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1414455506345 = 57229199078889
BaseRepresentation
bin10100100101010100000…
…111100011010110101001
312000012221211120121021202
4110211110013203112221
5141133301102200340
63001443014213545
7204122345300300
oct24452407432651
95005854517252
101414455506345
114a595a293152
121aa16a3542b5
13a34c86bcb1b
144c6623b5437
1526bd726cc15
hex149541e35a9

1414455506345 has 24 divisors (see below), whose sum is σ = 2042549411400. Its totient is φ = 936467089152.

The previous prime is 1414455506333. The next prime is 1414455506383. The reversal of 1414455506345 is 5436055544141.

It can be written as a sum of positive squares in 4 ways, for example, as 179298892969 + 1235156613376 = 423437^2 + 1111376^2 .

It is not a de Polignac number, because 1414455506345 - 26 = 1414455506281 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1414455506345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99532340 + ... + 99546549.

It is an arithmetic number, because the mean of its divisors is an integer number (85106225475).

Almost surely, 21414455506345 is an apocalyptic number.

It is an amenable number.

1414455506345 is a deficient number, since it is larger than the sum of its proper divisors (628093905055).

1414455506345 is a wasteful number, since it uses less digits than its factorization.

1414455506345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199078937 (or 199078930 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 47.

The spelling of 1414455506345 in words is "one trillion, four hundred fourteen billion, four hundred fifty-five million, five hundred six thousand, three hundred forty-five".

Divisors: 1 5 7 29 35 49 145 203 245 1015 1421 7105 199078889 995394445 1393552223 5773287781 6967761115 9754865561 28866438905 40413014467 48774327805 202065072335 282891101269 1414455506345