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1141058142 = 232789971049
BaseRepresentation
bin100010000000011…
…0010101001011110
32221112002202111200
41010000302221132
54314102330032
6305120500330
740163556060
oct10400625136
92845082450
101141058142
11536108964
1227a17a6a6
13152528043
14ab789730
156a29647c
hex44032a5e

1141058142 has 96 divisors (see below), whose sum is σ = 2889432000. Its totient is φ = 318726144.

The previous prime is 1141058119. The next prime is 1141058143. The reversal of 1141058142 is 2418501411.

It is a happy number.

1141058142 is a `hidden beast` number, since 1 + 1 + 41 + 0 + 581 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141058143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087234 + ... + 1088282.

It is an arithmetic number, because the mean of its divisors is an integer number (30098250).

Almost surely, 21141058142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141058142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444716000).

1141058142 is an abundant number, since it is smaller than the sum of its proper divisors (1748373858).

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

1141058142 is a wasteful number, since it uses less digits than its factorization.

1141058142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1141058142 is about 33779.5521284697. The cubic root of 1141058142 is about 1044.9670378712.

Adding to 1141058142 its reverse (2418501411), we get a palindrome (3559559553).

The spelling of 1141058142 in words is "one billion, one hundred forty-one million, fifty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 89 97 126 178 194 267 291 534 582 623 679 801 873 1049 1246 1358 1602 1746 1869 2037 2098 3147 3738 4074 5607 6111 6294 7343 8633 9441 11214 12222 14686 17266 18882 22029 25899 44058 51798 60431 66087 77697 93361 101753 120862 132174 155394 181293 186722 203506 280083 305259 362586 543879 560166 610518 653527 712271 840249 915777 1087758 1307054 1424542 1680498 1831554 1960581 2136813 3921162 4273626 5881743 6410439 9056017 11763486 12820878 18112034 27168051 54336102 63392119 81504153 126784238 163008306 190176357 380352714 570529071 1141058142