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413345030004 = 223221503533963
BaseRepresentation
bin1100000001111010100…
…10001001111101110100
31110111220201121010122100
412000331102021331310
523233012311430004
6513515454302100
741602034533014
oct6007522117564
91414821533570
10413345030004
1114a331547a15
12681384b7930
132cc94345cba
14160126a3c44
15ab432a1739
hex603d489f74

413345030004 has 36 divisors (see below), whose sum is σ = 1044894928896. Its totient is φ = 137775011088.

The previous prime is 413345030003. The next prime is 413345030017. The reversal of 413345030004 is 400030543314.

413345030004 is a `hidden beast` number, since 4 + 13 + 345 + 0 + 300 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4133450300042 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413345030004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413345030003) 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 11 ways as a sum of consecutive naturals, for example, 507127 + ... + 1041089.

It is an arithmetic number, because the mean of its divisors is an integer number (29024859136).

Almost surely, 2413345030004 is an apocalyptic number.

It is an amenable number.

413345030004 is an abundant number, since it is smaller than the sum of its proper divisors (631549898892).

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

413345030004 is a wasteful number, since it uses less digits than its factorization.

413345030004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555476 (or 555471 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 413345030004 its reverse (400030543314), we get a palindrome (813375573318).

The spelling of 413345030004 in words is "four hundred thirteen billion, three hundred forty-five million, thirty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 21503 43006 64509 86012 129018 193527 258036 387054 533963 774108 1067926 1601889 2135852 3203778 4805667 6407556 9611334 19222668 11481806389 22963612778 34445419167 45927225556 68890838334 103336257501 137781676668 206672515002 413345030004