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42144214365 = 32511731936043
BaseRepresentation
bin100111001111111111…
…011010110101011101
311000210002202220122100
4213033333122311131
51142302404324430
631205532435313
73021241624431
oct471777326535
9130702686570
1042144214365
1116967346030
128202018b39
133c88381266
14207b2869c1
151169d84960
hex9cffdad5d

42144214365 has 96 divisors (see below), whose sum is σ = 81214533504. Its totient is φ = 20045905920.

The previous prime is 42144214363. The next prime is 42144214369. The reversal of 42144214365 is 56341244124.

42144214365 is a `hidden beast` number, since 4 + 214 + 4 + 2 + 1 + 436 + 5 = 666.

It is not a de Polignac number, because 42144214365 - 21 = 42144214363 is a prime.

It is a super-2 number, since 2×421442143652 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42144214363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6971034 + ... + 6977076.

It is an arithmetic number, because the mean of its divisors is an integer number (845984724).

Almost surely, 242144214365 is an apocalyptic number.

42144214365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42144214365 is a deficient number, since it is larger than the sum of its proper divisors (39070319139).

42144214365 is a wasteful number, since it uses less digits than its factorization.

42144214365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331 (or 6328 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 42144214365 its reverse (56341244124), we get a palindrome (98485458489).

The spelling of 42144214365 in words is "forty-two billion, one hundred forty-four million, two hundred fourteen thousand, three hundred sixty-five".

Divisors: 1 3 5 9 11 15 33 45 55 73 99 165 193 219 365 495 579 657 803 965 1095 1737 2123 2409 2895 3285 4015 6043 6369 7227 8685 10615 12045 14089 18129 19107 30215 31845 36135 42267 54387 66473 70445 90645 95535 126801 154979 199419 211335 271935 332365 441139 464937 598257 634005 774895 997095 1166299 1323417 1394811 2205695 2324685 2991285 3498897 3970251 4852529 5831495 6617085 6974055 10496691 12829289 14557587 17494485 19851255 24262645 38487867 43672761 52483455 64146445 72787935 85139827 115463601 192439335 218363805 255419481 425699135 577318005 766258443 936538097 1277097405 2809614291 3831292215 4682690485 8428842873 14048071455 42144214365