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10144444343 = 1127383101137
BaseRepresentation
bin10010111001010011…
…11110111110110111
3222011222120011111212
421130221332332313
5131233434204333
64354342352035
7506250232325
oct113451767667
928158504455
1010144444343
114336302200
121b7142b61b
13c588c26b7
146c3402d15
153e58e1448
hex25ca7efb7

10144444343 has 48 divisors (see below), whose sum is σ = 11637023328. Its totient is φ = 8832384000.

The previous prime is 10144444313. The next prime is 10144444351. The reversal of 10144444343 is 34344444101.

It is not a de Polignac number, because 10144444343 - 212 = 10144440247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144444313) 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 47 ways as a sum of consecutive naturals, for example, 74046971 + ... + 74047107.

It is an arithmetic number, because the mean of its divisors is an integer number (242437986).

Almost surely, 210144444343 is an apocalyptic number.

10144444343 is a deficient number, since it is larger than the sum of its proper divisors (1492578985).

10144444343 is a wasteful number, since it uses less digits than its factorization.

10144444343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 10144444343 its reverse (34344444101), we get a palindrome (44488888444).

It can be divided in two parts, 101 and 44444343, that added together give a palindrome (44444444).

The spelling of 10144444343 in words is "ten billion, one hundred forty-four million, four hundred forty-four thousand, three hundred forty-three".

Divisors: 1 11 73 83 101 121 137 803 913 1111 1507 6059 7373 8383 8833 10001 10043 11371 12221 13837 16577 66649 81103 92213 110011 125081 152207 611959 733139 830083 892133 1010101 1014343 1148471 1210121 1375891 1674277 6731549 9130913 11111111 12633181 74047039 83838383 100440043 122222221 138964991 922222213 10144444343