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10004412444114 = 23111674547199621
BaseRepresentation
bin1001000110010101010101…
…1100110010110111010010
31022102102010201000122020110
42101211111130302313102
52302403014041202424
633135544051022150
72051536444451664
oct221452534626722
938372121018213
1010004412444114
113207936012650
121156b0959a956
135775483576ba
14268305166534
151253874d8c29
hex91955732dd2

10004412444114 has 64 divisors (see below), whose sum is σ = 21963453668352. Its totient is φ = 3012808766400.

The previous prime is 10004412444113. The next prime is 10004412444121. The reversal of 10004412444114 is 41144421440001.

10004412444114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10004412444113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50017224 + ... + 50216844.

It is an arithmetic number, because the mean of its divisors is an integer number (343178963568).

Almost surely, 210004412444114 is an apocalyptic number.

10004412444114 is an abundant number, since it is smaller than the sum of its proper divisors (11959041224238).

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

10004412444114 is a wasteful number, since it uses less digits than its factorization.

10004412444114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204351.

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 10004412444114 its reverse (41144421440001), we get a palindrome (51148833884115).

The spelling of 10004412444114 in words is "ten trillion, four billion, four hundred twelve million, four hundred forty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 167 334 501 1002 1837 3674 4547 5511 9094 11022 13641 27282 50017 100034 150051 199621 300102 399242 598863 759349 1197726 1518698 2195831 2278047 4391662 4556094 6587493 8352839 13174986 16705678 25058517 33336707 50117034 66673414 100010121 200020242 366703777 733407554 907676687 1100111331 1815353374 2200222662 2723030061 5446060122 9984443557 19968887114 29953330671 59906661342 151582006729 303164013458 454746020187 909492040374 1667402074019 3334804148038 5002206222057 10004412444114