Search a number
-
+
4134534354314 = 27131511237121621
BaseRepresentation
bin111100001010100101011…
…100111001010110001010
3112122020221210211000022122
4330022211130321112022
51020220011243314224
612443213500051242
7604465421103260
oct74124534712612
915566853730278
104134534354314
11135449a946261
12569373233b22
1323cb67214950
14104180ad8430
1572836e4615e
hex3c2a573958a

4134534354314 has 64 divisors (see below), whose sum is σ = 7689810734592. Its totient is φ = 1623481056000.

The previous prime is 4134534354311. The next prime is 4134534354331.

4134534354314 is nontrivially palindromic in base 10.

4134534354314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4134534354311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33934424 + ... + 34056044.

It is an arithmetic number, because the mean of its divisors is an integer number (120153292728).

Almost surely, 24134534354314 is an apocalyptic number.

4134534354314 is a deficient number, since it is larger than the sum of its proper divisors (3555276380278).

4134534354314 is a wasteful number, since it uses less digits than its factorization.

4134534354314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123031.

The product of its digits is 2073600, while the sum is 44.

The spelling of 4134534354314 in words is "four trillion, one hundred thirty-four billion, five hundred thirty-four million, three hundred fifty-four thousand, three hundred fourteen".

Divisors: 1 2 7 13 14 26 91 151 182 302 1057 1237 1963 2114 2474 3926 8659 13741 16081 17318 27482 32162 112567 121621 186787 225134 243242 373574 851347 1307509 1581073 1702694 2428231 2615018 3162146 4856462 11067511 16997617 18364771 22135022 33995234 36729542 128553397 150445177 238742023 257106794 300890354 477484046 1053116239 1671194161 1955787301 2106232478 3342388322 3911574602 13690511107 22717221727 27381022214 45434443454 159020552089 295323882451 318041104178 590647764902 2067267177157 4134534354314