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4442544452444 = 22719232115313691
BaseRepresentation
bin100000010100101110001…
…0010001011001101011100
3120201200222120011011222212
41000221130102023031130
51040241312334434234
613240513213255552
7635651251534460
oct100513422131534
916650876134885
104442544452444
11146308858786a
125b8bb31945b8
13262c126b0a97
1411503d9b24a0
157a8629475ce
hex40a5c48b35c

4442544452444 has 144 divisors (see below), whose sum is σ = 9786239796480. Its totient is φ = 1723694100480.

The previous prime is 4442544452429. The next prime is 4442544452447.

4442544452444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4442544452392 and 4442544452401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442544452447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324479639 + ... + 324493329.

Almost surely, 24442544452444 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 4442544452444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893119898240).

4442544452444 is an abundant number, since it is smaller than the sum of its proper divisors (5343695344036).

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

4442544452444 is a wasteful number, since it uses less digits than its factorization.

4442544452444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14920 (or 14895 counting only the distinct ones).

The product of its digits is 26214400, while the sum is 50.

The spelling of 4442544452444 in words is "four trillion, four hundred forty-two billion, five hundred forty-four million, four hundred fifty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 322 437 529 532 644 874 1058 1153 1748 2116 2306 3059 3703 4612 6118 7406 8071 10051 12236 13691 14812 16142 20102 21907 26519 27382 32284 40204 43814 53038 54764 70357 87628 95837 106076 140714 153349 185633 191674 260129 281428 306698 314893 371266 383348 503861 520258 609937 613396 629786 742532 1007722 1040516 1219874 1259572 1820903 2015444 2204251 2439748 3527027 3641806 4269559 4408502 5982967 7054054 7242539 7283612 8539118 8817004 11588803 11965934 14108108 14485078 15785723 17078236 23177606 23931868 28970156 31571446 41880769 46355212 50697773 63142892 81121621 83761538 101395546 110500061 137608241 162243242 167523076 202791092 221000122 275216482 299928737 324486484 363071629 442000244 550432964 599857474 726143258 963257687 1199714948 1452286516 1926515374 2099501159 2541501403 3853030748 4199002318 5083002806 6898360951 8350647467 8398004636 10166005612 13796721902 16701294934 27593443804 33402589868 48288526657 58454532269 96577053314 116909064538 158662301873 193154106628 233818129076 317324603746 634649207492 1110636113111 2221272226222 4442544452444