Search a number
-
+
4055131080 = 2333571131331
BaseRepresentation
bin1111000110110100…
…0110001111001000
3101110121110000002000
43301231012033020
531301103143310
61510215311000
7202330021410
oct36155061710
911417400060
104055131080
1117a101a000
1295207b460
134c8185460
142a67c5640
1518b0154c0
hexf1b463c8

4055131080 has 1024 divisors, whose sum is σ = 18889113600. Its totient is φ = 752716800.

The previous prime is 4055131079. The next prime is 4055131097. The reversal of 4055131080 is 801315504.

4055131080 is a `hidden beast` number, since 4 + 0 + 551 + 3 + 108 + 0 = 666.

4055131080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 130810665 + ... + 130810695.

It is an arithmetic number, because the mean of its divisors is an integer number (18446400).

Almost surely, 24055131080 is an apocalyptic number.

4055131080 is a gapful number since it is divisible by the number (40) 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 4055131080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9444556800).

4055131080 is an abundant number, since it is smaller than the sum of its proper divisors (14833982520).

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

4055131080 is a wasteful number, since it uses less digits than its factorization.

4055131080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 4055131080 is about 63679.9111180284. The cubic root of 4055131080 is about 1594.6607284730.

Adding to 4055131080 its reverse (801315504), we get a palindrome (4856446584).

It can be divided in two parts, 40551 and 31080, that added together give a triangular number (71631 = T378).

The spelling of 4055131080 in words is "four billion, fifty-five million, one hundred thirty-one thousand, eighty".