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1305431422425 = 3252137328121757
BaseRepresentation
bin10010111111110001110…
…001101011010111011001
311121210112202112022002200
4102333301301223113121
5132342010421004200
62435412405520413
7163212544002234
oct22776161532731
94553482468080
101305431422425
114636a3007259
12191002413109
1396142449b70
144727ca7041b
1523e55b9a800
hex12ff1c6b5d9

1305431422425 has 144 divisors (see below), whose sum is σ = 2561727216048. Its totient is φ = 631585382400.

The previous prime is 1305431422423. The next prime is 1305431422429. The reversal of 1305431422425 is 5242241345031.

It is a happy number.

1305431422425 is a `hidden beast` number, since 1 + 30 + 543 + 1 + 42 + 2 + 42 + 5 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 605259104256 + 700172318169 = 777984^2 + 836763^2 .

It is not a de Polignac number, because 1305431422425 - 21 = 1305431422423 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1305431422425.

It is not an unprimeable number, because it can be changed into a prime (1305431422423) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59989647 + ... + 60011403.

Almost surely, 21305431422425 is an apocalyptic number.

1305431422425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1305431422425 is a deficient number, since it is larger than the sum of its proper divisors (1256295793623).

1305431422425 is a wasteful number, since it uses less digits than its factorization.

1305431422425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22140 (or 22132 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 1305431422425 its reverse (5242241345031), we get a palindrome (6547672767456).

The spelling of 1305431422425 in words is "one trillion, three hundred five billion, four hundred thirty-one million, four hundred twenty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 73 75 117 195 219 225 281 325 365 585 657 843 949 975 1095 1405 1825 2529 2847 2925 3285 3653 4215 4745 5475 7025 8541 10959 12645 14235 16425 18265 20513 21075 21757 23725 32877 42705 54795 61539 63225 65271 71175 91325 102565 108785 164385 184617 195813 213525 266669 273975 282841 307695 326355 512825 543925 800007 821925 848523 923085 979065 1333345 1414205 1538475 1588261 1631775 2400021 2545569 4000035 4242615 4615425 4764783 4895325 6113717 6666725 7071025 7941305 12000105 12727845 14294349 18341151 20000175 20647393 21213075 23823915 30568585 39706525 55023453 60000525 61942179 63639225 71471745 79478321 91705755 103236965 119119575 152842925 185826537 238434963 275117265 309710895 357358725 397391605 446301341 458528775 516184825 715304889 929132685 1192174815 1338904023 1375586325 1548554475 1986958025 2231506705 3576524445 4016712069 4645663425 5801917433 5960874075 6694520115 11157533525 17405752299 17882622225 20083560345 29009587165 33472600575 52217256897 87028761495 100417801725 145047935825 261086284485 435143807475 1305431422425