Search a number
-
+
4144242035511 = 321980929957149
BaseRepresentation
bin111100010011101000000…
…100110000101100110111
3112200012000100112022102200
4330103220010300230313
51020344401430114021
612451501041235543
7605261116036644
oct74235004605467
915605010468380
104144242035511
111358621652886
1256b222332bb3
13240a534935c6
141048220c6dcb
1572c04311126
hex3c4e8130b37

4144242035511 has 24 divisors (see below), whose sum is σ = 6308975790000. Its totient is φ = 2614180563072.

The previous prime is 4144242035467. The next prime is 4144242035569. The reversal of 4144242035511 is 1155302424414.

4144242035511 is a `hidden beast` number, since 4 + 1 + 442 + 4 + 203 + 5 + 5 + 1 + 1 = 666.

It is not a de Polignac number, because 4144242035511 - 221 = 4144239938359 is a prime.

It is a super-2 number, since 2×41442420355112 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144242035411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14840236 + ... + 15116913.

It is an arithmetic number, because the mean of its divisors is an integer number (262873991250).

Almost surely, 24144242035511 is an apocalyptic number.

4144242035511 is a deficient number, since it is larger than the sum of its proper divisors (2164733754489).

4144242035511 is a wasteful number, since it uses less digits than its factorization.

4144242035511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29957983 (or 29957980 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 4144242035511 its reverse (1155302424414), we get a palindrome (5299544459925).

The spelling of 4144242035511 in words is "four trillion, one hundred forty-four billion, two hundred forty-two million, thirty-five thousand, five hundred eleven".

Divisors: 1 3 9 19 57 171 809 2427 7281 15371 46113 138339 29957149 89871447 269614341 569185831 1707557493 5122672479 24235333541 72706000623 218118001869 460471337279 1381414011837 4144242035511