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14342406480 = 243356640003
BaseRepresentation
bin11010101101101111…
…11100000101010000
31101000112202201222000
431112313330011100
5213333124001410
610331103314000
71015263305103
oct152667740520
941015681860
1014342406480
11609aa072a6
1229432ab900
13147753696c
149a0b6873a
1558e21bdc0
hex356dfc150

14342406480 has 80 divisors (see below), whose sum is σ = 49401629760. Its totient is φ = 3824641152.

The previous prime is 14342406467. The next prime is 14342406497. The reversal of 14342406480 is 8460424341.

14342406480 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 2 + 4 + 0 + 648 + 0 = 666.

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

It is a super-3 number, since 3×143424064803 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3317842 + ... + 3322161.

It is an arithmetic number, because the mean of its divisors is an integer number (617520372).

Almost surely, 214342406480 is an apocalyptic number.

14342406480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14342406480 is an abundant number, since it is smaller than the sum of its proper divisors (35059223280).

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

14342406480 is a wasteful number, since it uses less digits than its factorization.

14342406480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6640025 (or 6640013 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 14342406480 in words is "fourteen billion, three hundred forty-two million, four hundred 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 6640003 13280006 19920009 26560012 33200015 39840018 53120024 59760027 66400030 79680036 99600045 106240048 119520054 132800060 159360072 179280081 199200090 239040108 265600120 298800135 318720144 358560162 398400180 478080216 531200240 597600270 717120324 796800360 896400405 956160432 1195200540 1434240648 1593600720 1792800810 2390401080 2868481296 3585601620 4780802160 7171203240 14342406480