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13412015241345 = 3357107132641203
BaseRepresentation
bin1100001100101011101001…
…1001110111100010000001
31202111011202101212101211000
43003022322121313202001
53224220301400210340
644305221133042213
72552662145355510
oct303127231674201
952434671771730
1013412015241345
114301004a53816
121607408926369
13763994666706
14345205c52677
15183d25d11d30
hexc32ba677881

13412015241345 has 64 divisors (see below), whose sum is σ = 27504480061440. Its totient is φ = 6073905921984.

The previous prime is 13412015241329. The next prime is 13412015241367. The reversal of 13412015241345 is 54314251021431.

13412015241345 is a `hidden beast` number, since 1 + 3 + 4 + 120 + 1 + 524 + 1 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 13412015241345 - 24 = 13412015241329 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66219487 + ... + 66421716.

It is an arithmetic number, because the mean of its divisors is an integer number (429757500960).

Almost surely, 213412015241345 is an apocalyptic number.

13412015241345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13412015241345 is an abundant number, since it is smaller than the sum of its proper divisors (14092464820095).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13412015241345 is a wasteful number, since it uses less digits than its factorization.

13412015241345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132641331 (or 132641325 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 13412015241345 its reverse (54314251021431), we get a palindrome (67726266262776).

The spelling of 13412015241345 in words is "thirteen trillion, four hundred twelve billion, fifteen million, two hundred forty-one thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 107 135 189 315 321 535 749 945 963 1605 2247 2889 3745 4815 6741 11235 14445 20223 33705 101115 132641203 397923609 663206015 928488421 1193770827 1989618045 2785465263 3581312481 4642442105 5968854135 8356395789 13927326315 14192608721 17906562405 25069187367 41781978945 42577826163 70963043605 99348261047 125345936835 127733478489 212889130815 298044783141 383200435467 496741305235 638667392445 894134349423 1490223915705 1916002177335 2682403048269 4470671747115 13412015241345