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2143351140 = 22357223291093
BaseRepresentation
bin111111111000000…
…1111000101100100
312112101002112000120
41333300033011210
513342144214030
6552403241540
7104054120100
oct17760170544
95471075016
102143351140
119aa958487
124b99792b0
13282088b18
14164932900
15c827c010
hex7fc0f164

2143351140 has 288 divisors, whose sum is σ = 7542823680. Its totient is φ = 452035584.

The previous prime is 2143351121. The next prime is 2143351141. The reversal of 2143351140 is 411533412.

It is a happy number.

It is a super-3 number, since 3×21433511403 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2143351140.

It is not an unprimeable number, because it can be changed into a prime (2143351141) by changing a digit.

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, 1960434 + ... + 1961526.

It is an arithmetic number, because the mean of its divisors is an integer number (26190360).

Almost surely, 22143351140 is an apocalyptic number.

2143351140 is a gapful number since it is divisible by the number (20) 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 2143351140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771411840).

2143351140 is an abundant number, since it is smaller than the sum of its proper divisors (5399472540).

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

2143351140 is a wasteful number, since it uses less digits than its factorization.

2143351140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2143351140 is about 46296.3404601271. The cubic root of 2143351140 is about 1289.3310515204.

Adding to 2143351140 its reverse (411533412), we get a palindrome (2554884552).

The spelling of 2143351140 in words is "two billion, one hundred forty-three million, three hundred fifty-one thousand, one hundred forty".