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1416443605332 = 223753318158941
BaseRepresentation
bin10100100111001010100…
…111100011000101010100
312000102002101112111101120
4110213022213203011110
5141201334030332312
63002412154123540
7204222535664250
oct24471247430524
95012071474346
101416443605332
114a678a541368
121aa6241205b0
13a375455b262
144c7b0453260
1526ca1a7e28c
hex149ca9e3154

1416443605332 has 48 divisors (see below), whose sum is σ = 3848450562432. Its totient is φ = 397062357120.

The previous prime is 1416443605319. The next prime is 1416443605333. The reversal of 1416443605332 is 2335063446141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416443605333) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 159075019 + ... + 159083922.

It is an arithmetic number, because the mean of its divisors is an integer number (80176053384).

Almost surely, 21416443605332 is an apocalyptic number.

1416443605332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1416443605332 is an abundant number, since it is smaller than the sum of its proper divisors (2432006957100).

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

1416443605332 is a wasteful number, since it uses less digits than its factorization.

1416443605332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318159008 (or 318159006 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 1416443605332 in words is "one trillion, four hundred sixteen billion, four hundred forty-three million, six hundred five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 4452 318158941 636317882 954476823 1272635764 1908953646 2227112587 3817907292 4454225174 6681337761 8908450348 13362675522 16862423873 26725351044 33724847746 50587271619 67449695492 101174543238 118036967111 202349086476 236073934222 354110901333 472147868444 708221802666 1416443605332