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1240131141 = 34412571453
BaseRepresentation
bin100100111101010…
…1110011001000101
310012102112012010000
41021322232121011
510014433144031
6323020151513
742505640454
oct11172563105
93172465100
101240131141
11587026977
122a7398599
13169c05912
14ba9b8b9b
1573d163e6
hex49eae645

1240131141 has 40 divisors (see below), whose sum is σ = 1906420824. Its totient is φ = 802897920.

The previous prime is 1240131127. The next prime is 1240131149. The reversal of 1240131141 is 1411310421.

It can be written as a sum of positive squares in 4 ways, for example, as 582208641 + 657922500 = 24129^2 + 25650^2 .

It is not a de Polignac number, because 1240131141 - 26 = 1240131077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240131149) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 852771 + ... + 854223.

Almost surely, 21240131141 is an apocalyptic number.

It is an amenable number.

1240131141 is a deficient number, since it is larger than the sum of its proper divisors (666289683).

1240131141 is a wasteful number, since it uses less digits than its factorization.

1240131141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1240131141 is about 35215.4957511605. The cubic root of 1240131141 is about 1074.3749432124.

Adding to 1240131141 its reverse (1411310421), we get a palindrome (2651441562).

It can be divided in two parts, 1240131 and 141, that multiplied together give a palindrome (174858471).

The spelling of 1240131141 in words is "one billion, two hundred forty million, one hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 9 27 41 81 123 257 369 771 1107 1453 2313 3321 4359 6939 10537 13077 20817 31611 39231 59573 94833 117693 178719 284499 373421 536157 853497 1120263 1608471 3360789 4825413 10082367 15310261 30247101 45930783 137792349 413377047 1240131141