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42144303424 = 2617360710739
BaseRepresentation
bin100111001111111111…
…110000100101000000
311000210002221102210211
4213033333300211000
51142302420202144
631205534403504
73021242445166
oct471777604500
9130702842724
1042144303424
11169673a6a33
128202060594
133c883b2962
14207b2ab236
151169da1034
hex9cfff0940

42144303424 has 56 divisors (see below), whose sum is σ = 88582317120. Its totient is φ = 19825268736.

The previous prime is 42144303413. The next prime is 42144303457. The reversal of 42144303424 is 42430344124.

It is a super-2 number, since 2×421443034242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3919047 + ... + 3929785.

Almost surely, 242144303424 is an apocalyptic number.

It is an amenable number.

42144303424 is an abundant number, since it is smaller than the sum of its proper divisors (46438013696).

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

42144303424 is a wasteful number, since it uses less digits than its factorization.

42144303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14375 (or 14365 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 42144303424 its reverse (42430344124), we get a palindrome (84574647548).

The spelling of 42144303424 in words is "forty-two billion, one hundred forty-four million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 3607 7214 10739 14428 21478 28856 42956 57712 61319 85912 115424 122638 171824 182563 230848 245276 343648 365126 490552 687296 730252 981104 1460504 1962208 2921008 3924416 5842016 11684032 38735573 77471146 154942292 309884584 619769168 658504741 1239538336 1317009482 2479076672 2634018964 5268037928 10536075856 21072151712 42144303424