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31444422444413 = 11231096221183289
BaseRepresentation
bin1110010011001001110011…
…01000010100010101111101
311010100001112212100112200222
413021210321220110111331
513110141134121210123
6150513211313031125
76423533046525056
oct711447150242575
9133301485315628
1031444422444413
11a023560796320
12363a1815554a5
1314712723b9594
147a9cbd64172d
15397e1ccde6c8
hex1c9939a1457d

31444422444413 has 32 divisors (see below), whose sum is σ = 36128834438400. Its totient is φ = 27087620313600.

The previous prime is 31444422444371. The next prime is 31444422444443.

31444422444413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31444422444413 - 212 = 31444422440317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31444422444443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171464873 + ... + 171648161.

It is an arithmetic number, because the mean of its divisors is an integer number (1129026076200).

Almost surely, 231444422444413 is an apocalyptic number.

It is an amenable number.

31444422444413 is a deficient number, since it is larger than the sum of its proper divisors (4684411993987).

31444422444413 is a wasteful number, since it uses less digits than its factorization.

31444422444413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189653.

The product of its digits is 2359296, while the sum is 44.

It can be divided in two parts, 3144442 and 2444413, that added together give a palindrome (5588855).

The spelling of 31444422444413 in words is "thirty-one trillion, four hundred forty-four billion, four hundred twenty-two million, four hundred forty-four thousand, four hundred thirteen".

Divisors: 1 11 23 109 253 1199 2507 6221 27577 68431 143083 183289 678089 1573913 2016179 4215647 7458979 15596047 19978501 46372117 171556517 219763511 459505523 1140240869 5054560753 12542649559 26225539987 124286254721 288480939857 1367148801931 2858583858583 31444422444413