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9445110444 = 2232721121719137
BaseRepresentation
bin10001100101111100…
…01111001010101100
3220101020122022202100
420302332033022230
5123320422013234
64201121255100
7453026054100
oct106276171254
926336568670
109445110444
114007578300
1219b7194490
13b76a57563
1465859d900
153a4301399
hex232f8f2ac

9445110444 has 648 divisors, whose sum is σ = 34272791280. Its totient is φ = 2171473920.

The previous prime is 9445110419. The next prime is 9445110491. The reversal of 9445110444 is 4440115449.

It is a happy number.

It is a super-2 number, since 2×94451104442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9445110399 and 9445110408.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 68942344 + ... + 68942480.

It is an arithmetic number, because the mean of its divisors is an integer number (52890110).

Almost surely, 29445110444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9445110444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136395640).

9445110444 is an abundant number, since it is smaller than the sum of its proper divisors (24827680836).

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

9445110444 is a wasteful number, since it uses less digits than its factorization.

9445110444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 9445110444 is about 97185.9580597938. The cubic root of 9445110444 is about 2113.8249200793.

The spelling of 9445110444 in words is "nine billion, four hundred forty-five million, one hundred ten thousand, four hundred forty-four".