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14213104343001 = 3317314761348407
BaseRepresentation
bin1100111011010011111100…
…0010010001011111011001
31212022202111200100020102000
43032310333002101133121
53330331414202434001
650121224320431213
72664601655363154
oct316647702213731
955282450306360
1014213104343001
11458a81a959723
121716717a78509
137c13a0149325
14371cbcabac9b
15199aaea35a86
hexced3f0917d9

14213104343001 has 128 divisors (see below), whose sum is σ = 23889305272320. Its totient is φ = 8308228838400.

The previous prime is 14213104342973. The next prime is 14213104343107. The reversal of 14213104343001 is 10034340131241.

14213104343001 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 310 + 4 + 343 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 14213104343001 - 26 = 14213104342937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14213104343401) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40620340 + ... + 40968746.

It is an arithmetic number, because the mean of its divisors is an integer number (186635197440).

Almost surely, 214213104343001 is an apocalyptic number.

It is an amenable number.

14213104343001 is a deficient number, since it is larger than the sum of its proper divisors (9676200929319).

14213104343001 is a wasteful number, since it uses less digits than its factorization.

14213104343001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348572 (or 348566 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14213104343001 its reverse (10034340131241), we get a palindrome (24247444474242).

The spelling of 14213104343001 in words is "fourteen trillion, two hundred thirteen billion, one hundred four million, three hundred forty-three thousand, one".

Divisors: 1 3 9 17 27 31 47 51 61 93 141 153 183 279 423 459 527 549 799 837 1037 1269 1457 1581 1647 1891 2397 2867 3111 4371 4743 5673 7191 8601 9333 13113 14229 17019 21573 24769 25803 27999 32147 39339 48739 51057 74307 77409 88877 96441 146217 222921 266631 289323 348407 438651 668763 799893 867969 1045221 1315953 1510909 2399679 3135663 4532727 5922919 9406989 10800617 13598181 16375129 17768757 21252827 32401851 40794543 49125387 53306271 63758481 97205553 147376161 159918813 183610489 191275443 278377193 291616659 361298059 442128483 507628999 550831467 573826329 658837637 835131579 998882869 1083894177 1522886997 1652494401 1976512911 2505394737 2996648607 3251682531 4568660991 4957483203 5929538733 7516184211 8629692983 8989945821 9755047593 11200239829 13705982973 16981008773 17788616199 25889078949 26969837463 30965368939 33600719487 50943026319 77667236847 92896106817 100802158461 152829078957 233001710541 278688320451 302406475383 458487236871 526411271963 836064961353 1579233815889 4737701447667 14213104343001