Search a number
-
+
10014411545645 = 513566927177257
BaseRepresentation
bin1001000110111010100101…
…1100010101110000101101
31022110100221120002121220012
42101232221130111300231
52303034003323430040
633144320202303005
72052342311432333
oct221565134256055
938410846077805
1010014411545645
1132110a7273621
121158a3a1b7a65
1357847cabbc20
142689b3133b53
1512577026a865
hex91ba9715c2d

10014411545645 has 16 divisors (see below), whose sum is σ = 12943984440240. Its totient is φ = 7393952976384.

The previous prime is 10014411545573. The next prime is 10014411545657. The reversal of 10014411545645 is 54654511441001.

10014411545645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 154327979716 + 9860083565929 = 392846^2 + 3140077^2 .

It is not a de Polignac number, because 10014411545645 - 224 = 10014394768429 is a prime.

It is a super-3 number, since 3×100144115456453 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13220144 + ... + 13957113.

It is an arithmetic number, because the mean of its divisors is an integer number (808999027515).

Almost surely, 210014411545645 is an apocalyptic number.

It is an amenable number.

10014411545645 is a deficient number, since it is larger than the sum of its proper divisors (2929572894595).

10014411545645 is a wasteful number, since it uses less digits than its factorization.

10014411545645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27182944.

The product of its (nonzero) digits is 192000, while the sum is 41.

Adding to 10014411545645 its reverse (54654511441001), we get a palindrome (64668922986646).

The spelling of 10014411545645 in words is "ten trillion, fourteen billion, four hundred eleven million, five hundred forty-five thousand, six hundred forty-five".

Divisors: 1 5 13 65 5669 28345 73697 368485 27177257 135886285 353304341 1766521705 154067869933 770339349665 2002882309129 10014411545645