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1444627120 = 24518057839
BaseRepresentation
bin101011000011011…
…0100001010110000
310201200022122212011
41112012310022300
510424311031440
6355203212304
750541061606
oct12606641260
93650278764
101444627120
116814aa812
12343977094
131a03a5461
14d9c0b876
1586c5c9ea
hex561b42b0

1444627120 has 20 divisors (see below), whose sum is σ = 3358758240. Its totient is φ = 577850816.

The previous prime is 1444627103. The next prime is 1444627127. The reversal of 1444627120 is 217264441.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (1444627127) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 9028840 + ... + 9028999.

It is an arithmetic number, because the mean of its divisors is an integer number (167937912).

Almost surely, 21444627120 is an apocalyptic number.

1444627120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444627120 is an abundant number, since it is smaller than the sum of its proper divisors (1914131120).

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

1444627120 is a wasteful number, since it uses less digits than its factorization.

1444627120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18057852 (or 18057846 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 1444627120 is about 38008.2506832398. The cubic root of 1444627120 is about 1130.4514655166.

It can be divided in two parts, 144 and 4627120, that added together give a palindrome (4627264).

The spelling of 1444627120 in words is "one billion, four hundred forty-four million, six hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 18057839 36115678 72231356 90289195 144462712 180578390 288925424 361156780 722313560 1444627120