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1441404424400 = 245273919072557
BaseRepresentation
bin10100111110011010011…
…001100001000011010000
312002210111221201111001212
4110332122121201003100
5142103444013040100
63022101055115252
7206065226311433
oct24763231410320
95083457644055
101441404424400
11506329247156
121b342b512b28
13a5c01926995
144da9b51b81a
15277630b2635
hex14f9a6610d0

1441404424400 has 120 divisors (see below), whose sum is σ = 3470835396960. Its totient is φ = 575254586880.

The previous prime is 1441404424387. The next prime is 1441404424433. The reversal of 1441404424400 is 44244041441.

It is a congruent number.

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, 563707922 + ... + 563710478.

It is an arithmetic number, because the mean of its divisors is an integer number (28923628308).

Almost surely, 21441404424400 is an apocalyptic number.

1441404424400 is a gapful number since it is divisible by the number (10) 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 1441404424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735417698480).

1441404424400 is an abundant number, since it is smaller than the sum of its proper divisors (2029430972560).

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

1441404424400 is a wasteful number, since it uses less digits than its factorization.

1441404424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5221 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 1441404424400 its reverse (44244041441), we get a palindrome (1485648465841).

The spelling of 1441404424400 in words is "one trillion, four hundred forty-one billion, four hundred four million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 739 1478 1907 2557 2956 3695 3814 5114 5912 7390 7628 9535 10228 11824 12785 14780 15256 18475 19070 20456 25570 29560 30512 36950 38140 40912 47675 51140 59120 63925 73900 76280 95350 102280 127850 147800 152560 190700 204560 255700 295600 381400 511400 762800 1022800 1409273 1889623 2818546 3779246 4876199 5637092 7046365 7558492 9448115 9752398 11274184 14092730 15116984 18896230 19504796 22548368 24380995 28185460 30233968 35231825 37792460 39009592 47240575 48761990 56370920 70463650 75584920 78019184 94481150 97523980 112741840 121904975 140927300 151169840 188962300 195047960 243809950 281854600 377924600 390095920 487619900 563709200 755849200 975239800 1950479600 3603511061 7207022122 14414044244 18017555305 28828088488 36035110610 57656176976 72070221220 90087776525 144140442440 180175553050 288280884880 360351106100 720702212200 1441404424400