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14465856441 = 3377383137157
BaseRepresentation
bin11010111100011101…
…10111001110111001
31101100011001122110210
431132032313032321
5214111224401231
610351233301333
71021322515401
oct153616671671
941304048423
1014465856441
116153665063
122978704849
131496c9ac8a
149b3301801
15599ea4a46
hex35e3b73b9

14465856441 has 64 divisors (see below), whose sum is σ = 20601116928. Its totient is φ = 9018667008.

The previous prime is 14465856439. The next prime is 14465856451.

14465856441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14465856441 - 21 = 14465856439 is a prime.

It is a super-2 number, since 2×144658564412 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14465856421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92139135 + ... + 92139291.

It is an arithmetic number, because the mean of its divisors is an integer number (321892452).

Almost surely, 214465856441 is an apocalyptic number.

It is an amenable number.

14465856441 is a deficient number, since it is larger than the sum of its proper divisors (6135260487).

14465856441 is a wasteful number, since it uses less digits than its factorization.

14465856441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490.

The product of its digits is 1843200, while the sum is 48.

The spelling of 14465856441 in words is "fourteen billion, four hundred sixty-five million, eight hundred fifty-six thousand, four hundred forty-one".

Divisors: 1 3 37 73 83 111 137 157 219 249 411 471 2701 3071 5069 5809 6059 8103 9213 10001 11371 11461 13031 15207 17427 18177 21509 30003 34113 34383 39093 64527 224183 370037 420727 424057 482147 672549 795833 830083 951263 1110111 1262181 1272171 1446441 1570157 1785247 2387499 2490249 2853789 4710471 5355741 30713071 35196731 58095809 66054139 92139213 105590193 130323031 174287427 198162417 390969093 4821952147 14465856441