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4440404402420 = 225753642793113
BaseRepresentation
bin100000010011101110010…
…1110100010000011110100
3120201111110102021101020212
41000213130232202003310
51040222422011334140
613235521004444552
7635544234443540
oct100473456420364
916644412241225
104440404402420
11146218a584588
125b86b6549758
1326296120c6ac
14114cb969ca20
157a789b1d765
hex409dcba20f4

4440404402420 has 96 divisors (see below), whose sum is σ = 10859851554048. Its totient is φ = 1493450929152.

The previous prime is 4440404402387. The next prime is 4440404402429. The reversal of 4440404402420 is 242044040444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4440404402429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47641784 + ... + 47734896.

It is an arithmetic number, because the mean of its divisors is an integer number (113123453688).

Almost surely, 24440404402420 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 4440404402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429925777024).

4440404402420 is an abundant number, since it is smaller than the sum of its proper divisors (6419447151628).

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

4440404402420 is a wasteful number, since it uses less digits than its factorization.

4440404402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99609 (or 99607 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 4440404402420 its reverse (242044040444), we get a palindrome (4682448442864).

The spelling of 4440404402420 in words is "four trillion, four hundred forty billion, four hundred four million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 3710 6427 7420 12854 25708 32135 44989 64270 89978 93113 128540 179956 186226 224945 340631 372452 449890 465565 651791 681262 899780 931130 1303582 1362524 1703155 1862260 2384417 2607164 3258955 3406310 4768834 4934989 6517910 6812620 9537668 9869978 11922085 13035820 19739956 23844170 24674945 34544923 47688340 49349890 69089846 98699780 138179692 172724615 345449230 598437251 690898460 1196874502 2393749004 2992186255 4189060757 5984372510 8378121514 11968745020 16756243028 20945303785 31717174303 41890607570 63434348606 83781215140 126868697212 158585871515 222020220121 317171743030 444040440242 634343486060 888080880484 1110101100605 2220202201210 4440404402420