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14102234405415 = 3251328878349977
BaseRepresentation
bin1100110100110110111010…
…1011000001101000100111
31211221011022221222212000100
43031031232223001220213
53322022334001433130
645554251013115143
72653565341432422
oct315155653015047
954834287885010
1014102234405415
1145477a674a632
1216b9135928ab3
137b3ab1650270
1436a7a21649b9
15196c7139dc60
hexcd36eac1a27

14102234405415 has 48 divisors (see below), whose sum is σ = 26333292218688. Its totient is φ = 6940232851968.

The previous prime is 14102234405411. The next prime is 14102234405471. The reversal of 14102234405415 is 51450443220141.

14102234405415 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 2 + 234 + 4 + 0 + 5 + 415 = 666.

It is not a de Polignac number, because 14102234405415 - 22 = 14102234405411 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14102234405415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14102234405411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2486094 + ... + 5863883.

It is an arithmetic number, because the mean of its divisors is an integer number (548610254556).

Almost surely, 214102234405415 is an apocalyptic number.

14102234405415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14102234405415 is a deficient number, since it is larger than the sum of its proper divisors (12231057813273).

14102234405415 is a wasteful number, since it uses less digits than its factorization.

14102234405415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8352888 (or 8352885 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 14102234405415 its reverse (51450443220141), we get a palindrome (65552677625556).

The spelling of 14102234405415 in words is "fourteen trillion, one hundred two billion, two hundred thirty-four million, four hundred five thousand, four hundred fifteen".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 2887 8661 14435 25983 37531 43305 112593 129915 187655 337779 562965 1688895 8349977 25049931 41749885 75149793 108549701 125249655 325649103 375748965 542748505 976947309 1628245515 4884736545 24106383599 72319150797 120531917995 216957452391 313382986787 361595753985 940148960361 1084787261955 1566914933935 2820446881083 4700744801805 14102234405415