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1141237044 = 2232615091021
BaseRepresentation
bin100010000000101…
…1110010100110100
32221112102211220200
41010001132110310
54314124041134
6305124400500
740165232463
oct10401362464
92845384820
101141237044
11536220312
1227a246130
1315258b5bc
14ab7d49da
156a2ce499
hex4405e534

1141237044 has 72 divisors (see below), whose sum is σ = 2940723240. Its totient is φ = 373075200.

The previous prime is 1141237021. The next prime is 1141237049. The reversal of 1141237044 is 4407321411.

It can be written as a sum of positive squares in 4 ways, for example, as 100400400 + 1040836644 = 10020^2 + 32262^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1141236999 and 1141237017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141237049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1117254 + ... + 1118274.

Almost surely, 21141237044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141237044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470361620).

1141237044 is an abundant number, since it is smaller than the sum of its proper divisors (1799486196).

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

1141237044 is a wasteful number, since it uses less digits than its factorization.

1141237044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1141237044 is about 33782.2001059730. The cubic root of 1141237044 is about 1045.0216471024.

Adding to 1141237044 its reverse (4407321411), we get a palindrome (5548558455).

The spelling of 1141237044 in words is "one billion, one hundred forty-one million, two hundred thirty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 509 549 732 1018 1021 1098 1527 2036 2042 2196 3054 3063 4084 4581 6108 6126 9162 9189 12252 18324 18378 31049 36756 62098 62281 93147 124196 124562 186294 186843 249124 279441 372588 373686 519689 558882 560529 747372 1039378 1117764 1121058 1559067 2078756 2242116 3118134 4677201 6236268 9354402 18708804 31701029 63402058 95103087 126804116 190206174 285309261 380412348 570618522 1141237044