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1444104424 = 237191499109
BaseRepresentation
bin101011000010011…
…0100100011101000
310201122100002212001
41112010310203220
510424142320144
6355144100344
750533453660
oct12604644350
93648302761
101444104424
11681183034
123437646b4
131a0251579
14d9b131a0
1586ba7bd4
hex561348e8

1444104424 has 64 divisors (see below), whose sum is σ = 3279600000. Its totient is φ = 582329088.

The previous prime is 1444104407. The next prime is 1444104461. The reversal of 1444104424 is 4244014441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1444104392 and 1444104401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153982 + ... + 163090.

It is an arithmetic number, because the mean of its divisors is an integer number (51243750).

Almost surely, 21444104424 is an apocalyptic number.

1444104424 is a gapful number since it is divisible by the number (14) 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 1444104424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639800000).

1444104424 is an abundant number, since it is smaller than the sum of its proper divisors (1835495576).

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

1444104424 is a wasteful number, since it uses less digits than its factorization.

1444104424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9290 (or 9286 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 1444104424 is about 38001.3739751604. The cubic root of 1444104424 is about 1130.3151088218.

Adding to 1444104424 its reverse (4244014441), we get a palindrome (5688118865).

The spelling of 1444104424 in words is "one billion, four hundred forty-four million, one hundred four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 149 152 266 298 532 596 1043 1064 1192 2086 2831 4172 5662 8344 9109 11324 18218 19817 22648 36436 39634 63763 72872 79268 127526 158536 173071 255052 346142 510104 692284 1211497 1357241 1384568 2422994 2714482 4845988 5428964 9500687 9691976 10857928 19001374 25787579 38002748 51575158 76005496 103150316 180513053 206300632 361026106 722052212 1444104424