Search a number
-
+
1444428672 = 2737574969
BaseRepresentation
bin101011000011000…
…0011101110000000
310201122221120122020
41112012003232000
510424233204142
6355155041440
750536304211
oct12606035600
93648846566
101444428672
11681384705
123438a0280
131a033602b
14d9b99408
1586c1dcec
hex56183b80

1444428672 has 64 divisors (see below), whose sum is σ = 3842605200. Its totient is φ = 480743424.

The previous prime is 1444428617. The next prime is 1444428673. The reversal of 1444428672 is 2768244441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444428673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288204 + ... + 293172.

Almost surely, 21444428672 is an apocalyptic number.

1444428672 is a gapful number since it is divisible by the number (12) 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 1444428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921302600).

1444428672 is an abundant number, since it is smaller than the sum of its proper divisors (2398176528).

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

1444428672 is an equidigital number, since it uses as much as digits as its factorization.

1444428672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5743 (or 5731 counting only the distinct ones).

The product of its digits is 344064, while the sum is 42.

The square root of 1444428672 is about 38005.6400025049. The cubic root of 1444428672 is about 1130.3996998851.

The spelling of 1444428672 in words is "one billion, four hundred forty-four million, four hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 757 1514 2271 3028 4542 4969 6056 9084 9938 12112 14907 18168 19876 24224 29814 36336 39752 48448 59628 72672 79504 96896 119256 145344 159008 238512 290688 318016 477024 636032 954048 1908096 3761533 7523066 11284599 15046132 22569198 30092264 45138396 60184528 90276792 120369056 180553584 240738112 361107168 481476224 722214336 1444428672