Search a number
-
+
10311441144 = 2332329644143
BaseRepresentation
bin10011001101001110…
…00001101011111000
3222121121210111001120
421212213001223320
5132104212104034
64423105545240
7513345542424
oct114647015370
928547714046
1010311441144
1144115a3394
121bb9345220
13c84392a84
146db673b84
154053cbc49
hex2669c1af8

10311441144 has 64 divisors (see below), whose sum is σ = 27827020800. Its totient is φ = 3174331776.

The previous prime is 10311441097. The next prime is 10311441181. The reversal of 10311441144 is 44114411301.

10311441144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 306064 + ... + 338079.

It is an arithmetic number, because the mean of its divisors is an integer number (434797200).

Almost surely, 210311441144 is an apocalyptic number.

It is an amenable number.

10311441144 is an abundant number, since it is smaller than the sum of its proper divisors (17515579656).

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

10311441144 is a wasteful number, since it uses less digits than its factorization.

10311441144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644204 (or 644200 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10311441144 its reverse (44114411301), we get a palindrome (54425852445).

The spelling of 10311441144 in words is "ten billion, three hundred eleven million, four hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 552 667 696 1334 2001 2668 4002 5336 8004 16008 644143 1288286 1932429 2576572 3864858 5153144 7729716 14815289 15459432 18680147 29630578 37360294 44445867 56040441 59261156 74720588 88891734 112080882 118522312 149441176 177783468 224161764 355566936 429643381 448323528 859286762 1288930143 1718573524 2577860286 3437147048 5155720572 10311441144