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4141444125 = 353713157773
BaseRepresentation
bin1111011011011001…
…0110110000011101
3101200121212011022110
43312312112300131
531440202203000
61522541304233
7204425460060
oct36666266035
911617764273
104141444125
1118358122a5
12976b65079
13510016170
142b40528d7
151938b4850
hexf6d96c1d

4141444125 has 128 divisors (see below), whose sum is σ = 8546743296. Its totient is φ = 1734220800.

The previous prime is 4141444121. The next prime is 4141444183. The reversal of 4141444125 is 5214441414.

It is not a de Polignac number, because 4141444125 - 22 = 4141444121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4141444092 and 4141444101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141444121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5357239 + ... + 5358011.

It is an arithmetic number, because the mean of its divisors is an integer number (66771432).

Almost surely, 24141444125 is an apocalyptic number.

It is an amenable number.

4141444125 is an abundant number, since it is smaller than the sum of its proper divisors (4405299171).

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

4141444125 is a wasteful number, since it uses less digits than its factorization.

4141444125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 958 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

The square root of 4141444125 is about 64354.0529026727. The cubic root of 4141444125 is about 1605.8954543570.

Adding to 4141444125 its reverse (5214441414), we get a palindrome (9355885539).

The spelling of 4141444125 in words is "four billion, one hundred forty-one million, four hundred forty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 125 157 175 195 273 325 375 455 471 525 773 785 875 975 1099 1365 1625 2041 2275 2319 2355 2625 3297 3865 3925 4875 5411 5495 6123 6825 10049 10205 11375 11595 11775 14287 16233 16485 19325 19625 27055 27475 30147 30615 34125 42861 50245 51025 57975 58875 70343 71435 81165 82425 96625 121361 135275 137375 150735 153075 211029 214305 251225 255125 289875 351715 357175 364083 405825 412125 606805 676375 753675 765375 849527 1055145 1071525 1256125 1577693 1758575 1785875 1820415 2029125 2548581 3034025 3768375 4247635 4733079 5275725 5357625 7888465 8792875 9102075 11043851 12742905 15170125 21238175 23665395 26378625 33131553 39442325 45510375 55219255 63714525 106190875 118326975 165657765 197211625 276096275 318572625 591634875 828288825 1380481375 4141444125