Search a number
-
+
12314144230002 = 2338319314235577
BaseRepresentation
bin1011001100110001110000…
…1100010100101001110010
31121121012221212212110111000
42303030130030110221302
53103223331410330002
642105012331102430
72410444654632126
oct263143414245162
947535855773430
1012314144230002
113a1844343048a
12146a691ba1a16
136b42ac988b54
1430801741d586
151654bc20261c
hexb331c314a72

12314144230002 has 64 divisors (see below), whose sum is σ = 27837957490560. Its totient is φ = 4034248353792.

The previous prime is 12314144230001. The next prime is 12314144230079. The reversal of 12314144230002 is 20003244141321.

12314144230002 is a `hidden beast` number, since 1 + 2 + 314 + 1 + 4 + 42 + 300 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12314144230001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6252763 + ... + 7982814.

It is an arithmetic number, because the mean of its divisors is an integer number (434968085790).

Almost surely, 212314144230002 is an apocalyptic number.

12314144230002 is an abundant number, since it is smaller than the sum of its proper divisors (15523813260558).

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

12314144230002 is a wasteful number, since it uses less digits than its factorization.

12314144230002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14235864 (or 14235858 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12314144230002 its reverse (20003244141321), we get a palindrome (32317388371323).

The spelling of 12314144230002 in words is "twelve trillion, three hundred fourteen billion, one hundred forty-four million, two hundred thirty thousand, two".

Divisors: 1 2 3 6 9 18 27 54 83 166 193 249 386 498 579 747 1158 1494 1737 2241 3474 4482 5211 10422 16019 32038 48057 96114 144171 288342 432513 865026 14235577 28471154 42706731 85413462 128120193 256240386 384360579 768721158 1181552891 2363105782 2747466361 3544658673 5494932722 7089317346 8242399083 10633976019 16484798166 21267952038 24727197249 31901928057 49454394498 63803856114 74181591747 148363183494 228039707963 456079415926 684119123889 1368238247778 2052357371667 4104714743334 6157072115001 12314144230002