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14050305126 = 232111343126943
BaseRepresentation
bin11010001010111011…
…01010010001100110
31100021012010110020100
431011131222101212
5212233334231001
610242110444530
71005115423464
oct150535522146
940235113210
1014050305126
115a60038220
122881503746
13142bb73120
1497404d834
1557376d586
hex34576a466

14050305126 has 96 divisors (see below), whose sum is σ = 36596431872. Its totient is φ = 3838726080.

The previous prime is 14050305121. The next prime is 14050305221. The reversal of 14050305126 is 62150305041.

14050305126 is a `hidden beast` number, since 140 + 5 + 0 + 3 + 0 + 512 + 6 = 666.

14050305126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140503051262 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14050305126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14050305121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47211 + ... + 174153.

It is an arithmetic number, because the mean of its divisors is an integer number (381212832).

Almost surely, 214050305126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14050305126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18298215936).

14050305126 is an abundant number, since it is smaller than the sum of its proper divisors (22546126746).

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

14050305126 is a wasteful number, since it uses less digits than its factorization.

14050305126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127018 (or 127015 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 14050305126 in words is "fourteen billion, fifty million, three hundred five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 43 66 78 86 99 117 129 143 198 234 258 286 387 429 473 559 774 858 946 1118 1287 1419 1677 2574 2838 3354 4257 5031 6149 8514 10062 12298 18447 36894 55341 110682 126943 253886 380829 761658 1142487 1396373 1650259 2284974 2792746 3300518 4189119 4950777 5458549 8378238 9901554 10917098 12567357 14852331 16375647 18152849 25134714 29704662 32751294 36305698 49126941 54458547 60044039 70961137 98253882 108917094 120088078 141922274 163375641 180132117 212883411 326751282 360264234 425766822 540396351 638650233 780572507 1080792702 1277300466 1561145014 2341717521 4683435042 7025152563 14050305126