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134324970718225 = 5272269212312
BaseRepresentation
bin11110100010101011111000…
…001010100000010000010001
3122121121100020011102221012211
4132202223320022200100101
5120101240020000440400
61153404012322152121
740202441665224100
oct3642537012402021
9577540204387184
10134324970718225
113988899a142301
12130950b4ab2641
1359c4a37632921
142525512b64037
15107e17a04ddba
hex7a2af82a0411

134324970718225 has 81 divisors (see below), whose sum is σ = 194637994145361. Its totient is φ = 91691594366400.

The previous prime is 134324970718199. The next prime is 134324970718229. The reversal of 134324970718225 is 522817079423431.

The square root of 134324970718225 is 11589865.

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

It can be written as a sum of positive squares in 4 ways, for example, as 51523124117521 + 82801846600704 = 7177961^2 + 9099552^2 .

It is not a de Polignac number, because 134324970718225 - 25 = 134324970718193 is a prime.

It is a super-3 number, since 3×1343249707182253 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 134324970718225.

It is not an unprimeable number, because it can be changed into a prime (134324970718229) 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 80 ways as a sum of consecutive naturals, for example, 109118578360 + ... + 109118579590.

Almost surely, 2134324970718225 is an apocalyptic number.

134324970718225 is the 11589865-th square number.

134324970718225 is the 5794933-rd centered octagonal number.

It is an amenable number.

134324970718225 is a deficient number, since it is larger than the sum of its proper divisors (60313023427136).

134324970718225 is an frugal number, since it uses more digits than its factorization.

134324970718225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 134324970718225 in words is "one hundred thirty-four trillion, three hundred twenty-four billion, nine hundred seventy million, seven hundred eighteen thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 269 1225 1231 1345 1883 6155 6725 8617 9415 13181 30775 43085 47075 60319 65905 72361 215425 301595 329525 331139 361805 506527 1507975 1515361 1655695 1809025 2317973 2532635 3545689 7576805 8278475 10607527 11589865 12663175 16225811 17728445 37884025 53037635 57949325 74252689 81129055 88642225 89076391 265188175 371263445 405645275 407632109 445381955 623534737 1856317225 2038160545 2226909775 2853424763 3117673685 4364743159 10190802725 14267123815 15588368425 19973973341 21823715795 71335619075 99869866705 109118578975 109653037321 499349333525 548265186605 767571261247 2741325933025 3837856306235 5372998828729 19189281531175 26864994143645 134324970718225