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4141413034 = 2112293741389
BaseRepresentation
bin1111011011011000…
…1111001010101010
3101200121210120122221
43312312033022222
531440200204114
61522540504254
7204425300323
oct36666171252
911617716587
104141413034
1118357a0a00
12976b4b08a
13510004c75
142b404544a
151938aa524
hexf6d8f2aa

4141413034 has 96 divisors (see below), whose sum is σ = 7450606800. Its totient is φ = 1720857600.

The previous prime is 4141413007. The next prime is 4141413041. The reversal of 4141413034 is 4303141414.

It can be written as a sum of positive squares in 8 ways, for example, as 1336121809 + 2805291225 = 36553^2 + 52965^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10646112 + ... + 10646500.

Almost surely, 24141413034 is an apocalyptic number.

4141413034 is a deficient number, since it is larger than the sum of its proper divisors (3309193766).

4141413034 is a wasteful number, since it uses less digits than its factorization.

4141413034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 4141413034 is about 64353.8113401219. The cubic root of 4141413034 is about 1605.8914357088.

Adding to 4141413034 its reverse (4303141414), we get a palindrome (8444554448).

The spelling of 4141413034 in words is "four billion, one hundred forty-one million, four hundred thirteen thousand, thirty-four".

Divisors: 1 2 11 22 29 37 41 58 74 82 121 242 319 389 407 451 638 778 814 902 1073 1189 1517 2146 2378 3034 3509 4279 4477 4961 7018 8558 8954 9922 11281 11803 13079 14393 15949 16687 22562 23606 26158 28786 31898 33374 43993 47069 87986 94138 124091 129833 143869 158323 175439 183557 248182 259666 287738 316646 350878 367114 417397 462521 483923 590113 834794 925042 967846 1180226 1365001 1741553 1929829 2730002 3483106 3859658 4591367 5087731 5323153 6491243 9182734 10175462 10646306 12982486 17113277 34226554 50505037 55965041 71403673 101010074 111930082 142807346 188246047 376492094 2070706517 4141413034