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1444313004300 = 2232522955337663
BaseRepresentation
bin10101000001000111110…
…000110111100100001100
312010002000122201122121100
4111001013300313210030
5142130423112114200
63023301440103100
7206230264655265
oct25010760674414
95102018648540
101444313004300
115075910462a1
121b3b01604a90
13a62763aca8a
144dc9592796c
15278835e8d00
hex15047c3790c

1444313004300 has 108 divisors (see below), whose sum is σ = 4683226504320. Its totient is φ = 371869088640.

The previous prime is 1444313004293. The next prime is 1444313004341. The reversal of 1444313004300 is 34003134441.

1444313004300 is a `hidden beast` number, since 1 + 4 + 44 + 313 + 0 + 0 + 4 + 300 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27642732 + ... + 27694931.

Almost surely, 21444313004300 is an apocalyptic number.

1444313004300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444313004300 is an abundant number, since it is smaller than the sum of its proper divisors (3238913500020).

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

1444313004300 is a wasteful number, since it uses less digits than its factorization.

1444313004300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55337712 (or 55337702 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1444313004300 its reverse (34003134441), we get a palindrome (1478316138741).

The spelling of 1444313004300 in words is "one trillion, four hundred forty-four billion, three hundred thirteen million, four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 870 900 1044 1305 1450 1740 2175 2610 2900 4350 5220 6525 8700 13050 26100 55337663 110675326 166012989 221350652 276688315 332025978 498038967 553376630 664051956 830064945 996077934 1106753260 1383441575 1604792227 1660129890 1992155868 2490194835 2766883150 3209584454 3320259780 4150324725 4814376681 4980389670 5533766300 6419168908 8023961135 8300649450 9628753362 9960779340 12450974175 14443130043 16047922270 16601298900 19257506724 24071883405 24901948350 28886260086 32095844540 40119805675 48143766810 49803896700 57772520172 72215650215 80239611350 96287533620 120359417025 144431300430 160479222700 240718834050 288862600860 361078251075 481437668100 722156502150 1444313004300