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6142143300 = 223521947101227
BaseRepresentation
bin1011011100001100…
…11010101101000100
3120212001112012121220
411232012122231010
5100034342041200
62453251240340
7305131233216
oct55606325504
916761465556
106142143300
112672097197
121234ba90b0
1376b676827
14423a505b6
1525e3644a0
hex16e19ab44

6142143300 has 288 divisors, whose sum is σ = 19378759680. Its totient is φ = 1497024000.

The previous prime is 6142143269. The next prime is 6142143313. The reversal of 6142143300 is 33412416.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27057787 + ... + 27058013.

It is an arithmetic number, because the mean of its divisors is an integer number (67287360).

Almost surely, 26142143300 is an apocalyptic number.

6142143300 is a gapful number since it is divisible by the number (60) 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 6142143300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9689379840).

6142143300 is an abundant number, since it is smaller than the sum of its proper divisors (13236616380).

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

6142143300 is a wasteful number, since it uses less digits than its factorization.

6142143300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6142143300 is about 78371.8272085065. The cubic root of 6142143300 is about 1831.3582737567.

Adding to 6142143300 its reverse (33412416), we get a palindrome (6175555716).

The spelling of 6142143300 in words is "six billion, one hundred forty-two million, one hundred forty-three thousand, three hundred".