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1314213186 = 2311213178191
BaseRepresentation
bin100111001010101…
…0100110101000010
310101120220221120110
41032111110311002
510142414310221
6334224052150
744365425216
oct11625246502
93346827513
101314213186
11614925900
12308164056
1317c373450
14c6780946
157a59b776
hex4e554d42

1314213186 has 96 divisors (see below), whose sum is σ = 3294756864. Its totient is φ = 345945600.

The previous prime is 1314213179. The next prime is 1314213209. The reversal of 1314213186 is 6813124131.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156351 + ... + 164541.

It is an arithmetic number, because the mean of its divisors is an integer number (34320384).

Almost surely, 21314213186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314213186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647378432).

1314213186 is an abundant number, since it is smaller than the sum of its proper divisors (1980543678).

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

1314213186 is a wasteful number, since it uses less digits than its factorization.

1314213186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8248 (or 8237 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 1314213186 is about 36252.0783680053. The cubic root of 1314213186 is about 1095.3559544168.

The spelling of 1314213186 in words is "one billion, three hundred fourteen million, two hundred thirteen thousand, one hundred eighty-six".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 121 143 187 221 242 286 363 374 429 442 561 663 726 858 1122 1326 1573 2057 2431 3146 4114 4719 4862 6171 7293 8191 9438 12342 14586 16382 24573 26741 49146 53482 80223 90101 106483 139247 160446 180202 212966 270303 278494 319449 417741 540606 638898 835482 991111 1171313 1531717 1810211 1982222 2342626 2973333 3063434 3513939 3620422 4595151 5430633 5946666 7027878 9190302 10861266 12884443 16848887 19912321 25768886 33697774 38653329 39824642 50546661 59736963 77306658 101093322 119473926 219035531 438071062 657106593 1314213186