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4141626345 = 325853107897
BaseRepresentation
bin1111011011011100…
…0011001111101001
3101200122012102021100
43312313003033221
531440224020340
61522545232013
7204430146243
oct36667031751
911618172240
104141626345
11183592719a
12977032609
1351007b09c
142b409d093
151938ed830
hexf6dc33e9

4141626345 has 24 divisors (see below), whose sum is σ = 7187301576. Its totient is φ = 2206257408.

The previous prime is 4141626341. The next prime is 4141626367. The reversal of 4141626345 is 5436261414.

4141626345 is a `hidden beast` number, since 4 + 1 + 4 + 16 + 2 + 634 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1089936 + 4140536409 = 1044^2 + 64347^2 .

It is not a de Polignac number, because 4141626345 - 22 = 4141626341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4141626341) 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, 15564 + ... + 92333.

It is an arithmetic number, because the mean of its divisors is an integer number (299470899).

Almost surely, 24141626345 is an apocalyptic number.

4141626345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4141626345 is a deficient number, since it is larger than the sum of its proper divisors (3045675231).

4141626345 is a wasteful number, since it uses less digits than its factorization.

4141626345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108761 (or 108758 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4141626345 is about 64355.4686487481. The cubic root of 4141626345 is about 1605.9190066871.

Adding to 4141626345 its reverse (5436261414), we get a palindrome (9577887759).

The spelling of 4141626345 in words is "four billion, one hundred forty-one million, six hundred twenty-six thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 853 2559 4265 7677 12795 38385 107897 323691 539485 971073 1618455 4855365 92036141 276108423 460180705 828325269 1380542115 4141626345