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4142232204 = 22311210312767
BaseRepresentation
bin1111011011100101…
…0111001010001100
3101200200100012100120
43312321113022030
531440402412304
61523010224540
7204435251505
oct36671271214
911620305316
104142232204
111836200400
12977285150
13510230a96
142b41b9bac
151939bd0d9
hexf6e5728c

4142232204 has 72 divisors (see below), whose sum is σ = 10637889024. Its totient is φ = 1253551200.

The previous prime is 4142232203. The next prime is 4142232209. The reversal of 4142232204 is 4022322414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142232203) 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, 1495629 + ... + 1498395.

Almost surely, 24142232204 is an apocalyptic number.

4142232204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142232204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318944512).

4142232204 is an abundant number, since it is smaller than the sum of its proper divisors (6495656820).

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

4142232204 is a wasteful number, since it uses less digits than its factorization.

4142232204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4142232204 is about 64360.1756057269. The cubic root of 4142232204 is about 1605.9973103101.

Adding to 4142232204 its reverse (4022322414), we get a palindrome (8164554618).

The spelling of 4142232204 in words is "four billion, one hundred forty-two million, two hundred thirty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1031 1452 2062 2767 3093 4124 5534 6186 8301 11068 11341 12372 16602 22682 30437 33204 34023 45364 60874 68046 91311 121748 124751 136092 182622 249502 334807 365244 374253 499004 669614 748506 1004421 1339228 1497012 2008842 2852777 4017684 5705554 8558331 11411108 17116662 31380547 34233324 62761094 94141641 125522188 188283282 345186017 376566564 690372034 1035558051 1380744068 2071116102 4142232204