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444020013240 = 23357095218853
BaseRepresentation
bin1100111011000011010…
…01111011100010111000
31120110002111222201221120
412131201221323202320
524233323110410430
6535551401505240
744036141561016
oct6354151734270
91513074881846
10444020013240
111613427a3931
12720794a2220
1332b424cb75b
14176c26138b6
15b83b2aa610
hex6761a7b8b8

444020013240 has 64 divisors (see below), whose sum is σ = 1333939082400. Its totient is φ = 118238310912.

The previous prime is 444020013187. The next prime is 444020013251. The reversal of 444020013240 is 42310020444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 444020013240.

It is a congruent 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, 2524347 + ... + 2694506.

Almost surely, 2444020013240 is an apocalyptic number.

444020013240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444020013240 is an abundant number, since it is smaller than the sum of its proper divisors (889919069160).

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

444020013240 is a wasteful number, since it uses less digits than its factorization.

444020013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5219576 (or 5219572 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 444020013240 its reverse (42310020444), we get a palindrome (486330033684).

The spelling of 444020013240 in words is "four hundred forty-four billion, twenty million, thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 709 1418 2127 2836 3545 4254 5672 7090 8508 10635 14180 17016 21270 28360 42540 85080 5218853 10437706 15656559 20875412 26094265 31313118 41750824 52188530 62626236 78282795 104377060 125252472 156565590 208754120 313131180 626262360 3700166777 7400333554 11100500331 14800667108 18500833885 22201000662 29601334216 37001667770 44402001324 55502501655 74003335540 88804002648 111005003310 148006671080 222010006620 444020013240