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4142301400 = 2352167124021
BaseRepresentation
bin1111011011100110…
…1000000011011000
3101200200110201021101
43312321220003120
531440412121100
61523011521144
7204435660316
oct36671500330
911620421241
104142301400
111836248396
129772b91b4
13510256423
142b41d70b6
151939d386a
hexf6e680d8

4142301400 has 48 divisors (see below), whose sum is σ = 9688598640. Its totient is φ = 1646985600.

The previous prime is 4142301389. The next prime is 4142301407. The reversal of 4142301400 is 41032414.

4142301400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142301407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28611 + ... + 95410.

It is an arithmetic number, because the mean of its divisors is an integer number (201845805).

Almost surely, 24142301400 is an apocalyptic number.

4142301400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142301400 is an abundant number, since it is smaller than the sum of its proper divisors (5546297240).

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

4142301400 is a wasteful number, since it uses less digits than its factorization.

4142301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124204 (or 124195 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4142301400 is about 64360.7131719343. The cubic root of 4142301400 is about 1606.0062529901.

Adding to 4142301400 its reverse (41032414), we get a palindrome (4183333814).

The spelling of 4142301400 in words is "four billion, one hundred forty-two million, three hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 167 200 334 668 835 1336 1670 3340 4175 6680 8350 16700 33400 124021 248042 496084 620105 992168 1240210 2480420 3100525 4960840 6201050 12402100 20711507 24804200 41423014 82846028 103557535 165692056 207115070 414230140 517787675 828460280 1035575350 2071150700 4142301400