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13843446480 = 243356409003
BaseRepresentation
bin11001110010010001…
…00011101011010000
31022201202212221112000
430321020203223100
5211322410241410
610205401034000
71000024232163
oct147110435320
938652787460
1013843446480
1159642a0266
122824185900
1313c8057066
149547a3ada
1556050bdc0
hex339223ad0

13843446480 has 80 divisors (see below), whose sum is σ = 47682989760. Its totient is φ = 3691585152.

The previous prime is 13843446451. The next prime is 13843446481. The reversal of 13843446480 is 8464434831.

13843446480 is a `hidden beast` number, since 1 + 3 + 84 + 34 + 464 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13843446481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3202342 + ... + 3206661.

It is an arithmetic number, because the mean of its divisors is an integer number (596037372).

Almost surely, 213843446480 is an apocalyptic number.

13843446480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13843446480 is an abundant number, since it is smaller than the sum of its proper divisors (33839543280).

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

13843446480 is a wasteful number, since it uses less digits than its factorization.

13843446480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409025 (or 6409013 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 13843446480 in words is "thirteen billion, eight hundred forty-three million, four hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 6409003 12818006 19227009 25636012 32045015 38454018 51272024 57681027 64090030 76908036 96135045 102544048 115362054 128180060 153816072 173043081 192270090 230724108 256360120 288405135 307632144 346086162 384540180 461448216 512720240 576810270 692172324 769080360 865215405 922896432 1153620540 1384344648 1538160720 1730430810 2307241080 2768689296 3460861620 4614482160 6921723240 13843446480