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444317731 = 11132594051
BaseRepresentation
bin11010011110111…
…100000000100011
31010222001200100021
4122132330000203
51402221131411
6112031134311
714003431654
oct3236740043
91128050307
10444317731
11208895540
12104974397
137108a500
144301d52b
1529019a71
hex1a7bc023

444317731 has 24 divisors (see below), whose sum is σ = 533891520. Its totient is φ = 366444000.

The previous prime is 444317701. The next prime is 444317767. The reversal of 444317731 is 137713444.

It is not a de Polignac number, because 444317731 - 221 = 442220579 is a prime.

It is a super-2 number, since 2×4443177312 = 394836492161976722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444317701) 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, 107656 + ... + 111706.

It is an arithmetic number, because the mean of its divisors is an integer number (22245480).

Almost surely, 2444317731 is an apocalyptic number.

444317731 is a deficient number, since it is larger than the sum of its proper divisors (89573789).

444317731 is a wasteful number, since it uses less digits than its factorization.

444317731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147 (or 4134 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The square root of 444317731 is about 21078.8455803443. The cubic root of 444317731 is about 763.0702961331.

The spelling of 444317731 in words is "four hundred forty-four million, three hundred seventeen thousand, seven hundred thirty-one".

Divisors: 1 11 13 59 143 169 649 767 1859 4051 8437 9971 44561 52663 109681 239009 579293 684619 2629099 3107117 7530809 34178287 40392521 444317731