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44341014344 = 23112591017687
BaseRepresentation
bin101001010010111011…
…100010111101001000
311020110012102220200112
4221102323202331020
51211302244424334
632211525453452
73126545255204
oct512273427510
9136405386615
1044341014344
111789438a400
128715871288
1342485321c3
142208d2db04
151247b6d4ce
hexa52ee2f48

44341014344 has 96 divisors (see below), whose sum is σ = 93865867200. Its totient is φ = 19614672000.

The previous prime is 44341014313. The next prime is 44341014391.

44341014344 is nontrivially palindromic in base 10.

44341014344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×443410143442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44341014344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5764469 + ... + 5772155.

It is an arithmetic number, because the mean of its divisors is an integer number (977769450).

Almost surely, 244341014344 is an apocalyptic number.

44341014344 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 44341014344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46932933600).

44341014344 is an abundant number, since it is smaller than the sum of its proper divisors (49524852856).

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

44341014344 is a wasteful number, since it uses less digits than its factorization.

44341014344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7875 (or 7860 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 443410 and 14344, that added together give a palindrome (457754).

The spelling of 44341014344 in words is "forty-four billion, three hundred forty-one million, fourteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 59 88 101 118 121 202 236 242 404 472 484 649 808 968 1111 1298 2222 2596 4444 5192 5959 7139 7687 8888 11918 12221 14278 15374 23836 24442 28556 30748 47672 48884 57112 61496 65549 84557 97768 131098 169114 262196 338228 453533 524392 676456 721039 776387 907066 930127 1442078 1552774 1814132 1860254 2884156 3105548 3628264 3720508 4988863 5768312 6211096 7441016 8540257 9977726 17080514 19955452 34161028 39910904 45806833 54877493 68322056 91613666 93942827 109754986 183227332 187885654 219509972 366454664 375771308 439019944 503875163 751542616 1007750326 2015500652 4031001304 5542626793 11085253586 22170507172 44341014344