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1444457785 = 517137312377
BaseRepresentation
bin101011000011000…
…1010110100111001
310201200000001120111
41112012022310321
510424240122120
6355155424321
750536455121
oct12606126471
93650001514
101444457785
116813a4571
123438b50a1
131a0346364
14d9ba5c81
1586c2775a
hex5618ad39

1444457785 has 16 divisors (see below), whose sum is σ = 1836796176. Its totient is φ = 1086711808.

The previous prime is 1444457771. The next prime is 1444457797. The reversal of 1444457785 is 5877544441.

It can be written as a sum of positive squares in 8 ways, for example, as 54361129 + 1390096656 = 7373^2 + 37284^2 .

It is not a de Polignac number, because 1444457785 - 27 = 1444457657 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110517 + ... + 122893.

It is an arithmetic number, because the mean of its divisors is an integer number (114799761).

Almost surely, 21444457785 is an apocalyptic number.

It is an amenable number.

1444457785 is a deficient number, since it is larger than the sum of its proper divisors (392338391).

1444457785 is a wasteful number, since it uses less digits than its factorization.

1444457785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13772.

The product of its digits is 2508800, while the sum is 49.

The square root of 1444457785 is about 38006.0230095178. The cubic root of 1444457785 is about 1130.4072943769.

The spelling of 1444457785 in words is "one billion, four hundred forty-four million, four hundred fifty-seven thousand, seven hundred eighty-five".

Divisors: 1 5 17 85 1373 6865 12377 23341 61885 116705 210409 1052045 16993621 84968105 288891557 1444457785