Search a number
-
+
44310341440 = 265615214357
BaseRepresentation
bin101001010001000110…
…100010011101000000
311020101001201120101001
4221101012202131000
51211221421411230
632204512221344
73126023454631
oct512106423500
9136331646331
1044310341440
111787903a3a2
12870753a854
134242082b61
142204c27888
1512451100ca
hexa511a2740

44310341440 has 112 divisors (see below), whose sum is σ = 107474241744. Its totient is φ = 17396121600.

The previous prime is 44310341437. The next prime is 44310341447. The reversal of 44310341440 is 4414301344.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 492129856 + 43818211584 = 22184^2 + 209328^2 .

It is a junction number, because it is equal to n+sod(n) for n = 44310341399 and 44310341408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44310341447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10167742 + ... + 10172098.

Almost surely, 244310341440 is an apocalyptic number.

44310341440 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 44310341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53737120872).

44310341440 is an abundant number, since it is smaller than the sum of its proper divisors (63163900304).

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

44310341440 is a wasteful number, since it uses less digits than its factorization.

44310341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4956 (or 4946 counting only the distinct ones).

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

Adding to 44310341440 its reverse (4414301344), we get a palindrome (48724642784).

The spelling of 44310341440 in words is "forty-four billion, three hundred ten million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 521 610 976 1042 1220 1952 2084 2440 2605 3904 4168 4357 4880 5210 8336 8714 9760 10420 16672 17428 19520 20840 21785 31781 33344 34856 41680 43570 63562 69712 83360 87140 127124 139424 158905 166720 174280 254248 265777 278848 317810 348560 508496 531554 635620 697120 1016992 1063108 1271240 1328885 1394240 2033984 2126216 2269997 2542480 2657770 4252432 4539994 5084960 5315540 8504864 9079988 10169920 10631080 11349985 17009728 18159976 21262160 22699970 36319952 42524320 45399940 72639904 85048640 90799880 138469817 145279808 181599760 276939634 363199520 553879268 692349085 726399040 1107758536 1384698170 2215517072 2769396340 4431034144 5538792680 8862068288 11077585360 22155170720 44310341440