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44400141441000 = 2333531644449683
BaseRepresentation
bin10100001100001101101101…
…01010001001011111101000
312211012121112012100000211000
422012012312222021133220
521304422442202103000
6234233050550035000
712231542616142242
oct1206066652113750
9184177465300730
1044400141441000
1113168aa3374824
124b91065648a60
131ba0bb90c4717
14ad6d9a6b9092
1551ee39c0e000
hex2861b6a897e8

44400141441000 has 128 divisors (see below), whose sum is σ = 153920490422400. Its totient is φ = 11840037710400.

The previous prime is 44400141440987. The next prime is 44400141441017. The reversal of 44400141441000 is 14414100444.

44400141441000 is a `hidden beast` number, since 4 + 4 + 400 + 14 + 144 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822197842 + ... + 822251841.

It is an arithmetic number, because the mean of its divisors is an integer number (1202503831425).

Almost surely, 244400141441000 is an apocalyptic number.

44400141441000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44400141441000 is an abundant number, since it is smaller than the sum of its proper divisors (109520348981400).

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

44400141441000 is a wasteful number, since it uses less digits than its factorization.

44400141441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644449713 (or 1644449693 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 44400141441000 its reverse (14414100444), we get a palindrome (44414555541444).

The spelling of 44400141441000 in words is "forty-four trillion, four hundred billion, one hundred forty-one million, four hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1800 2250 2700 3000 3375 4500 5400 6750 9000 13500 27000 1644449683 3288899366 4933349049 6577798732 8222248415 9866698098 13155597464 14800047147 16444496830 19733396196 24666745245 29600094294 32888993660 39466792392 41111242075 44400141441 49333490490 59200188588 65777987320 74000235735 82222484150 88800282882 98666980980 118400377176 123333726225 148000471470 164444968300 177600565764 197333961960 205556210375 222000707205 246667452450 296000942940 328889936600 355201131528 370001178675 411112420750 444001414410 493334904900 592001885880 616668631125 740002357350 822224841500 888002828820 986669809800 1110003536025 1233337262250 1480004714700 1644449683000 1776005657640 1850005893375 2220007072050 2466674524500 2960009429400 3700011786750 4440014144100 4933349049000 5550017680125 7400023573500 8880028288200 11100035360250 14800047147000 22200070720500 44400141441000