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4142304232 = 2311236733041
BaseRepresentation
bin1111011011100110…
…1000101111101000
3101200200110212011021
43312321220233220
531440412213412
61523011542224
7204436001503
oct36671505750
911620425137
104142304232
11183624a530
129772ba974
135102577c1
142b41d813a
151939d4607
hexf6e68be8

4142304232 has 64 divisors (see below), whose sum is σ = 8857330560. Its totient is φ = 1797734400.

The previous prime is 4142304217. The next prime is 4142304241. The reversal of 4142304232 is 2324032414.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4142304197 and 4142304206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1360632 + ... + 1363672.

It is an arithmetic number, because the mean of its divisors is an integer number (138395790).

Almost surely, 24142304232 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 4142304232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428665280).

4142304232 is an abundant number, since it is smaller than the sum of its proper divisors (4715026328).

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

4142304232 is a wasteful number, since it uses less digits than its factorization.

4142304232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4142304232 is about 64360.7351729298. The cubic root of 4142304232 is about 1606.0066189870.

Adding to 4142304232 its reverse (2324032414), we get a palindrome (6466336646).

The spelling of 4142304232 in words is "four billion, one hundred forty-two million, three hundred four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 673 1012 1346 2024 2692 3041 5384 6082 7403 12164 14806 15479 24328 29612 30958 33451 59224 61916 66902 69943 123832 133804 139886 170269 267608 279772 340538 559544 681076 769373 1362152 1538746 2046593 3077492 4093186 6154984 8186372 16372744 22512523 45025046 47071639 90050092 94143278 180100184 188286556 376573112 517788029 1035576058 2071152116 4142304232