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4142314140 = 2235334720627
BaseRepresentation
bin1111011011100110…
…1011001010011100
3101200200111100202020
43312321223022130
531440413023030
61523012100140
7204436042416
oct36671531234
911620440666
104142314140
111836256a18
12977304650
1351025c173
142b41db9b6
151939d7510
hexf6e6b29c

4142314140 has 48 divisors (see below), whose sum is σ = 11602507392. Its totient is φ = 1104233536.

The previous prime is 4142314103. The next prime is 4142314199. The reversal of 4142314140 is 414132414.

It is a self number, because there is not a number n which added to its sum of digits gives 4142314140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190507 + ... + 211133.

It is an arithmetic number, because the mean of its divisors is an integer number (241718904).

Almost surely, 24142314140 is an apocalyptic number.

It is an amenable number.

4142314140 is an abundant number, since it is smaller than the sum of its proper divisors (7460193252).

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

4142314140 is a wasteful number, since it uses less digits than its factorization.

4142314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23986 (or 23984 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4142314140 is about 64360.8121452798. The cubic root of 4142314140 is about 1606.0078994580.

Adding to 4142314140 its reverse (414132414), we get a palindrome (4556446554).

The spelling of 4142314140 in words is "four billion, one hundred forty-two million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3347 6694 10041 13388 16735 20082 20627 33470 40164 41254 50205 61881 66940 82508 100410 103135 123762 200820 206270 247524 309405 412540 618810 1237620 69038569 138077138 207115707 276154276 345192845 414231414 690385690 828462828 1035578535 1380771380 2071157070 4142314140