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1444427145 = 32572655069
BaseRepresentation
bin101011000011000…
…0011010110001001
310201122221111112200
41112012003112021
510424233132040
6355155030413
750536266600
oct12606032611
93648844480
101444427145
11681383547
1234389b409
131a0335425
14d9b98a37
1586c1d630
hex56183589

1444427145 has 36 divisors (see below), whose sum is σ = 2912441220. Its totient is φ = 660308544.

The previous prime is 1444427143. The next prime is 1444427183. The reversal of 1444427145 is 5417244441.

1444427145 is a `hidden beast` number, since 144 + 442 + 71 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 695693376 + 748733769 = 26376^2 + 27363^2 .

It is not a de Polignac number, because 1444427145 - 21 = 1444427143 is a prime.

It is a super-3 number, since 3×14444271453 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1444427143) 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 35 ways as a sum of consecutive naturals, for example, 325330 + ... + 329739.

It is an arithmetic number, because the mean of its divisors is an integer number (80901145).

Almost surely, 21444427145 is an apocalyptic number.

1444427145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1444427145 is an abundant number, since it is smaller than the sum of its proper divisors (1468014075).

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

1444427145 is a wasteful number, since it uses less digits than its factorization.

1444427145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655094 (or 655084 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 1444427145 is about 38005.6199133760. The cubic root of 1444427145 is about 1130.3993015451.

The spelling of 1444427145 in words is "one billion, four hundred forty-four million, four hundred twenty-seven thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 655069 1965207 3275345 4585483 5895621 9826035 13756449 22927415 29478105 32098381 41269347 68782245 96295143 160491905 206346735 288885429 481475715 1444427145