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4142410100 = 2252112336887
BaseRepresentation
bin1111011011101000…
…0010100101110100
3101200200200020101022
43312322002211310
531440424110400
61523014120312
7204436622243
oct36672024564
911620606338
104142410100
111836312024
12977350098
13510293a4a
142b422495a
15193a05b85
hexf6e82974

4142410100 has 36 divisors (see below), whose sum is σ = 8997278304. Its totient is φ = 1655443680.

The previous prime is 4142410087. The next prime is 4142410121. The reversal of 4142410100 is 10142414.

It is a super-2 number, since 2×41424101002 = 34319122873164020000, which 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 11 ways as a sum of consecutive naturals, for example, 93857 + ... + 130743.

Almost surely, 24142410100 is an apocalyptic number.

It is an amenable number.

4142410100 is an abundant number, since it is smaller than the sum of its proper divisors (4854868204).

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

4142410100 is a wasteful number, since it uses less digits than its factorization.

4142410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38024 (or 38017 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4142410100 is about 64361.5576256510. The cubic root of 4142410100 is about 1606.0203008455.

Adding to 4142410100 its reverse (10142414), we get a palindrome (4152552514).

The spelling of 4142410100 in words is "four billion, one hundred forty-two million, four hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1123 2246 4492 5615 11230 22460 28075 36887 56150 73774 112300 147548 184435 368870 737740 922175 1844350 3688700 41424101 82848202 165696404 207120505 414241010 828482020 1035602525 2071205050 4142410100