Search a number
-
+
444124240131 = 311131079675277
BaseRepresentation
bin1100111011001111101…
…11100001100100000011
31120110100210010000100210
412131213313201210003
524234031301141011
6540010003445203
744041545516345
oct6354767414403
91513323100323
10444124240131
11161396612060
12720a8386803
1332b5ac92180
14176d23c5295
15b8454e76a6
hex6767de1903

444124240131 has 32 divisors (see below), whose sum is σ = 702192976128. Its totient is φ = 246139021440.

The previous prime is 444124240123. The next prime is 444124240207. The reversal of 444124240131 is 131042421444.

It is a happy number.

It is not a de Polignac number, because 444124240131 - 23 = 444124240123 is a prime.

It is a super-2 number, since 2×4441242401312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444124248131) 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, 4791736 + ... + 4883541.

It is an arithmetic number, because the mean of its divisors is an integer number (21943530504).

Almost surely, 2444124240131 is an apocalyptic number.

444124240131 is a deficient number, since it is larger than the sum of its proper divisors (258068735997).

444124240131 is a wasteful number, since it uses less digits than its factorization.

444124240131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9675411.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 444124240131 its reverse (131042421444), we get a palindrome (575166661575).

The spelling of 444124240131 in words is "four hundred forty-four billion, one hundred twenty-four million, two hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 11 13 33 39 107 143 321 429 1177 1391 3531 4173 15301 45903 9675277 29025831 106428047 125778601 319284141 377335803 1035254639 1383564611 3105763917 4150693833 11387801029 13458310307 34163403087 40374930921 148041413377 444124240131