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13414041001221 = 3719739286115901
BaseRepresentation
bin1100001100110011001100…
…1001100001110100000101
31202111100222120200122221120
43003030303021201310011
53224233423444014341
644310154140104153
72553063304136130
oct303146311416405
952440876618846
1013414041001221
114301954495133
121607893235059
13763c2825cab3
14345358cd5217
15183de3ab2066
hexc3333261d05

13414041001221 has 64 divisors (see below), whose sum is σ = 21554257766400. Its totient is φ = 7248919392000.

The previous prime is 13414041001213. The next prime is 13414041001279. The reversal of 13414041001221 is 12210014041431.

It is a happy number.

It is not a de Polignac number, because 13414041001221 - 23 = 13414041001213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13414041001191 and 13414041001200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414041001211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 843589371 + ... + 843605271.

It is an arithmetic number, because the mean of its divisors is an integer number (336785277600).

Almost surely, 213414041001221 is an apocalyptic number.

It is an amenable number.

13414041001221 is a deficient number, since it is larger than the sum of its proper divisors (8140216765179).

13414041001221 is a wasteful number, since it uses less digits than its factorization.

13414041001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19530.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 13414041001221 its reverse (12210014041431), we get a palindrome (25624055042652).

The spelling of 13414041001221 in words is "thirteen trillion, four hundred fourteen billion, forty-one million, one thousand, two hundred twenty-one".

Divisors: 1 3 7 19 21 57 133 399 739 2217 2861 5173 8583 14041 15519 15901 20027 42123 47703 54359 60081 98287 111307 163077 294861 302119 333921 380513 906357 1141539 2114279 2114833 6342837 6344499 11750839 14799953 35252517 40171301 44399859 45492761 82255873 120513903 136478283 223265941 246767619 281199107 318449327 669797823 843597321 864362459 955347981 1562861587 2593087377 4688584761 6050537213 18151611639 33619150379 100857451137 235334052653 638763857201 706002157959 1916291571603 4471347000407 13414041001221