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1141225857 = 32412241313
BaseRepresentation
bin100010000000101…
…1011100110000001
32221112102021120100
41010001123212001
54314123211412
6305124233013
740165155042
oct10401334601
92845367510
101141225857
11536212972
1227a23b769
13152586495
14ab7d08c9
156a2caedc
hex4405b981

1141225857 has 36 divisors (see below), whose sum is σ = 1702055212. Its totient is φ = 736819200.

The previous prime is 1141225853. The next prime is 1141225859. The reversal of 1141225857 is 7585221411.

It is a happy number.

1141225857 is a `hidden beast` number, since 11 + 41 + 22 + 585 + 7 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 569824641 + 571401216 = 23871^2 + 23904^2 .

It is not a de Polignac number, because 1141225857 - 22 = 1141225853 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1141225853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3645933 + ... + 3646245.

Almost surely, 21141225857 is an apocalyptic number.

It is an amenable number.

1141225857 is a deficient number, since it is larger than the sum of its proper divisors (560829355).

1141225857 is a wasteful number, since it uses less digits than its factorization.

1141225857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 598 counting only the distinct ones).

The product of its digits is 22400, while the sum is 36.

The square root of 1141225857 is about 33782.0345302055. The cubic root of 1141225857 is about 1045.0182324757.

The spelling of 1141225857 in words is "one billion, one hundred forty-one million, two hundred twenty-five thousand, eight hundred fifty-seven".

Divisors: 1 3 9 41 123 241 313 369 723 939 1681 2169 2817 5043 9881 12833 15129 29643 38499 75433 88929 115497 226299 405121 526153 678897 1215363 1578459 3092753 3646089 4735377 9278259 27834777 126802873 380408619 1141225857