Search a number
-
+
404101411012 = 2213173533893329
BaseRepresentation
bin1011110000101100101…
…00100011000011000100
31102122001112002122012101
411320112110203003010
523110044430123022
6505350331401444
741124003214345
oct5702624430304
91378045078171
10404101411012
11146418791182
12663988b3284
132c150278870
14157b6b940cc
15a7a1a01627
hex5e165230c4

404101411012 has 96 divisors (see below), whose sum is σ = 810981007200. Its totient is φ = 174537572352.

The previous prime is 404101410989. The next prime is 404101411039. The reversal of 404101411012 is 210114101404.

It can be written as a sum of positive squares in 16 ways, for example, as 160523627716 + 243577783296 = 400654^2 + 493536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121386564 + ... + 121389892.

It is an arithmetic number, because the mean of its divisors is an integer number (8447718825).

Almost surely, 2404101411012 is an apocalyptic number.

It is an amenable number.

404101411012 is an abundant number, since it is smaller than the sum of its proper divisors (406879596188).

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

404101411012 is a wasteful number, since it uses less digits than its factorization.

404101411012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 404101411012 its reverse (210114101404), we get a palindrome (614215512416).

The spelling of 404101411012 in words is "four hundred four billion, one hundred one million, four hundred eleven thousand, twelve".

Divisors: 1 2 4 13 17 26 34 52 68 221 353 389 442 706 778 884 1412 1556 3329 4589 5057 6001 6613 6658 9178 10114 12002 13226 13316 18356 20228 24004 26452 43277 56593 78013 85969 86554 113186 137317 156026 171938 173108 226372 274634 312052 343876 549268 735709 1175137 1294981 1471418 1785121 2334389 2350274 2589962 2942836 3570242 4668778 4700548 5179924 7140484 9337556 15276781 16834753 19977329 22014677 30347057 30553562 33669506 39954658 44029354 60694114 61107124 67339012 79909316 88058708 121388228 259705277 286190801 457128293 519410554 572381602 914256586 1038821108 1144763204 1828513172 5942667809 7771180981 11885335618 15542361962 23770671236 31084723924 101025352753 202050705506 404101411012