Search a number
-
+
4641140342124 = 223211136949129737
BaseRepresentation
bin100001110001001100110…
…0001010111110101101100
3121102200121001100200020100
41003202121201113311230
51102020023411421444
613512035504351100
7656211532666416
oct103423141276554
917380531320210
104641140342124
11152a329802110
1262b598615490
13278871b42640
141208bd3d19b6
1580ad79b3e69
hex43899857d6c

4641140342124 has 144 divisors (see below), whose sum is σ = 13784870080800. Its totient is φ = 1298024248320.

The previous prime is 4641140342119. The next prime is 4641140342207. The reversal of 4641140342124 is 4212430411464.

4641140342124 is a `hidden beast` number, since 4 + 641 + 1 + 4 + 0 + 3 + 4 + 2 + 1 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35708584 + ... + 35838320.

It is an arithmetic number, because the mean of its divisors is an integer number (95728264450).

Almost surely, 24641140342124 is an apocalyptic number.

4641140342124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4641140342124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892435040400).

4641140342124 is an abundant number, since it is smaller than the sum of its proper divisors (9143729738676).

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

4641140342124 is a wasteful number, since it uses less digits than its factorization.

4641140342124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136720 (or 136715 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 4641140342124 its reverse (4212430411464), we get a palindrome (8853570753588).

The spelling of 4641140342124 in words is "four trillion, six hundred forty-one billion, one hundred forty million, three hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 6949 13898 20847 27796 41694 62541 76439 83388 90337 125082 129737 152878 180674 229317 250164 259474 271011 305756 361348 389211 458634 518948 542022 687951 778422 813033 917268 993707 1084044 1167633 1375902 1427107 1556844 1626066 1686581 1987414 2335266 2751804 2854214 2981121 3252132 3373162 3974828 4281321 4670532 5059743 5708428 5962242 6746324 8562642 8943363 10119486 11924484 12843963 15179229 17125284 17886726 18552391 20238972 25687926 30358458 35773452 37104782 51375852 55657173 60716916 74209564 111314346 166971519 222628692 333943038 667886076 901542413 1803084826 2704627239 3606169652 5409254478 8113881717 9916966543 10818508956 11720051369 16227763434 19833933086 23440102738 29750899629 32455526868 35160154107 39667866172 46880205476 59501799258 70320308214 89252698887 105480462321 119003598516 128920565059 140640616428 178505397774 210960924642 257841130118 357010795548 386761695177 421921849284 515682260236 773523390354 1160285085531 1547046780708 2320570171062 4641140342124