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13144334410503 = 341929294511313
BaseRepresentation
bin1011111101000110011101…
…1000100010001100000111
31201112120211021011021110000
42333101213120202030013
53210324044102114003
643542231315532343
72524434601012122
oct277214730421407
951476737137400
1013144334410503
11420853211467a
121583562bba0b3
1374467552724a
143362911773b9
1517bdaab881a3
hexbf467622307

13144334410503 has 40 divisors (see below), whose sum is σ = 21381521396400. Its totient is φ = 8015419867392.

The previous prime is 13144334410483. The next prime is 13144334410513. The reversal of 13144334410503 is 30501443344131.

13144334410503 is a `hidden beast` number, since 1 + 3 + 144 + 3 + 3 + 4 + 4 + 1 + 0 + 503 = 666.

13144334410503 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 13144334410503 - 29 = 13144334409991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144334410513) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 147211026 + ... + 147300287.

It is an arithmetic number, because the mean of its divisors is an integer number (534538034910).

Almost surely, 213144334410503 is an apocalyptic number.

13144334410503 is a deficient number, since it is larger than the sum of its proper divisors (8237186985897).

13144334410503 is a wasteful number, since it uses less digits than its factorization.

13144334410503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294511373 (or 294511364 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13144334410503 its reverse (30501443344131), we get a palindrome (43645777754634).

The spelling of 13144334410503 in words is "thirteen trillion, one hundred forty-four billion, three hundred thirty-four million, four hundred ten thousand, five hundred three".

Divisors: 1 3 9 19 27 29 57 81 87 171 261 513 551 783 1539 1653 2349 4959 14877 44631 294511313 883533939 2650601817 5595714947 7951805451 8540828077 16787144841 23855416353 25622484231 50361434523 76867452693 151084303569 162275733463 230602358079 453252910707 486827200389 691807074237 1460481601167 4381444803501 13144334410503