Search a number
-
+
7142310318 = 231121337113181
BaseRepresentation
bin1101010011011011…
…10000000110101110
3200102202111221211210
412221231300012232
5104111412412233
63140420255250
7341664431103
oct65155600656
920382457753
107142310318
113035714500
121473b41526
1389a941a30
144ba802aaa
152bc07a163
hex1a9b701ae

7142310318 has 192 divisors, whose sum is σ = 17616545856. Its totient is φ = 1916006400.

The previous prime is 7142310293. The next prime is 7142310353. The reversal of 7142310318 is 8130132417.

It is a super-2 number, since 2×71423103182 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39460188 + ... + 39460368.

It is an arithmetic number, because the mean of its divisors is an integer number (91752843).

Almost surely, 27142310318 is an apocalyptic number.

7142310318 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7142310318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8808272928).

7142310318 is an abundant number, since it is smaller than the sum of its proper divisors (10474235538).

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

7142310318 is a wasteful number, since it uses less digits than its factorization.

7142310318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 7142310318 is about 84512.1903514517. The cubic root of 7142310318 is about 1925.8076393365.

The spelling of 7142310318 in words is "seven billion, one hundred forty-two million, three hundred ten thousand, three hundred eighteen".