Search a number
-
+
460314125556404 = 227311459363478967
BaseRepresentation
bin110100010101001110011101…
…1111100000101101010110100
32020100211121012212022021102212
41220222130323330011222310
5440313241312120301104
64311001220122152552
7165646412101144550
oct15052347374055264
92210747185267385
10460314125556404
1112374114056a659
1243763b65352758
13169b0588557a32
148195473120860
153833c6052536e
hex1a2a73bf05ab4

460314125556404 has 48 divisors (see below), whose sum is σ = 950977293557760. Its totient is φ = 190782839674080.

The previous prime is 460314125556403. The next prime is 460314125556407. The reversal of 460314125556404 is 404655521413064.

It is a happy number.

It is a super-2 number, since 2×4603141255564042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460314125556403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180473072 + ... + 183005895.

It is an arithmetic number, because the mean of its divisors is an integer number (19812026949120).

Almost surely, 2460314125556404 is an apocalyptic number.

It is an amenable number.

460314125556404 is an abundant number, since it is smaller than the sum of its proper divisors (490663168001356).

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

460314125556404 is a wasteful number, since it uses less digits than its factorization.

460314125556404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363480468 (or 363480466 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 50.

Adding to 460314125556404 its reverse (404655521413064), we get a palindrome (864969646969468).

The spelling of 460314125556404 in words is "four hundred sixty trillion, three hundred fourteen billion, one hundred twenty-five million, five hundred fifty-six thousand, four hundred four".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 1459 2918 5836 10213 20426 40852 45229 90458 180916 316603 633206 1266412 363478967 726957934 1453915868 2544352769 5088705538 10177411076 11267847977 22535695954 45071391908 78874935839 157749871678 315499743356 530315812853 1060631625706 2121263251412 3712210689971 7424421379942 14848842759884 16439790198443 32879580396886 65759160793772 115078531389101 230157062778202 460314125556404