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6142103540 = 22523127105137
BaseRepresentation
bin1011011100001100…
…10000111111110100
3120212001110012002022
411232012100333310
5100034334303130
62453250332312
7305131006256
oct55606207764
916761405068
106142103540
11267206a331
121234b8a098
1376b6616c1
14423a3dcd6
1525e3577e5
hex16e190ff4

6142103540 has 48 divisors (see below), whose sum is σ = 13565325312. Its totient is φ = 2331495936.

The previous prime is 6142103467. The next prime is 6142103549. The reversal of 6142103540 is 453012416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6142103549) 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, 5852 + ... + 110988.

It is an arithmetic number, because the mean of its divisors is an integer number (282610944).

Almost surely, 26142103540 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 6142103540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6782662656).

6142103540 is an abundant number, since it is smaller than the sum of its proper divisors (7423221772).

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

6142103540 is a wasteful number, since it uses less digits than its factorization.

6142103540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105296 (or 105294 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 6142103540 is about 78371.5735455146. The cubic root of 6142103540 is about 1831.3543220980.

Adding to 6142103540 its reverse (453012416), we get a palindrome (6595115956).

The spelling of 6142103540 in words is "six billion, one hundred forty-two million, one hundred three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 127 230 254 460 508 635 1270 2540 2921 5842 11684 14605 29210 58420 105137 210274 420548 525685 1051370 2102740 2418151 4836302 9672604 12090755 13352399 24181510 26704798 48363020 53409596 66761995 133523990 267047980 307105177 614210354 1228420708 1535525885 3071051770 6142103540