Search a number
-
+
15145515441 = 3271714141471
BaseRepresentation
bin11100001101011111…
…00011100110110001
31110002111221220100100
432012233203212301
5222004222443231
610542512543013
71044214520460
oct160657434661
943074856310
1015145515441
116472280a11
122b28251a69
131574a37974
14a396a29d7
155d99aa1e6
hex386be39b1

15145515441 has 24 divisors (see below), whose sum is σ = 26472835584. Its totient is φ = 8145486720.

The previous prime is 15145515421. The next prime is 15145515457. The reversal of 15145515441 is 14451554151.

15145515441 is a `hidden beast` number, since 1 + 5 + 14 + 551 + 54 + 41 = 666.

It is not a de Polignac number, because 15145515441 - 26 = 15145515377 is a prime.

It is a super-3 number, since 3×151455154413 (a number of 32 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 15145515396 and 15145515405.

It is not an unprimeable number, because it can be changed into a prime (15145515401) 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 23 ways as a sum of consecutive naturals, for example, 7069665 + ... + 7071806.

It is an arithmetic number, because the mean of its divisors is an integer number (1103034816).

Almost surely, 215145515441 is an apocalyptic number.

It is an amenable number.

15145515441 is a deficient number, since it is larger than the sum of its proper divisors (11327320143).

15145515441 is a wasteful number, since it uses less digits than its factorization.

15145515441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14141501 (or 14141498 counting only the distinct ones).

The product of its digits is 40000, while the sum is 36.

The spelling of 15145515441 in words is "fifteen billion, one hundred forty-five million, five hundred fifteen thousand, four hundred forty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 14141471 42424413 98990297 127273239 240405007 296970891 721215021 890912673 1682835049 2163645063 5048505147 15145515441