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14220405134145 = 335797155134513
BaseRepresentation
bin1100111011101111001000…
…1100100101001101000001
31212100110100111001212002000
43032323302030211031001
53330441342203243040
650124433002014213
72665250616155430
oct316736214451501
955313314055060
1014220405134145
114592926a78111
121718014aa7369
137c1c948691a2
143723b2575117
15199d8a968130
hexceef2325341

14220405134145 has 64 divisors (see below), whose sum is σ = 29190110154240. Its totient is φ = 6433738481664.

The previous prime is 14220405134099. The next prime is 14220405134171. The reversal of 14220405134145 is 54143150402241.

14220405134145 is a `hidden beast` number, since 1 + 4 + 2 + 20 + 40 + 513 + 41 + 45 = 666.

14220405134145 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 14220405134145 - 212 = 14220405130049 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77475592 + ... + 77658921.

It is an arithmetic number, because the mean of its divisors is an integer number (456095471160).

Almost surely, 214220405134145 is an apocalyptic number.

14220405134145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14220405134145 is an abundant number, since it is smaller than the sum of its proper divisors (14969705020095).

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

14220405134145 is a wasteful number, since it uses less digits than its factorization.

14220405134145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155134631 (or 155134625 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 14220405134145 its reverse (54143150402241), we get a palindrome (68363555536386).

The spelling of 14220405134145 in words is "fourteen trillion, two hundred twenty billion, four hundred five million, one hundred thirty-four thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 97 105 135 189 291 315 485 679 873 945 1455 2037 2619 3395 4365 6111 10185 13095 18333 30555 91665 155134513 465403539 775672565 1085941591 1396210617 2327017695 3257824773 4188631851 5429707955 6981053085 9773474319 15048047761 16289123865 20943159255 29320422957 45144143283 48867371595 75240238805 105336334327 135432429849 146602114785 225720716415 316009002981 406297289547 526681671635 677162149245 948027008943 1580045014905 2031486447735 2844081026829 4740135044715 14220405134145