundred thirty-one million, four hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1763615081 3527230162 5290845243 7054460324 10581690486 12345305567 15872535729 21163380972 24690611134 31745071458 37035916701 49381222268 63490142916 74071833402 111107750103 148143666804 222215500206 444431000412