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4140000140 = 2251721674289
BaseRepresentation
bin1111011011000011…
…0110001110001100
3101200112010210112112
43312300312032030
531434320001030
61522450323152
7204410264153
oct36660661614
911615123475
104140000140
111834a16421
129765894b8
1350c92bb33
142b3b9859a
151936cba95
hexf6c3638c

4140000140 has 72 divisors (see below), whose sum is σ = 9292963680. Its totient is φ = 1548894208.

The previous prime is 4140000127. The next prime is 4140000143. The reversal of 4140000140 is 410000414.

It is not an unprimeable number, because it can be changed into a prime (4140000143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963116 + ... + 967404.

It is an arithmetic number, because the mean of its divisors is an integer number (129068940).

Almost surely, 24140000140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646481840).

4140000140 is an abundant number, since it is smaller than the sum of its proper divisors (5152963540).

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

4140000140 is a wasteful number, since it uses less digits than its factorization.

4140000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4140000140 is about 64342.8328565039. The cubic root of 4140000140 is about 1605.7087917310.

Adding to 4140000140 its reverse (410000414), we get a palindrome (4550000554).

The spelling of 4140000140 in words is "four billion, one hundred forty million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 167 170 289 334 340 578 668 835 1156 1445 1670 2839 2890 3340 4289 5678 5780 8578 11356 14195 17156 21445 28390 42890 48263 56780 72913 85780 96526 145826 193052 241315 291652 364565 482630 716263 729130 965260 1239521 1432526 1458260 2479042 2865052 3581315 4958084 6197605 7162630 12176471 12395210 14325260 24352942 24790420 48705884 60882355 121764710 207000007 243529420 414000014 828000028 1035000035 2070000070 4140000140