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443402430314440 = 23529382243474409
BaseRepresentation
bin110010011010001011010110…
…0010110011111011111001000
32011010221212011202002112120011
41210310112230112133133020
5431104201134130030230
64211012133041041304
7162252524400336142
oct14464265426373710
92133855152075504
10443402430314440
11119310a07486a73
1241892440926234
131605489262450c
147b6cb1388dc92
15363ddac4eae2a
hex19345ac59f7c8

443402430314440 has 32 divisors (see below), whose sum is σ = 1032057380907000. Its totient is φ = 171245076534784.

The previous prime is 443402430314429. The next prime is 443402430314461. The reversal of 443402430314440 is 44413034204344.

It can be written as a sum of positive squares in 4 ways, for example, as 273788846392356 + 169613583922084 = 16546566^2 + 13023578^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 443402430314393 and 443402430314402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191121736045 + ... + 191121738364.

Almost surely, 2443402430314440 is an apocalyptic number.

443402430314440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

443402430314440 is an abundant number, since it is smaller than the sum of its proper divisors (588654950592560).

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

443402430314440 is a wasteful number, since it uses less digits than its factorization.

443402430314440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382243474449 (or 382243474445 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 443402430314440 its reverse (44413034204344), we get a palindrome (487815464518784).

The spelling of 443402430314440 in words is "four hundred forty-three trillion, four hundred two billion, four hundred thirty million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 382243474409 764486948818 1528973897636 1911217372045 3057947795272 3822434744090 7644869488180 11085060757861 15289738976360 22170121515722 44340243031444 55425303789305 88680486062888 110850607578610 221701215157220 443402430314440