Search a number
-
+
4140022135535 = 5111317529764301
BaseRepresentation
bin111100001111101100100…
…011000111101011101111
3112122210010021001011220222
4330033230203013223233
51020312231131314120
612445522214201555
7605051415344366
oct74175443075357
915583107034828
104140022135535
111356856624540
1256a4450532bb
1324053013ab80
141045418907dd
1572a58b00525
hex3c3ec8c7aef

4140022135535 has 64 divisors (see below), whose sum is σ = 6181152695424. Its totient is φ = 2615291904000.

The previous prime is 4140022135523. The next prime is 4140022135537. The reversal of 4140022135535 is 5355312200414.

It is not a de Polignac number, because 4140022135535 - 26 = 4140022135471 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4140022135495 and 4140022135504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140022135537) 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, 64352885 + ... + 64417185.

It is an arithmetic number, because the mean of its divisors is an integer number (96580510866).

Almost surely, 24140022135535 is an apocalyptic number.

4140022135535 is a deficient number, since it is larger than the sum of its proper divisors (2041130559889).

4140022135535 is a wasteful number, since it uses less digits than its factorization.

4140022135535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69644.

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 4140022135535 its reverse (5355312200414), we get a palindrome (9495334335949).

The spelling of 4140022135535 in words is "four trillion, one hundred forty billion, twenty-two million, one hundred thirty-five thousand, five hundred thirty-five".

Divisors: 1 5 11 13 17 55 65 85 143 187 221 715 935 1105 2431 5297 12155 26485 58267 64301 68861 90049 291335 321505 344305 450245 707311 757471 835913 990539 1093117 1170637 3536555 3787355 4179565 4952695 5465585 5853185 9195043 12024287 12877007 14210521 45975215 60121435 64385035 71052605 156315731 340602397 781578655 1703011985 3746626367 4427831161 5790240749 18733131835 22139155805 28951203745 48706142771 63692648239 75273129737 243530713855 318463241195 376365648685 828004427107 4140022135535