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401663330343 = 321129241580513
BaseRepresentation
bin1011101100001010000…
…00000000100000100111
31102101202121102022021100
411312011000000200213
523040101303032333
6504304355051143
741006406655422
oct5660500004047
91371677368240
10401663330343
1114538752a080
1265a182a0ab3
132bb52118b92
14156250609b9
15a6ac957213
hex5d85000827

401663330343 has 48 divisors (see below), whose sum is σ = 657466935840. Its totient is φ = 234062438400.

The previous prime is 401663330329. The next prime is 401663330351. The reversal of 401663330343 is 343033366104.

401663330343 is a `hidden beast` number, since 4 + 0 + 16 + 633 + 3 + 0 + 3 + 4 + 3 = 666.

It is not a de Polignac number, because 401663330343 - 212 = 401663326247 is a prime.

It is a super-2 number, since 2×4016633303432 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401663330298 and 401663330307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401663330323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401655 + ... + 982167.

It is an arithmetic number, because the mean of its divisors is an integer number (13697227830).

Almost surely, 2401663330343 is an apocalyptic number.

401663330343 is a deficient number, since it is larger than the sum of its proper divisors (255803605497).

401663330343 is a wasteful number, since it uses less digits than its factorization.

401663330343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580800 (or 580797 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 401663330343 its reverse (343033366104), we get a palindrome (744696696447).

The spelling of 401663330343 in words is "four hundred one billion, six hundred sixty-three million, three hundred thirty thousand, three hundred forty-three".

Divisors: 1 3 9 11 29 33 87 99 241 261 319 723 957 2169 2651 2871 6989 7953 20967 23859 62901 76879 230637 580513 691911 1741539 5224617 6385643 16834877 19156929 50504631 57470787 139903633 151513893 185183647 419710899 555550941 1259132697 1538939963 1666652823 4057205357 4616819889 12171616071 13850459667 36514848213 44629258927 133887776781 401663330343