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14121324240 = 2435531110167
BaseRepresentation
bin11010010011011001…
…00100111011010000
31100110010202121010220
431021230210323100
5212410024333430
610253124553040
71006640163342
oct151154447320
940403677126
1014121324240
115a97134a01
1228a1252780
1314407aa77a
1497d659292
15579aeb110
hex349b24ed0

14121324240 has 80 divisors (see below), whose sum is σ = 44602109568. Its totient is φ = 3694632448.

The previous prime is 14121324209. The next prime is 14121324247. The reversal of 14121324240 is 4242312141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14121324240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14121324247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542364 + ... + 567803.

Almost surely, 214121324240 is an apocalyptic number.

14121324240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14121324240 is an abundant number, since it is smaller than the sum of its proper divisors (30480785328).

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

14121324240 is a wasteful number, since it uses less digits than its factorization.

14121324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110236 (or 1110230 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14121324240 its reverse (4242312141), we get a palindrome (18363636381).

The spelling of 14121324240 in words is "fourteen billion, one hundred twenty-one million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 1110167 2220334 3330501 4440668 5550835 6661002 8881336 11101670 13322004 16652505 17762672 22203340 26644008 33305010 44406680 53288016 58838851 66610020 88813360 117677702 133220040 176516553 235355404 266440080 294194255 353033106 470710808 588388510 706066212 882582765 941421616 1176777020 1412132424 1765165530 2353554040 2824264848 3530331060 4707108080 7060662120 14121324240