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1141333414432 = 25411814806181
BaseRepresentation
bin10000100110111100110…
…001011101001000100000
311001002222111011202221221
4100212330301131020200
5122144422323230212
62232153224024424
7145313206644661
oct20467461351040
94032874152857
101141333414432
11400044a5a032
12165246302114
1383820194953
143d352bb3368
151ea4e578807
hex109bcc5d220

1141333414432 has 48 divisors (see below), whose sum is σ = 2314522678104. Its totient is φ = 553671936000.

The previous prime is 1141333414363. The next prime is 1141333414453. The reversal of 1141333414432 is 2344143331411.

It can be written as a sum of positive squares in 4 ways, for example, as 65043361296 + 1076290053136 = 255036^2 + 1037444^2 .

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 7 ways as a sum of consecutive naturals, for example, 2165619 + ... + 2640562.

Almost surely, 21141333414432 is an apocalyptic number.

It is an amenable number.

1141333414432 is an abundant number, since it is smaller than the sum of its proper divisors (1173189263672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1141333414432 is a wasteful number, since it uses less digits than its factorization.

1141333414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806413 (or 4806405 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

Adding to 1141333414432 its reverse (2344143331411), we get a palindrome (3485476745843).

The spelling of 1141333414432 in words is "one trillion, one hundred forty-one billion, three hundred thirty-three million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 181 328 362 656 724 1312 1448 2896 5792 7421 14842 29684 59368 118736 237472 4806181 9612362 19224724 38449448 76898896 153797792 197053421 394106842 788213684 869918761 1576427368 1739837522 3152854736 3479675044 6305709472 6959350088 13918700176 27837400352 35666669201 71333338402 142666676804 285333353608 570666707216 1141333414432