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13344221412009 = 3337367272913337
BaseRepresentation
bin1100001000101111000110…
…0100111011101010101001
31202020200202201211001011000
43002023301210323222221
53222112431140141014
644214130052025213
72545042150335345
oct302136144735251
952220681731130
1013344221412009
114285286116394
1215b6248902209
1375a47c3012b7
14341c14242625
151821a923b509
hexc22f193baa9

13344221412009 has 64 divisors (see below), whose sum is σ = 20367830246400. Its totient is φ = 8628316038144.

The previous prime is 13344221411993. The next prime is 13344221412013. The reversal of 13344221412009 is 90021412244331.

13344221412009 is a `hidden beast` number, since 1 + 3 + 3 + 442 + 2 + 1 + 4 + 1 + 200 + 9 = 666.

13344221412009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13344221412009 - 24 = 13344221411993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13344221912009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1000534789 + ... + 1000548125.

It is an arithmetic number, because the mean of its divisors is an integer number (318247347600).

Almost surely, 213344221412009 is an apocalyptic number.

It is an amenable number.

13344221412009 is a deficient number, since it is larger than the sum of its proper divisors (7023608834391).

13344221412009 is a wasteful number, since it uses less digits than its factorization.

13344221412009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16479 (or 16473 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13344221412009 in words is "thirteen trillion, three hundred forty-four billion, two hundred twenty-one million, four hundred twelve thousand, nine".

Divisors: 1 3 9 27 37 111 333 367 999 1101 2729 3303 8187 9909 13337 13579 24561 40011 40737 73683 100973 120033 122211 302919 360099 366633 493469 908757 1001543 1480407 2726271 3004629 4441221 4894679 9013887 13323663 14684037 27041661 36396673 37057091 44052111 109190019 111171273 132156333 181103123 327570057 333513819 543309369 982710171 1000541457 1346676901 1629928107 4040030703 4889784321 12120092109 13357578991 36360276327 40072736973 120218210919 360654632757 494230422667 1482691268001 4448073804003 13344221412009