Search a number
-
+
1430414001341 = 1319263101321737
BaseRepresentation
bin10100110100001011010…
…100011000010010111101
312001202011000022010220222
4110310023110120102331
5141413441441020331
63013042332151125
7205225664253623
oct24641324302275
95052130263828
101430414001341
115016a945a696
121b12829084a5
13a4b6c9a3480
144d337a21513
152731d2b5b7b
hex14d0b5184bd

1430414001341 has 32 divisors (see below), whose sum is σ = 1629369181440. Its totient is φ = 1244844716544.

The previous prime is 1430414001311. The next prime is 1430414001349. The reversal of 1430414001341 is 1431004140341.

It is a happy number.

It is not a de Polignac number, because 1430414001341 - 234 = 1413234132157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1430414001341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430414001349) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 65794625 + ... + 65816361.

It is an arithmetic number, because the mean of its divisors is an integer number (50917786920).

Almost surely, 21430414001341 is an apocalyptic number.

It is an amenable number.

1430414001341 is a deficient number, since it is larger than the sum of its proper divisors (198955180099).

1430414001341 is a wasteful number, since it uses less digits than its factorization.

1430414001341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23045.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 1430414001341 its reverse (1431004140341), we get a palindrome (2861418141682).

The spelling of 1430414001341 in words is "one trillion, four hundred thirty billion, four hundred fourteen million, one thousand, three hundred forty-one".

Divisors: 1 13 19 247 263 1013 3419 4997 13169 19247 21737 64961 250211 266419 282581 413003 3463447 5061961 5369039 5716831 22019581 65805493 74318803 108619789 286254553 418372039 1412057257 5438836507 5791149803 75284947439 110031846257 1430414001341