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14385166120 = 2351389310829
BaseRepresentation
bin11010110010110110…
…00011011100101000
31101010112020011011101
431121123003130220
5213430100303440
610335232011144
71016322615553
oct153133033450
941115204141
1014385166120
116112062246
122955690ab4
131483358620
149a66d969a
15592d6669a
hex3596c3728

14385166120 has 64 divisors (see below), whose sum is σ = 35248122000. Its totient is φ = 5251749888.

The previous prime is 14385166099. The next prime is 14385166129. The reversal of 14385166120 is 2166158341.

It is a happy number.

14385166120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2504602116 + 11880564004 = 50046^2 + 108998^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14385166120.

It is not an unprimeable number, because it can be changed into a prime (14385166129) 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 15 ways as a sum of consecutive naturals, for example, 109135 + ... + 201694.

Almost surely, 214385166120 is an apocalyptic number.

14385166120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14385166120 is an abundant number, since it is smaller than the sum of its proper divisors (20862955880).

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

14385166120 is a wasteful number, since it uses less digits than its factorization.

14385166120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310942 (or 310938 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 14385166120 in words is "fourteen billion, three hundred eighty-five million, one hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 89 104 130 178 260 356 445 520 712 890 1157 1780 2314 3560 4628 5785 9256 11570 23140 46280 310829 621658 1243316 1554145 2486632 3108290 4040777 6216580 8081554 12433160 16163108 20203885 27663781 32326216 40407770 55327562 80815540 110655124 138318905 161631080 221310248 276637810 359629153 553275620 719258306 1106551240 1438516612 1798145765 2877033224 3596291530 7192583060 14385166120