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4441103302224 = 2431013972307479
BaseRepresentation
bin100000010100000011001…
…1000100111111001010000
3120201120021010101011112210
41000220012120213321100
51040230334421132344
613240114212352120
7635600452133361
oct100500630477120
916646233334483
104441103302224
111462509042326
125b8870615640
13262a42c55084
14114d4442bb68
157a7cb174db9
hex40a06627e50

4441103302224 has 80 divisors (see below), whose sum is σ = 11615632801920. Its totient is φ = 1462018060800.

The previous prime is 4441103302199. The next prime is 4441103302283. The reversal of 4441103302224 is 4222033011444.

It is a junction number, because it is equal to n+sod(n) for n = 4441103302191 and 4441103302200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770917 + ... + 3078395.

It is an arithmetic number, because the mean of its divisors is an integer number (145195410024).

Almost surely, 24441103302224 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 4441103302224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5807816400960).

4441103302224 is an abundant number, since it is smaller than the sum of its proper divisors (7174529499696).

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

4441103302224 is a wasteful number, since it uses less digits than its factorization.

4441103302224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307988 (or 2307982 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4441103302224 its reverse (4222033011444), we get a palindrome (8663136313668).

The spelling of 4441103302224 in words is "four trillion, four hundred forty-one billion, one hundred three million, three hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 397 404 606 794 808 1191 1212 1588 1616 2382 2424 3176 4764 4848 6352 9528 19056 40097 80194 120291 160388 240582 320776 481164 641552 962328 1924656 2307479 4614958 6922437 9229916 13844874 18459832 27689748 36919664 55379496 110758992 233055379 466110758 699166137 916069163 932221516 1398332274 1832138326 1864443032 2748207489 2796664548 3664276652 3728886064 5496414978 5593329096 7328553304 10992829956 11186658192 14657106608 21985659912 43971319824 92522985463 185045970926 277568956389 370091941852 555137912778 740183883704 1110275825556 1480367767408 2220551651112 4441103302224