Search a number
-
+
4243314032331 = 311252457222841
BaseRepresentation
bin111101101111111001001…
…110011011111011001011
3120000122201211222012122020
4331233321032123323023
51024010301343013311
613005203534055523
7615366164105553
oct75577116337313
916018654865566
104243314032331
11139664116a400
1258647134a5a3
1324a1b195352a
1410953dbbc163
15755a1d3bc06
hex3dbf939becb

4243314032331 has 24 divisors (see below), whose sum is σ = 6218997878352. Its totient is φ = 2571644908800.

The previous prime is 4243314032263. The next prime is 4243314032351. The reversal of 4243314032331 is 1332304133424.

It is a happy number.

It is not a de Polignac number, because 4243314032331 - 238 = 3968436125387 is a prime.

It is a super-2 number, since 2×42433140323312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4243314032292 and 4243314032301.

It is not an unprimeable number, because it can be changed into a prime (4243314032351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18930471 + ... + 19153311.

It is an arithmetic number, because the mean of its divisors is an integer number (259124911598).

Almost surely, 24243314032331 is an apocalyptic number.

4243314032331 is a deficient number, since it is larger than the sum of its proper divisors (1975683846021).

4243314032331 is a wasteful number, since it uses less digits than its factorization.

4243314032331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275323 (or 275312 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 4243314032331 its reverse (1332304133424), we get a palindrome (5575618165755).

The spelling of 4243314032331 in words is "four trillion, two hundred forty-three billion, three hundred fourteen million, thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 11 33 121 363 52457 157371 222841 577027 668523 1731081 2451251 6347297 7353753 19041891 26963761 80891283 11689570337 35068711011 128585273707 385755821121 1414438010777 4243314032331