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44110343440 = 2457335321397
BaseRepresentation
bin101001000101001011…
…100110110100010000
311012212010101121200201
4221011023212310100
51210314221442230
632133005424544
73121044506242
oct510513466420
9135763347621
1044110343440
1117786158999
12867056b154
13420c7c9747
1421c6446092
1512327a65ca
hexa452e6d10

44110343440 has 80 divisors (see below), whose sum is σ = 104260813488. Its totient is φ = 17352327168.

The previous prime is 44110343339. The next prime is 44110343441. The reversal of 44110343440 is 4434301144.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2636206336 + 41474137104 = 51344^2 + 203652^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 44110343399 and 44110343408.

It is not an unprimeable number, because it can be changed into a prime (44110343441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2050822 + ... + 2072218.

Almost surely, 244110343440 is an apocalyptic number.

44110343440 is a gapful number since it is divisible by the number (40) 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 44110343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52130406744).

44110343440 is an abundant number, since it is smaller than the sum of its proper divisors (60150470048).

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

44110343440 is a wasteful number, since it uses less digits than its factorization.

44110343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21836 (or 21830 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 44110343440 its reverse (4434301144), we get a palindrome (48544644584).

The spelling of 44110343440 in words is "forty-four billion, one hundred ten million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 353 365 584 706 730 1168 1412 1460 1765 2824 2920 3530 5648 5840 7060 14120 21397 25769 28240 42794 51538 85588 103076 106985 128845 171176 206152 213970 257690 342352 412304 427940 515380 855880 1030760 1561981 1711760 2061520 3123962 6247924 7553141 7809905 12495848 15106282 15619810 24991696 30212564 31239620 37765705 60425128 62479240 75531410 120850256 124958480 151062820 302125640 551379293 604251280 1102758586 2205517172 2756896465 4411034344 5513792930 8822068688 11027585860 22055171720 44110343440