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13979261043225 = 325253247032
BaseRepresentation
bin1100101101101100110011…
…1000111000001000011001
31211111101220201220210101100
43023123030320320020121
53313014011311340400
645421552303142013
72641653056210532
oct313331470701031
954441821823340
1013979261043225
1144aa631469495
1216993362a4909
137a531444a1aa
14364857d8b689
15193975367100
hexcb6cce38219

13979261043225 has 81 divisors (see below), whose sum is σ = 25525173667357. Its totient is φ = 7313378704320.

The previous prime is 13979261043157. The next prime is 13979261043257. The reversal of 13979261043225 is 52234016297931.

It is a happy number.

The square root of 13979261043225 is 3738885.

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

13979261043225 is a `hidden beast` number, since 1 + 3 + 97 + 92 + 6 + 10 + 432 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105304793049 + 13873956250176 = 324507^2 + 3724776^2 .

It is not a de Polignac number, because 13979261043225 - 217 = 13979260912153 is a prime.

It is a Duffinian number.

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, 2972411224 + ... + 2972415926.

Almost surely, 213979261043225 is an apocalyptic number.

13979261043225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13979261043225 is the 3738885-th square number.

13979261043225 is the 1869443-rd centered octagonal number.

It is an amenable number.

13979261043225 is a deficient number, since it is larger than the sum of its proper divisors (11545912624132).

13979261043225 is an frugal number, since it uses more digits than its factorization.

13979261043225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9528 (or 4764 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 13979261043225 in words is "thirteen trillion, nine hundred seventy-nine billion, two hundred sixty-one million, forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 159 225 265 477 795 1325 2385 2809 3975 4703 8427 11925 14045 14109 23515 25281 42135 42327 70225 70545 117575 126405 210675 211635 249259 352725 632025 747777 1058175 1246295 2243331 3738885 6231475 11216655 13210727 18694425 22118209 39632181 56083275 66053635 66354627 110591045 118896543 198160905 199063881 330268175 331773135 552955225 594482715 990804525 995319405 1172265077 1658865675 2972413575 3516795231 4976597025 5861325385 10550385693 17583976155 29306626925 52751928465 62130049081 87919880775 186390147243 263759642325 310650245405 559170441729 931950736215 1553251227025 2795852208645 4659753681075 13979261043225