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444424414410 = 232510069490421
BaseRepresentation
bin1100111011110011100…
…00100110010011001010
31120111010200221110001200
412131321300212103022
524240140122230120
6540055445325030
744052152123124
oct6357160462312
91514120843050
10444424414410
1116152aaa5479
1272170a06776
1332ba82213a2
1417720202214
15b861a3ce90
hex6779c264ca

444424414410 has 48 divisors (see below), whose sum is σ = 1155620592360. Its totient is φ = 118501165440.

The previous prime is 444424414409. The next prime is 444424414429. The reversal of 444424414410 is 14414424444.

It can be written as a sum of positive squares in 4 ways, for example, as 399652816761 + 44771597649 = 632181^2 + 211593^2 .

It is a super-3 number, since 3×4444244144103 (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 661000 + ... + 1151420.

Almost surely, 2444424414410 is an apocalyptic number.

444424414410 is an abundant number, since it is smaller than the sum of its proper divisors (711196177950).

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

444424414410 is a wasteful number, since it uses less digits than its factorization.

444424414410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500503 (or 500500 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 444424414410 its reverse (14414424444), we get a palindrome (458838838854).

The spelling of 444424414410 in words is "four hundred forty-four billion, four hundred twenty-four million, four hundred fourteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 10069 20138 30207 50345 60414 90621 100690 151035 181242 302070 453105 490421 906210 980842 1471263 2452105 2942526 4413789 4904210 7356315 8827578 14712630 22068945 44137890 4938049049 9876098098 14814147147 24690245245 29628294294 44442441441 49380490490 74070735735 88884882882 148141471470 222212207205 444424414410