Search a number
-
+
54031441410513 = 3271735638805449
BaseRepresentation
bin11000100100100001011001…
…10111110011100111010001
321002022100121001102002221200
430102100230313303213101
524040222343000114023
6310525411305541413
714244433326130140
oct1422205467634721
9232270531362850
1054031441410513
1116241673096846
1260877a44a4869
13241c1b2400b18
14d4b1c85a3757
1563a736068743
hex31242cdf39d1

54031441410513 has 48 divisors (see below), whose sum is σ = 89869690684800. Its totient is φ = 30642113716992.

The previous prime is 54031441410497. The next prime is 54031441410533. The reversal of 54031441410513 is 31501414413045.

54031441410513 is a `hidden beast` number, since 5 + 403 + 144 + 1 + 4 + 105 + 1 + 3 = 666.

54031441410513 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 54031441410513 - 24 = 54031441410497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54031441410533) 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, 1733413 + ... + 10538861.

It is an arithmetic number, because the mean of its divisors is an integer number (1872285222600).

Almost surely, 254031441410513 is an apocalyptic number.

It is an amenable number.

54031441410513 is a deficient number, since it is larger than the sum of its proper divisors (35838249274287).

54031441410513 is a wasteful number, since it uses less digits than its factorization.

54031441410513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8806198 (or 8806195 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 54031441410513 its reverse (31501414413045), we get a palindrome (85532855823558).

The spelling of 54031441410513 in words is "fifty-four trillion, thirty-one billion, four hundred forty-one million, four hundred ten thousand, five hundred thirteen".

Divisors: 1 3 7 9 21 63 173 519 563 1211 1557 1689 3633 3941 5067 10899 11823 35469 97399 292197 681793 876591 2045379 6136137 8805449 26416347 61638143 79249041 184914429 554743287 1523342677 4570028031 4957467787 10663398739 13710084093 14872403361 31990196217 34702274509 44617210083 95970588651 104106823527 312320470581 857641927151 2572925781453 6003493490057 7718777344359 18010480470171 54031441410513