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1141042403133 = 32473179419043
BaseRepresentation
bin10000100110101011011…
…011010101011100111101
311001002020012120212111200
4100212223123111130331
5122143323323400013
62232104310410113
7145303044253353
oct20465333253475
94032205525450
101141042403133
113aaa05764a26
12165184960939
13837a4ac3309
143d32629d7d3
151ea33c42e73
hex109ab6d573d

1141042403133 has 48 divisors (see below), whose sum is σ = 1690531105536. Its totient is φ = 741290647680.

The previous prime is 1141042403131. The next prime is 1141042403147. The reversal of 1141042403133 is 3313042401411.

1141042403133 is a `hidden beast` number, since 1 + 1 + 4 + 104 + 240 + 313 + 3 = 666.

It is not a de Polignac number, because 1141042403133 - 21 = 1141042403131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1141042403097 and 1141042403106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141042403131) 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, 126175110 + ... + 126184152.

It is an arithmetic number, because the mean of its divisors is an integer number (35219398032).

Almost surely, 21141042403133 is an apocalyptic number.

It is an amenable number.

1141042403133 is a deficient number, since it is larger than the sum of its proper divisors (549488702403).

1141042403133 is a wasteful number, since it uses less digits than its factorization.

1141042403133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10354 (or 10351 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1141042403133 its reverse (3313042401411), we get a palindrome (4454084804544).

The spelling of 1141042403133 in words is "one trillion, one hundred forty-one billion, forty-two million, four hundred three thousand, one hundred thirty-three".

Divisors: 1 3 9 47 141 317 423 941 951 2823 2853 8469 9043 14899 27129 44227 44697 81387 132681 134091 298297 398043 425021 894891 1275063 2684673 2866631 3825189 8509463 8599893 14019959 25528389 25799679 42059877 76585167 126179631 134731657 399944761 404194971 1199834283 1212584913 2697499771 3599502849 8092499313 24277497939 126782489237 380347467711 1141042403133