Search a number
-
+
909151460142 = 232321312186543
BaseRepresentation
bin11010011101011011010…
…01100101101100101110
310012220200022212102111120
431032231221211230232
5104343420233211032
61533354115001410
7122453422622232
oct15165551455456
93186608772446
10909151460142
113206293302a2
12128248b99266
136796a729a93
14320089865c2
15189b0b7562c
hexd3ada65b2e

909151460142 has 48 divisors (see below), whose sum is σ = 1915307589888. Its totient is φ = 287661465520.

The previous prime is 909151460141. The next prime is 909151460171. The reversal of 909151460142 is 241064151909.

It is a happy number.

It is a super-2 number, since 2×9091514601422 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 909151460094 and 909151460103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (909151460141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677478 + ... + 1509065.

It is an arithmetic number, because the mean of its divisors is an integer number (39902241456).

Almost surely, 2909151460142 is an apocalyptic number.

909151460142 is an abundant number, since it is smaller than the sum of its proper divisors (1006156129746).

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

909151460142 is a wasteful number, since it uses less digits than its factorization.

909151460142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186725 (or 2186702 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 909151460142 in words is "nine hundred nine billion, one hundred fifty-one million, four hundred sixty thousand, one hundred forty-two".

Divisors: 1 2 3 6 23 46 69 131 138 262 393 529 786 1058 1587 3013 3174 6026 9039 18078 69299 138598 207897 415794 2186543 4373086 6559629 13119258 50290489 100580978 150871467 286437133 301742934 572874266 859311399 1156681247 1718622798 2313362494 3470043741 6588054059 6940087482 13176108118 19764162177 39528324354 151525243357 303050486714 454575730071 909151460142