Search a number
-
+
10144557447 = 3103223147221
BaseRepresentation
bin10010111001010100…
…11010100110000111
3222011222202220122220
421130222122212013
5131234001314242
64354345023423
7506251213143
oct113452324607
928158686586
1010144557447
11433637a182
121b71484b73
13c5893201b
146c3432223
153e5914bec
hex25ca9a987

10144557447 has 16 divisors (see below), whose sum is σ = 13718734848. Its totient is φ = 6667299360.

The previous prime is 10144557443. The next prime is 10144557457. The reversal of 10144557447 is 74475544101.

10144557447 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10144557447 - 22 = 10144557443 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10144557399 and 10144557408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144557443) 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 15 ways as a sum of consecutive naturals, for example, 4704 + ... + 142517.

It is an arithmetic number, because the mean of its divisors is an integer number (857420928).

Almost surely, 210144557447 is an apocalyptic number.

10144557447 is a deficient number, since it is larger than the sum of its proper divisors (3574177401).

10144557447 is a wasteful number, since it uses less digits than its factorization.

10144557447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147550.

The product of its (nonzero) digits is 313600, while the sum is 42.

The spelling of 10144557447 in words is "ten billion, one hundred forty-four million, five hundred fifty-seven thousand, four hundred forty-seven".

Divisors: 1 3 103 223 309 669 22969 68907 147221 441663 15163763 32830283 45491289 98490849 3381519149 10144557447