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44131102224 = 24311401208433
BaseRepresentation
bin101001000110011010…
…110010111000010000
311012220120110021101120
4221012122302320100
51210340030232344
632135030402240
73121416115416
oct510632627020
9135816407346
1044131102224
1117796947310
128677500380
134213bb7351
1421c90cb2b6
151234507219
hexa466b2e10

44131102224 has 80 divisors (see below), whose sum is σ = 124680216384. Its totient is φ = 13339648000.

The previous prime is 44131102219. The next prime is 44131102259. The reversal of 44131102224 is 42220113144.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 44131102194 and 44131102203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107512 + ... + 315944.

Almost surely, 244131102224 is an apocalyptic number.

44131102224 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 44131102224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62340108192).

44131102224 is an abundant number, since it is smaller than the sum of its proper divisors (80549114160).

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

44131102224 is a wasteful number, since it uses less digits than its factorization.

44131102224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208856 (or 208850 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 44131102224 its reverse (42220113144), we get a palindrome (86351215368).

The spelling of 44131102224 in words is "forty-four billion, one hundred thirty-one million, one hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 401 528 802 1203 1604 2406 3208 4411 4812 6416 8822 9624 13233 17644 19248 26466 35288 52932 70576 105864 208433 211728 416866 625299 833732 1250598 1667464 2292763 2501196 3334928 4585526 5002392 6878289 9171052 10004784 13756578 18342104 27513156 36684208 55026312 83581633 110052624 167163266 250744899 334326532 501489798 668653064 919397963 1002979596 1337306128 1838795926 2005959192 2758193889 3677591852 4011918384 5516387778 7355183704 11032775556 14710367408 22065551112 44131102224