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1141132544325 = 32529209550733
BaseRepresentation
bin10000100110110000110…
…011001100100101000101
311001002110111012111222100
4100212300303030211011
5122144014412404300
62232121250422313
7145305220404564
oct20466063144505
94032414174870
101141132544325
113aaa51632384
121651aab91999
13837ba6945b7
143d334245bdb
151ea3baeb700
hex109b0ccc945

1141132544325 has 36 divisors (see below), whose sum is σ = 2044120836420. Its totient is φ = 608536830720.

The previous prime is 1141132544303. The next prime is 1141132544371. The reversal of 1141132544325 is 5234452311411.

1141132544325 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 1 + 325 + 4 + 4 + 325 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1905060609 + 1139227483716 = 43647^2 + 1067346^2 .

It is not a de Polignac number, because 1141132544325 - 26 = 1141132544261 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1141132544325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1796659 + ... + 2347391.

It is an arithmetic number, because the mean of its divisors is an integer number (56781134345).

Almost surely, 21141132544325 is an apocalyptic number.

1141132544325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1141132544325 is a deficient number, since it is larger than the sum of its proper divisors (902988292095).

1141132544325 is a wasteful number, since it uses less digits than its factorization.

1141132544325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559958 (or 559950 counting only the distinct ones).

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

Adding to 1141132544325 its reverse (5234452311411), we get a palindrome (6375584855736).

The spelling of 1141132544325 in words is "one trillion, one hundred forty-one billion, one hundred thirty-two million, five hundred forty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 9209 27627 46045 82881 138135 230225 414405 550733 690675 1652199 2072025 2753665 4956597 8260995 13768325 24782985 41304975 123914925 5071700197 15215100591 25358500985 45645301773 76075502955 126792504925 228226508865 380377514775 1141132544325