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1141133413041 = 33199229792461
BaseRepresentation
bin10000100110110000110…
…110100000101010110001
311001002110112211122122000
4100212300312200222301
5122144020123204131
62232121321204213
7145305230653356
oct20466066405261
94032415748560
101141133413041
113aaa52076026
121651ab330669
13837ba909b2b
143d3343d062d
151ea3bc1dce6
hex109b0da0ab1

1141133413041 has 32 divisors (see below), whose sum is σ = 1699821408000. Its totient is φ = 756595002240.

The previous prime is 1141133413003. The next prime is 1141133413097. The reversal of 1141133413041 is 1403143311411.

1141133413041 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 13 + 341 + 304 + 1 = 666.

It is not a de Polignac number, because 1141133413041 - 210 = 1141133412017 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1141133412996 and 1141133413014.

It is not an unprimeable number, because it can be changed into a prime (1141133413141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12295551 + ... + 12388011.

It is an arithmetic number, because the mean of its divisors is an integer number (53119419000).

Almost surely, 21141133413041 is an apocalyptic number.

It is an amenable number.

1141133413041 is a deficient number, since it is larger than the sum of its proper divisors (558687994959).

1141133413041 is a wasteful number, since it uses less digits than its factorization.

1141133413041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94966 (or 94960 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1141133413041 its reverse (1403143311411), we get a palindrome (2544276724452).

The spelling of 1141133413041 in words is "one trillion, one hundred forty-one billion, one hundred thirty-three million, four hundred thirteen thousand, forty-one".

Divisors: 1 3 9 27 199 597 1791 2297 5373 6891 20673 62019 92461 277383 457103 832149 1371309 2496447 4113927 12341781 18399739 55199217 165597651 212382917 496792953 637148751 1911446253 5734338759 42264200483 126792601449 380377804347 1141133413041