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44000412324 = 223116726318917
BaseRepresentation
bin101000111110101000…
…010000001010100100
311012120110112112112220
4220332220100022210
51210103101143244
632114041312340
73115241222331
oct507650201244
9135513475486
1044000412324
111772a0a4030
12863b7956b0
1341c2ab984b
1421b59cb988
151227cde319
hexa3ea102a4

44000412324 has 96 divisors (see below), whose sum is σ = 114110954496. Its totient is φ = 13083818880.

The previous prime is 44000412319. The next prime is 44000412373. The reversal of 44000412324 is 42321400044.

It is a happy number.

It is a super-2 number, since 2×440004123242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44000412294 and 44000412303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2316514 + ... + 2335430.

It is an arithmetic number, because the mean of its divisors is an integer number (1188655776).

Almost surely, 244000412324 is an apocalyptic number.

44000412324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44000412324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57055477248).

44000412324 is an abundant number, since it is smaller than the sum of its proper divisors (70110542172).

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

44000412324 is a wasteful number, since it uses less digits than its factorization.

44000412324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19265 (or 19263 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 44000412324 its reverse (42321400044), we get a palindrome (86321812368).

The spelling of 44000412324 in words is "forty-four billion, four hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 263 268 402 526 737 789 804 1052 1474 1578 2211 2893 2948 3156 4422 5786 8679 8844 11572 17358 17621 18917 34716 35242 37834 52863 56751 70484 75668 105726 113502 193831 208087 211452 227004 387662 416174 581493 624261 775324 832348 1162986 1248522 1267439 2325972 2497044 2534878 3802317 4975171 5069756 7604634 9950342 13941829 14925513 15209268 19900684 27883658 29851026 41825487 54726881 55767316 59702052 83650974 109453762 164180643 167301948 218907524 328361286 333336457 656722572 666672914 1000009371 1333345828 2000018742 3666701027 4000037484 7333402054 11000103081 14666804108 22000206162 44000412324