Search a number
-
+
4040403312 = 2431114095431
BaseRepresentation
bin1111000011010011…
…1010100101110000
3101102120201202101010
43300310322211300
531233320401222
61504531510520
7202060601331
oct36064724560
911376652333
104040403312
11179377a8a0
12949158440
134c50c99ba
142a4870288
15189aa680c
hexf0d3a970

4040403312 has 80 divisors (see below), whose sum is σ = 11396770560. Its totient is φ = 1223270400.

The previous prime is 4040403271. The next prime is 4040403313. The reversal of 4040403312 is 2133040404.

4040403312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040403313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741237 + ... + 746667.

It is an arithmetic number, because the mean of its divisors is an integer number (142459632).

Almost surely, 24040403312 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 4040403312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5698385280).

4040403312 is an abundant number, since it is smaller than the sum of its proper divisors (7356367248).

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

4040403312 is a wasteful number, since it uses less digits than its factorization.

4040403312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6862 (or 6856 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4040403312 is about 63564.1668866980. The cubic root of 4040403312 is about 1592.7278453467.

Adding to 4040403312 its reverse (2133040404), we get a palindrome (6173443716).

The spelling of 4040403312 in words is "four billion, forty million, four hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1409 2818 4227 5431 5636 8454 10862 11272 15499 16293 16908 21724 22544 30998 32586 33816 43448 46497 59741 61996 65172 67632 86896 92994 119482 123992 130344 179223 185988 238964 247984 260688 358446 371976 477928 716892 743952 955856 1433784 2867568 7652279 15304558 22956837 30609116 45913674 61218232 84175069 91827348 122436464 168350138 183654696 252525207 336700276 367309392 505050414 673400552 1010100828 1346801104 2020201656 4040403312