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13403142441 = 3313374324001
BaseRepresentation
bin11000111101110001…
…11011100100101001
31021121002101011221000
430132320323210221
5204422201024231
610053551505213
7653066555013
oct143670734451
937532334830
1013403142441
1157587a7327
122720828209
131357a73720
1491210b1b3
15536a366e6
hex31ee3b929

13403142441 has 64 divisors (see below), whose sum is σ = 22473552640. Its totient is φ = 7838208000.

The previous prime is 13403142439. The next prime is 13403142463. The reversal of 13403142441 is 14424130431.

13403142441 is a `hidden beast` number, since 1 + 3 + 403 + 14 + 244 + 1 = 666.

It is not a de Polignac number, because 13403142441 - 21 = 13403142439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13403141441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 546441 + ... + 570441.

It is an arithmetic number, because the mean of its divisors is an integer number (351149260).

Almost surely, 213403142441 is an apocalyptic number.

It is an amenable number.

13403142441 is a deficient number, since it is larger than the sum of its proper divisors (9070410199).

13403142441 is a wasteful number, since it uses less digits than its factorization.

13403142441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24103 (or 24097 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13403142441 its reverse (14424130431), we get a palindrome (27827272872).

The spelling of 13403142441 in words is "thirteen billion, four hundred three million, one hundred forty-two thousand, four hundred forty-one".

Divisors: 1 3 9 13 27 37 39 43 111 117 129 333 351 387 481 559 999 1161 1443 1591 1677 4329 4773 5031 12987 14319 15093 20683 24001 42957 62049 72003 186147 216009 312013 558441 648027 888037 936039 1032043 2664111 2808117 3096129 7992333 8424351 9288387 11544481 13416559 23976999 27865161 34633443 38185591 40249677 103900329 114556773 120749031 311700987 343670319 362247093 496412683 1031010957 1489238049 4467714147 13403142441