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1214411406 = 2313711032129
BaseRepresentation
bin100100001100010…
…0111001010001110
310010122010111021020
41020120213022032
54441342131111
6320301015010
742044220015
oct11030471216
93118114236
101214411406
1157355a29a
1229a854466
1316479bc40
14b7401a7c
1571935906
hex4862728e

1214411406 has 64 divisors (see below), whose sum is σ = 2679505920. Its totient is φ = 364654080.

The previous prime is 1214411383. The next prime is 1214411411. The reversal of 1214411406 is 6041144121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569350 + ... + 571478.

It is an arithmetic number, because the mean of its divisors is an integer number (41867280).

Almost surely, 21214411406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214411406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339752960).

1214411406 is an abundant number, since it is smaller than the sum of its proper divisors (1465094514).

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

1214411406 is a wasteful number, since it uses less digits than its factorization.

1214411406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1214411406 is about 34848.4060754577. The cubic root of 1214411406 is about 1066.8956535513.

Adding to 1214411406 its reverse (6041144121), we get a palindrome (7255555527).

The spelling of 1214411406 in words is "one billion, two hundred fourteen million, four hundred eleven thousand, four hundred six".

Divisors: 1 2 3 6 13 26 39 71 78 103 142 206 213 309 426 618 923 1339 1846 2129 2678 2769 4017 4258 5538 6387 7313 8034 12774 14626 21939 27677 43878 55354 83031 95069 151159 166062 190138 219287 285207 302318 438574 453477 570414 657861 906954 1315722 1965067 2850731 3930134 5701462 5895201 8552193 11790402 15569377 17104386 31138754 46708131 93416262 202401901 404803802 607205703 1214411406