Search a number
-
+
540403130225 = 52717288312101
BaseRepresentation
bin1111101110100101000…
…10010101111101110001
31220122212121211101110002
413313102202111331301
532323221200131400
61052131402315345
754020456550050
oct7672242257561
91818777741402
10540403130225
1119920252a212
1288897ab8b55
133bc6289961a
141c22716c397
15e0ccbeaed5
hex7dd2895f71

540403130225 has 72 divisors (see below), whose sum is σ = 814515718848. Its totient is φ = 348340608000.

The previous prime is 540403130167. The next prime is 540403130243. The reversal of 540403130225 is 522031304045.

It is a happy number.

It is not a de Polignac number, because 540403130225 - 26 = 540403130161 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44651675 + ... + 44663775.

Almost surely, 2540403130225 is an apocalyptic number.

It is an amenable number.

540403130225 is a deficient number, since it is larger than the sum of its proper divisors (274112588623).

540403130225 is a wasteful number, since it uses less digits than its factorization.

540403130225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13035 (or 13013 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 540403130225 in words is "five hundred forty billion, four hundred three million, one hundred thirty thousand, two hundred twenty-five".

Divisors: 1 5 7 17 25 35 85 119 175 289 425 595 883 1445 2023 2975 4415 6181 7225 10115 12101 15011 22075 30905 50575 60505 75055 84707 105077 154525 205717 255187 302525 375275 423535 525385 1028585 1275935 1440019 1786309 2117675 2626925 3497189 5142925 6379675 7200095 8931545 10685183 17485945 24480323 36000475 44657725 53425915 74796281 87429725 122401615 181648111 267129575 373981405 612008075 908240555 1271536777 1869907025 3088017887 4541202775 6357683885 15440089435 21616125209 31788419425 77200447175 108080626045 540403130225