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1410142305 = 35111323101283
BaseRepresentation
bin101010000001101…
…0001000001100001
310122021102122120210
41110003101001201
510341444023210
6351532124333
746642004025
oct12403210141
93567378523
101410142305
11663a96870
123343066a9
131961c0040
14d53d2385
1583be9e20
hex540d1061

1410142305 has 128 divisors (see below), whose sum is σ = 2803175424. Its totient is φ = 595584000.

The previous prime is 1410142219. The next prime is 1410142309. The reversal of 1410142305 is 5032410141.

It is not a de Polignac number, because 1410142305 - 210 = 1410141281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1410142309) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4982694 + ... + 4982976.

It is an arithmetic number, because the mean of its divisors is an integer number (21899808).

Almost surely, 21410142305 is an apocalyptic number.

1410142305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1410142305 is a deficient number, since it is larger than the sum of its proper divisors (1393033119).

1410142305 is a wasteful number, since it uses less digits than its factorization.

1410142305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1410142305 is about 37551.8615384111. The cubic root of 1410142305 is about 1121.3838933380.

Adding to 1410142305 its reverse (5032410141), we get a palindrome (6442552446).

The spelling of 1410142305 in words is "one billion, four hundred ten million, one hundred forty-two thousand, three hundred five".

Divisors: 1 3 5 11 13 15 23 33 39 55 65 69 101 115 143 165 195 253 283 299 303 345 429 505 715 759 849 897 1111 1265 1313 1415 1495 1515 2145 2323 3113 3289 3333 3679 3795 3939 4245 4485 5555 6509 6565 6969 9339 9867 11037 11615 14443 15565 16445 16665 18395 19527 19695 25553 28583 30199 32545 34845 40469 43329 46695 49335 55185 71599 72215 76659 84617 85749 90597 97635 121407 127765 142915 150995 202345 214797 216645 253851 314413 332189 357995 371579 383295 423085 428745 452985 607035 657409 930787 943239 996567 1073985 1114737 1269255 1572065 1660945 1857895 1972227 2792361 3287045 4087369 4653935 4716195 4982835 5573685 7231499 8546317 9861135 12262107 13961805 20436845 21694497 25638951 36157495 42731585 61310535 94009487 108472485 128194755 282028461 470047435 1410142305