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1244441430 = 2325411632069
BaseRepresentation
bin100101000101100…
…1010101101010110
310012201122011201100
41022023022231112
510022034111210
6323252410530
742560402061
oct11213125526
93181564640
101244441430
115895002a1
122a8916a46
1316aa8479b
14bb3bb8d8
15743b85c0
hex4a2cab56

1244441430 has 96 divisors (see below), whose sum is σ = 3336409440. Its totient is φ = 321615360.

The previous prime is 1244441413. The next prime is 1244441441. The reversal of 1244441430 is 341444421.

1244441430 is a `hidden beast` number, since 1 + 244 + 4 + 414 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1244441394 and 1244441403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 600436 + ... + 602504.

It is an arithmetic number, because the mean of its divisors is an integer number (34754265).

Almost surely, 21244441430 is an apocalyptic number.

1244441430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1244441430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668204720).

1244441430 is an abundant number, since it is smaller than the sum of its proper divisors (2091968010).

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

1244441430 is a wasteful number, since it uses less digits than its factorization.

1244441430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1244441430 is about 35276.6414217680. The cubic root of 1244441430 is about 1075.6182288506.

Adding to 1244441430 its reverse (341444421), we get a palindrome (1585885851).

The spelling of 1244441430 in words is "one billion, two hundred forty-four million, four hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 163 205 246 326 369 410 489 615 738 815 978 1230 1467 1630 1845 2069 2445 2934 3690 4138 4890 6207 6683 7335 10345 12414 13366 14670 18621 20049 20690 31035 33415 37242 40098 60147 62070 66830 84829 93105 100245 120294 169658 186210 200490 254487 300735 337247 424145 508974 601470 674494 763461 848290 1011741 1272435 1526922 1686235 2023482 2544870 3035223 3372470 3817305 5058705 6070446 7634610 10117410 13827127 15176115 27654254 30352230 41481381 69135635 82962762 124444143 138271270 207406905 248888286 414813810 622220715 1244441430