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434043214444 = 22767733315643
BaseRepresentation
bin1100101000011101111…
…11011101101001101100
31112111100012212211220001
412110032333131221230
524102410030330234
6531221404234044
743233665310040
oct6241677355154
91474305784801
10434043214444
11158093096274
127015423b924
1331c12575808
14170175b0020
15b455481d14
hex650efdda6c

434043214444 has 48 divisors (see below), whose sum is σ = 882247706368. Its totient is φ = 182991555648.

The previous prime is 434043214421. The next prime is 434043214453. The reversal of 434043214444 is 444412340434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1217287 + ... + 1532929.

Almost surely, 2434043214444 is an apocalyptic number.

It is an amenable number.

434043214444 is an abundant number, since it is smaller than the sum of its proper divisors (448204491924).

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

434043214444 is a wasteful number, since it uses less digits than its factorization.

434043214444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316454 (or 316452 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 37.

Adding to 434043214444 its reverse (444412340434), we get a palindrome (878455554878).

The spelling of 434043214444 in words is "four hundred thirty-four billion, forty-three million, two hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 67 134 268 469 733 938 1466 1876 2932 5131 10262 20524 49111 98222 196444 315643 343777 631286 687554 1262572 1375108 2209501 4419002 8838004 21148081 42296162 84592324 148036567 231366319 296073134 462732638 592146268 925465276 1619564233 3239128466 6478256932 15501543373 31003086746 62006173492 108510803611 217021607222 434043214444