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44440515540 = 2235582711057
BaseRepresentation
bin101001011000110111…
…000111001111010100
311020201010200002200000
4221120313013033110
51212003232444130
632225442251300
73132164102151
oct513067071724
9136633602600
1044440515540
11179355700a3
128743056b30
13426302c955
142218231228
151251775260
hexa58dc73d4

44440515540 has 144 divisors (see below), whose sum is σ = 139977294912. Its totient is φ = 11835403776.

The previous prime is 44440515517. The next prime is 44440515599. The reversal of 44440515540 is 4551504444.

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 = 44440515495 and 44440515504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4013692 + ... + 4024748.

It is an arithmetic number, because the mean of its divisors is an integer number (972064548).

Almost surely, 244440515540 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 44440515540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69988647456).

44440515540 is an abundant number, since it is smaller than the sum of its proper divisors (95536779372).

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

44440515540 is a wasteful number, since it uses less digits than its factorization.

44440515540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11908 (or 11894 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 44440515540 in words is "forty-four billion, four hundred forty million, five hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 827 972 1215 1620 1654 2430 2481 3308 4135 4860 4962 7443 8270 9924 11057 12405 14886 16540 22114 22329 24810 29772 33171 37215 44228 44658 49620 55285 66342 66987 74430 89316 99513 110570 111645 132684 133974 148860 165855 199026 200961 221140 223290 267948 298539 331710 334935 398052 401922 446580 497565 597078 663420 669870 803844 895617 995130 1004805 1194156 1339740 1492695 1791234 1990260 2009610 2686851 2985390 3582468 4019220 4478085 5373702 5970780 8956170 9144139 10747404 13434255 17912340 18288278 26868510 27432417 36576556 45720695 53737020 54864834 82297251 91441390 109729668 137162085 164594502 182882780 246891753 274324170 329189004 411486255 493783506 548648340 740675259 822972510 987567012 1234458765 1481350518 1645945020 2222025777 2468917530 2962701036 3703376295 4444051554 4937835060 7406752590 8888103108 11110128885 14813505180 22220257770 44440515540