Search a number
-
+
1142119636 = 2272171272699
BaseRepresentation
bin100010000010011…
…0101110011010100
32221121002200121021
41010010311303110
54314340312021
6305155330524
740205566600
oct10404656324
92847080537
101142119636
11536773429
1227a5b0a44
1315280a248
14ab984500
156a405c41
hex44135cd4

1142119636 has 72 divisors (see below), whose sum is σ = 2482099200. Its totient is φ = 456890112.

The previous prime is 1142119609. The next prime is 1142119637. The reversal of 1142119636 is 6369112411.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142119637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421815 + ... + 424513.

It is an arithmetic number, because the mean of its divisors is an integer number (34473600).

Almost surely, 21142119636 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 1142119636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241049600).

1142119636 is an abundant number, since it is smaller than the sum of its proper divisors (1339979564).

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

1142119636 is a wasteful number, since it uses less digits than its factorization.

1142119636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2852 counting only the distinct ones).

The product of its digits is 7776, while the sum is 34.

The square root of 1142119636 is about 33795.2605552909. The cubic root of 1142119636 is about 1045.2909718342.

It can be divided in two parts, 114211963 and 6, that added together give a square (114211969 = 106872).

The spelling of 1142119636 in words is "one billion, one hundred forty-two million, one hundred nineteen thousand, six hundred thirty-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 127 196 238 254 476 508 833 889 1666 1778 2159 2699 3332 3556 4318 5398 6223 8636 10796 12446 15113 18893 24892 30226 37786 45883 60452 75572 91766 105791 132251 183532 211582 264502 321181 342773 423164 529004 642362 685546 1284724 1371092 2248267 2399411 4496534 4798822 5827141 8993068 9597644 11654282 16795877 23308564 33591754 40789987 67183508 81579974 163159948 285529909 571059818 1142119636