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14346936430225 = 527231234912
BaseRepresentation
bin1101000011000110100000…
…0011001010111010010001
31212210112221200000200110021
43100301220003022322101
53340030011211231400
650302520330503441
73010350313350400
oct320615003127221
955715850020407
1014346936430225
114631557655693
121738647b94b81
13800baac11299
143785770ab637
1519d2e400271a
hexd0c680cae91

14346936430225 has 81 divisors (see below), whose sum is σ = 21389957293563. Its totient is φ = 9517820508000.

The previous prime is 14346936430217. The next prime is 14346936430243. The reversal of 14346936430225 is 52203463964341.

It is a happy number.

The square root of 14346936430225 is 3787735.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5164897114881 + 9182039315344 = 2272641^2 + 3030188^2 .

It is not a de Polignac number, because 14346936430225 - 23 = 14346936430217 is a prime.

It is a super-3 number, since 3×143469364302253 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4109690730 + ... + 4109694220.

Almost surely, 214346936430225 is an apocalyptic number.

14346936430225 is the 3787735-th square number.

14346936430225 is the 1893868-th centered octagonal number.

It is an amenable number.

14346936430225 is a deficient number, since it is larger than the sum of its proper divisors (7043020863338).

14346936430225 is an frugal number, since it uses more digits than its factorization.

14346936430225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7068 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 52.

The spelling of 14346936430225 in words is "fourteen trillion, three hundred forty-six billion, nine hundred thirty-six million, four hundred thirty thousand, two hundred twenty-five".

Divisors: 1 5 7 25 31 35 49 155 175 217 245 775 961 1085 1225 1519 3491 4805 5425 6727 7595 17455 24025 24437 33635 37975 47089 87275 108221 122185 168175 171059 235445 541105 610925 757547 855295 1177225 2705525 3354851 3787735 4276475 5302829 12187081 16774255 18938675 23483957 26514145 60935405 83871275 85309567 117419785 132570725 164387699 304677025 377799511 426547835 587098925 597166969 821938495 1888997555 2132739175 2644596577 2985834845 4109692475 9444987775 11711784841 13222982885 14929174225 18512176039 58558924205 66114914425 81982493887 92560880195 292794621025 409912469435 462804400975 573877457209 2049562347175 2869387286045 14346936430225