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1444507389 = 321326115569
BaseRepresentation
bin101011000011001…
…0110111011111101
310201200002120121200
41112012112323331
510424243214024
6355200450113
750540052543
oct12606267375
93650076550
101444507389
11681428866
12343919939
131a0362b00
14d9bb9d93
1586c372c9
hex56196efd

1444507389 has 36 divisors (see below), whose sum is σ = 2296543860. Its totient is φ = 874298880.

The previous prime is 1444507381. The next prime is 1444507399. The reversal of 1444507389 is 9837054441.

It can be written as a sum of positive squares in 6 ways, for example, as 680427225 + 764080164 = 26085^2 + 27642^2 .

It is not a de Polignac number, because 1444507389 - 23 = 1444507381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444507381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84997 + ... + 100565.

It is an arithmetic number, because the mean of its divisors is an integer number (63792885).

Almost surely, 21444507389 is an apocalyptic number.

It is an amenable number.

1444507389 is a deficient number, since it is larger than the sum of its proper divisors (852036471).

1444507389 is a wasteful number, since it uses less digits than its factorization.

1444507389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15662 (or 15646 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1444507389 is about 38006.6755846917. The cubic root of 1444507389 is about 1130.4202339686.

The spelling of 1444507389 in words is "one billion, four hundred forty-four million, five hundred seven thousand, three hundred eighty-nine".

Divisors: 1 3 9 13 39 61 117 169 183 507 549 793 1521 2379 7137 10309 15569 30927 46707 92781 140121 202397 607191 949709 1821573 2631161 2849127 7893483 8547381 12346217 23680449 37038651 111115953 160500821 481502463 1444507389