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1441442313000 = 233253160160257
BaseRepresentation
bin10100111110011100101…
…010000011001100101000
312002210121121000102110100
4110332130222003030220
5142104033213004000
63022104531145400
7206066166334014
oct24763452031450
95083547012410
101441442313000
11506348675448
121b3440145260
13a5c09731481
144daa2581544
1527766598a00
hex14f9ca83328

1441442313000 has 96 divisors (see below), whose sum is σ = 4872075048360. Its totient is φ = 384384614400.

The previous prime is 1441442312939. The next prime is 1441442313041. The reversal of 1441442313000 is 3132441441.

1441442313000 is a `hidden beast` number, since 14 + 414 + 4 + 231 + 3 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 259164482724 + 1182277830276 = 509082^2 + 1087326^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 80071129 + ... + 80089128.

Almost surely, 21441442313000 is an apocalyptic number.

1441442313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1441442313000 is an abundant number, since it is smaller than the sum of its proper divisors (3430632735360).

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

1441442313000 is a wasteful number, since it uses less digits than its factorization.

1441442313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160160284 (or 160160267 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1441442313000 its reverse (3132441441), we get a palindrome (1444574754441).

The spelling of 1441442313000 in words is "one trillion, four hundred forty-one billion, four hundred forty-two million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 160160257 320320514 480480771 640641028 800801285 960961542 1281282056 1441442313 1601602570 1921923084 2402403855 2882884626 3203205140 3843846168 4004006425 4804807710 5765769252 6406410280 7207211565 8008012850 9609615420 11531538504 12012019275 14414423130 16016025700 19219230840 20020032125 24024038550 28828846260 32032051400 36036057825 40040064250 48048077100 57657692520 60060096375 72072115650 80080128500 96096154200 120120192750 144144231300 160160257000 180180289125 240240385500 288288462600 360360578250 480480771000 720721156500 1441442313000