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4314140001 = 331371936043
BaseRepresentation
bin1000000010010010…
…01000110101100001
3102010122211000112000
410001021020311201
532313404440001
61552030554213
7211623404433
oct40111106541
912118730460
104314140001
111914246266
12a04968969
13539a30582
142ccd68653
151a3b28a86
hex101248d61

4314140001 has 32 divisors (see below), whose sum is σ = 6472398720. Its totient is φ = 2839836672.

The previous prime is 4314139967. The next prime is 4314140029. The reversal of 4314140001 is 1000414134.

It is not a de Polignac number, because 4314140001 - 222 = 4309945697 is a prime.

It is a super-2 number, since 2×43141400012 = 37223607896456560002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4314140801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 710886 + ... + 716928.

It is an arithmetic number, because the mean of its divisors is an integer number (202262460).

Almost surely, 24314140001 is an apocalyptic number.

It is an amenable number.

4314140001 is a deficient number, since it is larger than the sum of its proper divisors (2158258719).

4314140001 is a wasteful number, since it uses less digits than its factorization.

4314140001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4314140001 is about 65682.1132501079. The cubic root of 4314140001 is about 1627.9138254094.

Adding to 4314140001 its reverse (1000414134), we get a palindrome (5314554135).

The spelling of 4314140001 in words is "four billion, three hundred fourteen million, one hundred forty thousand, one".

Divisors: 1 3 9 27 137 193 411 579 1233 1737 3699 5211 6043 18129 26441 54387 79323 163161 237969 713907 827891 1166299 2483673 3498897 7451019 10496691 22353057 31490073 159782963 479348889 1438046667 4314140001