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14433377343 = 37112913116447
BaseRepresentation
bin11010111000100101…
…11101110000111111
31101020212221112112020
431130102331300333
5214024421033333
610344113211223
71020446453220
oct153422756077
941225845466
1014433377343
1161372a1030
122969860b13
131490338788
149acc89247
155971db3b3
hex35c4bdc3f

14433377343 has 64 divisors (see below), whose sum is σ = 25011486720. Its totient is φ = 7183612800.

The previous prime is 14433377311. The next prime is 14433377351. The reversal of 14433377343 is 34377333441.

It is a happy number.

It is not a de Polignac number, because 14433377343 - 25 = 14433377311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14433377295 and 14433377304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14433377363) 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, 869346 + ... + 885792.

It is an arithmetic number, because the mean of its divisors is an integer number (390804480).

Almost surely, 214433377343 is an apocalyptic number.

14433377343 is a deficient number, since it is larger than the sum of its proper divisors (10578109377).

14433377343 is a wasteful number, since it uses less digits than its factorization.

14433377343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16628.

The product of its digits is 762048, while the sum is 42.

The spelling of 14433377343 in words is "fourteen billion, four hundred thirty-three million, three hundred seventy-seven thousand, three hundred forty-three".

Divisors: 1 3 7 11 21 29 33 77 87 131 203 231 319 393 609 917 957 1441 2233 2751 3799 4323 6699 10087 11397 16447 26593 30261 41789 49341 79779 115129 125367 180917 292523 345387 476963 542751 877569 1266419 1430889 2154557 3338741 3799257 5246593 6463671 10016223 15081899 15739779 23700127 36726151 45245697 62482153 71100381 110178453 165900889 187446459 437375071 497702667 687303683 1312125213 2061911049 4811125781 14433377343