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4144166614413 = 327241439621749
BaseRepresentation
bin111100010011100011100…
…101000011010110001101
3112200011211002121112010200
4330103203211003112031
51020344223123130123
612451445344524113
7605256212004240
oct74234345032615
915604732545120
104144166614413
1113585930198a1
1256b201020639
13240a40977437
14104816093257
1572bec8b4143
hex3c4e394358d

4144166614413 has 48 divisors (see below), whose sum is σ = 6885209760000. Its totient is φ = 2352893391360.

The previous prime is 4144166614409. The next prime is 4144166614433. The reversal of 4144166614413 is 3144166614414.

4144166614413 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 4144166614413 - 22 = 4144166614409 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144166614433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6354463 + ... + 6976211.

It is an arithmetic number, because the mean of its divisors is an integer number (143441870000).

Almost surely, 24144166614413 is an apocalyptic number.

It is an amenable number.

4144166614413 is a deficient number, since it is larger than the sum of its proper divisors (2741043145587).

4144166614413 is a wasteful number, since it uses less digits than its factorization.

4144166614413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622442 (or 622439 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

Subtracting from 4144166614413 its reverse (3144166614414), we obtain a palindrome (999999999999).

The spelling of 4144166614413 in words is "four trillion, one hundred forty-four billion, one hundred sixty-six million, six hundred fourteen thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 63 241 439 723 1317 1687 2169 3073 3951 5061 9219 15183 27657 105799 317397 621749 740593 952191 1865247 2221779 4352243 5595741 6665337 13056729 39170187 149841509 272947811 449524527 818843433 1048890563 1348573581 1910634677 2456530299 3146671689 5731904031 9440015067 17195712093 65780422451 197341267353 460462957157 592023802059 1381388871471 4144166614413