Search a number
-
+
4134356145 = 3252329137743
BaseRepresentation
bin1111011001101101…
…0100010010110001
3101200010112001102200
43312123110102301
531431343344040
61522125333413
7204311306313
oct36633242261
911603461380
104134356145
111831810a67
12974707269
1350b703baa
142b31297b3
15192e64630
hexf66d44b1

4134356145 has 48 divisors (see below), whose sum is σ = 7735703040. Its totient is φ = 2036377728.

The previous prime is 4134356143. The next prime is 4134356159. The reversal of 4134356145 is 5416534314.

4134356145 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 35 + 614 + 5 = 666.

It is not a de Polignac number, because 4134356145 - 21 = 4134356143 is a prime.

It is a super-2 number, since 2×41343561452 = 34185801467398522050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4134356143) 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 47 ways as a sum of consecutive naturals, for example, 38857 + ... + 98886.

It is an arithmetic number, because the mean of its divisors is an integer number (161160480).

Almost surely, 24134356145 is an apocalyptic number.

4134356145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4134356145 is a deficient number, since it is larger than the sum of its proper divisors (3601346895).

4134356145 is a wasteful number, since it uses less digits than its factorization.

4134356145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137806 (or 137803 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 4134356145 is about 64298.9591284338. The cubic root of 4134356145 is about 1604.9787809813.

The spelling of 4134356145 in words is "four billion, one hundred thirty-four million, three hundred fifty-six thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 23 29 45 69 87 115 145 207 261 345 435 667 1035 1305 2001 3335 6003 10005 30015 137743 413229 688715 1239687 2066145 3168089 3994547 6198435 9504267 11983641 15840445 19972735 28512801 35950923 47521335 59918205 91874581 142564005 179754615 275623743 459372905 826871229 1378118715 4134356145