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13907011141305 = 335379279197387
BaseRepresentation
bin1100101001011111101001…
…1101010111111010111001
31211020111102111222111022000
43022113322131113322321
53310323024323010210
645324443121051213
72633514462163212
oct312277235277271
954214374874260
1013907011141305
114481a26263847
121687331a86b09
1379b56bb4b639
14361162628409
15191b4747dac0
hexca5fa757eb9

13907011141305 has 64 divisors (see below), whose sum is σ = 24797945395200. Its totient is φ = 7394776079040.

The previous prime is 13907011141279. The next prime is 13907011141307. The reversal of 13907011141305 is 50314111070931.

13907011141305 is a `hidden beast` number, since 139 + 0 + 70 + 11 + 141 + 305 = 666.

It is not a de Polignac number, because 13907011141305 - 218 = 13907010879161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13907011141305.

It is not an unprimeable number, because it can be changed into a prime (13907011141307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142752822 + ... + 142850208.

It is an arithmetic number, because the mean of its divisors is an integer number (387467896800).

Almost surely, 213907011141305 is an apocalyptic number.

13907011141305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13907011141305 is a deficient number, since it is larger than the sum of its proper divisors (10890934253895).

13907011141305 is a wasteful number, since it uses less digits than its factorization.

13907011141305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100571 (or 100565 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 13907011141305 in words is "thirteen trillion, nine hundred seven billion, eleven million, one hundred forty-one thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 135 379 1137 1895 2791 3411 5685 8373 10233 13955 17055 25119 41865 51165 75357 97387 125595 292161 376785 486935 876483 1057789 1460805 2629449 3173367 4382415 5288945 9520101 13147245 15866835 28560303 36909673 47600505 110729019 142801515 184548365 271807117 332187057 553645095 815421351 996561171 1359035585 1660935285 2446264053 4077106755 4982805855 7338792159 12231320265 36693960795 103014897343 309044692029 515074486715 927134076087 1545223460145 2781402228261 4635670380435 13907011141305