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1444303420 = 225724731357
BaseRepresentation
bin101011000010110…
…0101001000111100
310201122201012211021
41112011211020330
510424220202140
6355152233524
750535243100
oct12605451074
93648635737
101444303420
116812a959a
1234383b8a4
131a02c1011
14d9b65900
1586be6b4a
hex5616523c

1444303420 has 72 divisors (see below), whose sum is σ = 3603410496. Its totient is φ = 484638336.

The previous prime is 1444303387. The next prime is 1444303429. The reversal of 1444303420 is 243034441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444303429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30382 + ... + 61738.

It is an arithmetic number, because the mean of its divisors is an integer number (50047368).

Almost surely, 21444303420 is an apocalyptic number.

1444303420 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 1444303420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801705248).

1444303420 is an abundant number, since it is smaller than the sum of its proper divisors (2159107076).

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

1444303420 is a wasteful number, since it uses less digits than its factorization.

1444303420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31427 (or 31418 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 1444303420 is about 38003.9921587193. The cubic root of 1444303420 is about 1130.3670251631.

Adding to 1444303420 its reverse (243034441), we get a palindrome (1687337861).

The spelling of 1444303420 in words is "one billion, four hundred forty-four million, three hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 49 70 94 98 140 188 196 235 245 329 470 490 658 940 980 1316 1645 2303 3290 4606 6580 9212 11515 23030 31357 46060 62714 125428 156785 219499 313570 438998 627140 877996 1097495 1473779 1536493 2194990 2947558 3072986 4389980 5895116 6145972 7368895 7682465 10316453 14737790 15364930 20632906 29475580 30729860 41265812 51582265 72215171 103164530 144430342 206329060 288860684 361075855 722151710 1444303420