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4140040518 = 233413076091
BaseRepresentation
bin1111011011000100…
…0000000101000110
3101200112012211221000
43312301000011012
531434322244033
61522451234130
7204410522655
oct36661000506
911615184830
104140040518
111834a43799
129765a8946
1350c944323
142b3ba919c
151936d8a13
hexf6c40146

4140040518 has 64 divisors (see below), whose sum is σ = 9456733440. Its totient is φ = 1341748800.

The previous prime is 4140040427. The next prime is 4140040571. The reversal of 4140040518 is 8150400414.

It is a happy number.

4140040518 is a `hidden beast` number, since 4 + 140 + 0 + 4 + 0 + 518 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4140040491 and 4140040500.

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, 676653 + ... + 682743.

It is an arithmetic number, because the mean of its divisors is an integer number (147761460).

Almost surely, 24140040518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140040518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4728366720).

4140040518 is an abundant number, since it is smaller than the sum of its proper divisors (5316692922).

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

4140040518 is a wasteful number, since it uses less digits than its factorization.

4140040518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6450 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4140040518 is about 64343.1466280598. The cubic root of 4140040518 is about 1605.7140119481.

It can be divided in two parts, 41400 and 40518, that added together give a palindrome (81918).

The spelling of 4140040518 in words is "four billion, one hundred forty million, forty thousand, five hundred eighteen".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 307 369 614 738 921 1107 1842 2214 2763 5526 6091 8289 12182 12587 16578 18273 25174 36546 37761 54819 75522 109638 113283 164457 226566 249731 328914 339849 499462 679698 749193 1498386 1869937 2247579 3739874 4495158 5609811 6742737 11219622 13485474 16829433 33658866 50488299 76667417 100976598 153334834 230002251 460004502 690006753 1380013506 2070020259 4140040518