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13310444314000 = 245323071288467
BaseRepresentation
bin1100000110110001010001…
…0011100001110110010000
31202010110120202020200101001
43001230110103201312100
53221034242221022000
644150422251351344
72542435134624061
oct301542423416620
952113522220331
1013310444314000
114271a228a3759
1215ab7a0a52554
13757228560082
1434032c308568
1518137dc1c46a
hexc1b144e1d90

13310444314000 has 80 divisors (see below), whose sum is σ = 32186160953856. Its totient is φ = 5323928496000.

The previous prime is 13310444313983. The next prime is 13310444314001. The reversal of 13310444314000 is 41344401331.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13310444314000.

It is not an unprimeable number, because it can be changed into a prime (13310444314001) 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, 45997767 + ... + 46286233.

Almost surely, 213310444314000 is an apocalyptic number.

13310444314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310444314000 is an abundant number, since it is smaller than the sum of its proper divisors (18875716639856).

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

13310444314000 is a wasteful number, since it uses less digits than its factorization.

13310444314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311561 (or 311545 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13310444314000 its reverse (41344401331), we get a palindrome (13351788715331).

The spelling of 13310444314000 in words is "thirteen trillion, three hundred ten billion, four hundred forty-four million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 23071 46142 92284 115355 184568 230710 288467 369136 461420 576775 576934 922840 1153550 1153868 1442335 1845680 2307100 2307736 2883875 2884670 4614200 4615472 5767750 5769340 7211675 9228400 11535500 11538680 14423350 23071000 23077360 28846700 36058375 46142000 57693400 72116750 115386800 144233500 288467000 576934000 6655222157 13310444314 26620888628 33276110785 53241777256 66552221570 106483554512 133104443140 166380553925 266208886280 332761107850 532417772560 665522215700 831902769625 1331044431400 1663805539250 2662088862800 3327611078500 6655222157000 13310444314000