Search a number
-
+
4040100141 = 3711312412341
BaseRepresentation
bin1111000011001111…
…0000100100101101
3101102120011100111120
43300303300210231
531233231201031
61504521211153
7202055166420
oct36063604455
911376140446
104040100141
111793593040
12949030ab9
134c50219cc
142a47d19b7
15189a46a96
hexf0cf092d

4040100141 has 64 divisors (see below), whose sum is σ = 6964396032. Its totient is φ = 2021760000.

The previous prime is 4040100061. The next prime is 4040100157. The reversal of 4040100141 is 1410010404.

4040100141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4040100141 - 213 = 4040091949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4040100141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040100161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1724631 + ... + 1726971.

It is an arithmetic number, because the mean of its divisors is an integer number (108818688).

Almost surely, 24040100141 is an apocalyptic number.

It is an amenable number.

4040100141 is a deficient number, since it is larger than the sum of its proper divisors (2924295891).

4040100141 is a wasteful number, since it uses less digits than its factorization.

4040100141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4040100141 is about 63561.7820785415. The cubic root of 4040100141 is about 1592.6880076594.

Adding to 4040100141 its reverse (1410010404), we get a palindrome (5450110545).

The spelling of 4040100141 in words is "four billion, forty million, one hundred thousand, one hundred forty-one".

Divisors: 1 3 7 11 21 31 33 77 93 217 231 241 341 651 723 1023 1687 2341 2387 2651 5061 7023 7161 7471 7953 16387 18557 22413 25751 49161 52297 55671 72571 77253 82181 156891 180257 217713 246543 507997 540771 564181 575267 798281 1523991 1692543 1725801 2394843 3949267 5587967 6205991 11847801 16763901 17489611 18617973 43441937 52468833 122427277 130325811 192385721 367281831 577157163 1346700047 4040100141