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43314010002 = 23292910132557
BaseRepresentation
bin101000010101101101…
…110101011110010010
311010210121221200120200
4220111231311132102
51202201341310002
631522001320030
73062235003354
oct502555653622
9133717850520
1043314010002
11174076a188a
128489936016
13411382b723
14214c7930d4
1511d7905b1c
hexa15b75792

43314010002 has 48 divisors (see below), whose sum is σ = 94077561240. Its totient is φ = 14402589696.

The previous prime is 43314010001. The next prime is 43314010013. The reversal of 43314010002 is 20001041334.

It can be written as a sum of positive squares in 4 ways, for example, as 8161134921 + 35152875081 = 90339^2 + 187491^2 .

It is a super-2 number, since 2×433140100022 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (43314010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16938108 + ... + 16940664.

Almost surely, 243314010002 is an apocalyptic number.

43314010002 is an abundant number, since it is smaller than the sum of its proper divisors (50763551238).

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

43314010002 is a wasteful number, since it uses less digits than its factorization.

43314010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507 (or 4504 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 43314010002 its reverse (20001041334), we get a palindrome (63315051336).

The spelling of 43314010002 in words is "forty-three billion, three hundred fourteen million, ten thousand, two".

Divisors: 1 2 3 6 9 18 929 1013 1858 2026 2557 2787 3039 5114 5574 6078 7671 8361 9117 15342 16722 18234 23013 46026 941077 1882154 2375453 2590241 2823231 4750906 5180482 5646462 7126359 7770723 8469693 14252718 15541446 16939386 21379077 23312169 42758154 46624338 2406333889 4812667778 7219001667 14438003334 21657005001 43314010002