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1404431222311 = 132233771791741
BaseRepresentation
bin10100011011111110100…
…111111100011000100111
311222021002020010012201201
4110123332213330120213
5141002233343103221
62553104203103331
7203316054264355
oct24337647743047
94867066105651
101404431222311
114a16858a2197
121a8231211b47
13a258b97c300
144bd90d307d5
15267ec1b4891
hex146fe9fc627

1404431222311 has 96 divisors (see below), whose sum is σ = 1674621112320. Its totient is φ = 1173793420800.

The previous prime is 1404431222209. The next prime is 1404431222339. The reversal of 1404431222311 is 1132221344041.

It is a happy number.

It is not a de Polignac number, because 1404431222311 - 29 = 1404431221799 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1404431222311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404431232311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 806679901 + ... + 806681641.

It is an arithmetic number, because the mean of its divisors is an integer number (17443969920).

Almost surely, 21404431222311 is an apocalyptic number.

1404431222311 is a deficient number, since it is larger than the sum of its proper divisors (270189890009).

1404431222311 is a wasteful number, since it uses less digits than its factorization.

1404431222311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1404431222311 its reverse (1132221344041), we get a palindrome (2536652566352).

The spelling of 1404431222311 in words is "one trillion, four hundred four billion, four hundred thirty-one million, two hundred twenty-two thousand, three hundred eleven".

Divisors: 1 13 23 37 71 79 169 299 481 851 923 1027 1633 1741 1817 2627 2923 3887 5609 6253 11063 11999 13351 21229 22633 23621 34151 37999 40043 60421 64417 67229 72917 123611 129007 137539 143819 207533 275977 294229 307073 443963 493987 520559 785473 837421 873977 947921 1481591 1606943 1677091 1788007 2697929 2843053 3163397 4573607 4773259 5088943 6767267 9765269 10211149 10886473 11361701 19260683 20890259 21802183 23244091 35073077 36959689 41124161 59456891 62052367 66156259 105192961 117045689 126948497 224601187 250388879 361314953 480475957 534614093 772939583 806680771 860031367 1367508493 1521593957 1650330461 2919815431 4697094389 8310243919 17777610409 19780721441 37957600603 61062227057 108033170947 1404431222311