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44179604144 = 24132138111831
BaseRepresentation
bin101001001001010011…
…110100001010110000
311020000221201102111222
4221021103310022300
51210434434313034
632143522124212
73122545303424
oct511123641260
9136027642458
1044179604144
1117811264545
12868b7b0668
134220c69900
1421d1714b84
1512388d812e
hexa494f42b0

44179604144 has 60 divisors (see below), whose sum is σ = 92763897552. Its totient is φ = 20374099200.

The previous prime is 44179604143. The next prime is 44179604153. The reversal of 44179604144 is 44140697144.

It is a junction number, because it is equal to n+sod(n) for n = 44179604095 and 44179604104.

It is not an unprimeable number, because it can be changed into a prime (44179604141) 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, 3728309 + ... + 3740139.

Almost surely, 244179604144 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 44179604144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46381948776).

44179604144 is an abundant number, since it is smaller than the sum of its proper divisors (48584293408).

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

44179604144 is a wasteful number, since it uses less digits than its factorization.

44179604144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13246 (or 13227 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 44179604144 in words is "forty-four billion, one hundred seventy-nine million, six hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 1381 2704 2762 5524 11048 11831 17953 22096 23662 35906 47324 71812 94648 143624 153803 189296 233389 287248 307606 466778 615212 933556 1230424 1867112 1999439 2460848 3734224 3998878 7997756 15995512 16338611 31991024 32677222 65354444 130708888 212401943 261417776 424803886 849607772 1699215544 2761225259 3398431088 5522450518 11044901036 22089802072 44179604144