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14131413440214 = 2372333736919571
BaseRepresentation
bin1100110110100011100111…
…1000001101011011010110
31212000221122111111101211220
43031220321320031123112
53323012113320041324
650015514241111210
72655650412225630
oct315507170153326
955027574441756
1014131413440214
11455910a533324
121702919928506
137b6781901925
1436bd6d547a50
151978ccdadb79
hexcda39e0d6d6

14131413440214 has 64 divisors (see below), whose sum is σ = 32320255080960. Its totient is φ = 4035062211840.

The previous prime is 14131413440153. The next prime is 14131413440239. The reversal of 14131413440214 is 41204431413141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 722049049 + ... + 722068619.

It is an arithmetic number, because the mean of its divisors is an integer number (505003985640).

Almost surely, 214131413440214 is an apocalyptic number.

14131413440214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14131413440214 is an abundant number, since it is smaller than the sum of its proper divisors (18188841640746).

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

14131413440214 is a wasteful number, since it uses less digits than its factorization.

14131413440214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29285.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 14131413440214 its reverse (41204431413141), we get a palindrome (55335844853355).

The spelling of 14131413440214 in words is "fourteen trillion, one hundred thirty-one billion, four hundred thirteen million, four hundred forty thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 2333 4666 6999 7369 13998 14738 16331 19571 22107 32662 39142 44214 48993 51583 58713 97986 103166 117426 136997 154749 273994 309498 410991 821982 17191877 34383754 45659143 51575631 91318286 103151262 120343139 136977429 144218699 240686278 273954858 288437398 319614001 361029417 432656097 639228002 722058834 865312194 958842003 1009530893 1917684006 2019061786 3028592679 6057185358 336462224767 672924449534 1009386674301 2018773348602 2355235573369 4710471146738 7065706720107 14131413440214