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13402221412314 = 2371093478436679
BaseRepresentation
bin1100001100000111001010…
…1001010111111111011010
31202110020110212001100002110
43003001302221113333122
53224040222140143224
644300521233213150
72552164353242220
oct303016251277732
952406425040073
1013402221412314
1142a7939657039
121605534a011b6
13762a935b42c7
1434495723ab10
151839510cb929
hexc3072a57fda

13402221412314 has 64 divisors (see below), whose sum is σ = 31003786598400. Its totient is φ = 3783141402048.

The previous prime is 13402221412313. The next prime is 13402221412319. The reversal of 13402221412314 is 41321412220431.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13402221412313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2629774 + ... + 5806905.

It is an arithmetic number, because the mean of its divisors is an integer number (484434165600).

Almost surely, 213402221412314 is an apocalyptic number.

13402221412314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13402221412314 is an abundant number, since it is smaller than the sum of its proper divisors (17601565186086).

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

13402221412314 is a wasteful number, since it uses less digits than its factorization.

13402221412314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8437147.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 13402221412314 its reverse (41321412220431), we get a palindrome (54723633632745).

The spelling of 13402221412314 in words is "thirteen trillion, four hundred two billion, two hundred twenty-one million, four hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 109 218 327 347 654 694 763 1041 1526 2082 2289 2429 4578 4858 7287 14574 37823 75646 113469 226938 264761 529522 794283 1588566 8436679 16873358 25310037 50620074 59056753 118113506 177170259 354340518 919598011 1839196022 2758794033 2927527613 5517588066 5855055226 6437186077 8782582839 12874372154 17565165678 19311558231 20492693291 38623116462 40985386582 61478079873 122956159746 319100509817 638201019634 957301529451 1914603058902 2233703568719 4467407137438 6701110706157 13402221412314