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1053440515413 = 3211131018104199
BaseRepresentation
bin11110101010001011111…
…00101001110101010101
310201201010002011212222200
433111011330221311111
5114224421232443123
62123535514115113
7136052144431656
oct17250574516525
93651102155880
101053440515413
11376841787110
121501b711ba99
1378453a786b0
1438db5a8d52d
151c6081b8143
hexf545f29d55

1053440515413 has 48 divisors (see below), whose sum is σ = 1805356425600. Its totient is φ = 583502256000.

The previous prime is 1053440515411. The next prime is 1053440515417. The reversal of 1053440515413 is 3145150443501.

1053440515413 is a `hidden beast` number, since 1 + 0 + 53 + 440 + 5 + 154 + 13 = 666.

It is not a de Polignac number, because 1053440515413 - 21 = 1053440515411 is a prime.

It is a super-2 number, since 2×10534405154132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053440515411) 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, 3922113 + ... + 4182086.

It is an arithmetic number, because the mean of its divisors is an integer number (37611592200).

Almost surely, 21053440515413 is an apocalyptic number.

1053440515413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1053440515413 is a deficient number, since it is larger than the sum of its proper divisors (751915910187).

1053440515413 is a wasteful number, since it uses less digits than its factorization.

1053440515413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8104330 (or 8104327 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 1053440515413 its reverse (3145150443501), we get a palindrome (4198590958914).

The spelling of 1053440515413 in words is "one trillion, fifty-three billion, four hundred forty million, five hundred fifteen thousand, four hundred thirteen".

Divisors: 1 3 9 11 13 33 39 99 101 117 143 303 429 909 1111 1287 1313 3333 3939 9999 11817 14443 43329 129987 8104199 24312597 72937791 89146189 105354587 267438567 316063761 802315701 818524099 948191283 1158900457 2455572297 3476701371 7366716891 9003765089 10430104113 10640813287 27011295267 31922439861 81033885801 95767319583 117048946157 351146838471 1053440515413