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440010220221 = 361131334883
BaseRepresentation
bin1100110011100101010…
…01110010001010111101
31120001202001212011000000
412121302221302022331
524202120104021341
6534045442024513
743534602106245
oct6316251621275
91501661764000
10440010220221
1115a675331000
127133a648139
133265385b770
1417421c70b25
15b6a424d8b6
hex6672a722bd

440010220221 has 112 divisors (see below), whose sum is σ = 781475833152. Its totient is φ = 246152507040.

The previous prime is 440010220187. The next prime is 440010220249. The reversal of 440010220221 is 122022010044.

440010220221 is a `hidden beast` number, since 440 + 0 + 1 + 0 + 2 + 2 + 0 + 221 = 666.

It is not a de Polignac number, because 440010220221 - 215 = 440010187453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 440010220194 and 440010220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440010220021) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12596446 + ... + 12631328.

It is an arithmetic number, because the mean of its divisors is an integer number (6977462796).

Almost surely, 2440010220221 is an apocalyptic number.

It is an amenable number.

440010220221 is a deficient number, since it is larger than the sum of its proper divisors (341465612931).

440010220221 is an equidigital number, since it uses as much as digits as its factorization.

440010220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34947 (or 34910 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 440010220221 its reverse (122022010044), we get a palindrome (562032230265).

The spelling of 440010220221 in words is "four hundred forty billion, ten million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 121 143 243 297 351 363 429 729 891 1053 1089 1287 1331 1573 2673 3159 3267 3861 3993 4719 8019 9477 9801 11583 11979 14157 17303 29403 34749 34883 35937 42471 51909 88209 104247 104649 107811 127413 155727 313947 323433 382239 383713 453479 467181 941841 970299 1146717 1151139 1360437 1401543 2825523 3453417 4081311 4204629 4220843 4988269 8476569 10360251 12243933 12613887 12662529 14964807 25429707 31080753 36731799 37987587 44894421 46429273 54870959 93242259 110195397 113962761 134683263 139287819 164612877 279726777 330586191 341888283 404049789 417863457 493838631 603580549 1025664849 1212149367 1253590371 1481515893 1810741647 3076994547 3636448101 3760771113 4444547679 5432224941 11282313339 13333643037 16296674823 33846940017 40000929111 48890024469 146670073407 440010220221