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44246264244 = 22371341996703
BaseRepresentation
bin101001001101010010…
…000110100110110100
311020012121011002222120
4221031102012212310
51211104020423434
632154302555540
73124315016640
oct511522064664
9136177132876
1044246264244
1117845954236
1286a9b98bb0
134231a09160
1421da507c20
15123e6a4349
hexa4d4869b4

44246264244 has 96 divisors (see below), whose sum is σ = 127370772480. Its totient is φ = 11641373568.

The previous prime is 44246264233. The next prime is 44246264303.

44246264244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44246264196 and 44246264205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409197 + ... + 505899.

It is an arithmetic number, because the mean of its divisors is an integer number (1326778880).

Almost surely, 244246264244 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 44246264244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685386240).

44246264244 is an abundant number, since it is smaller than the sum of its proper divisors (83124508236).

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

44246264244 is a wasteful number, since it uses less digits than its factorization.

44246264244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97149 (or 97147 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 42.

The spelling of 44246264244 in words is "forty-four billion, two hundred forty-six million, two hundred sixty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 419 546 838 1092 1257 1676 2514 2933 5028 5447 5866 8799 10894 11732 16341 17598 21788 32682 35196 38129 65364 76258 96703 114387 152516 193406 228774 290109 386812 457548 580218 676921 1160436 1257139 1353842 2030763 2514278 2707684 3771417 4061526 5028556 7542834 8123052 8799973 15085668 17599946 26399919 35199892 40518557 52799838 81037114 105599676 121555671 162074228 243111342 283629899 486222684 526741241 567259798 850889697 1053482482 1134519596 1580223723 1701779394 2106964964 3160447446 3403558788 3687188687 6320894892 7374377374 11061566061 14748754748 22123132122 44246264244