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14420314041040 = 2451710603172089
BaseRepresentation
bin1101000111010111110110…
…1100100010101011010000
31220001120100110221112022201
43101311331230202223100
53342230300343303130
650400333435412544
73015555552635035
oct321657554425320
956046313845281
1014420314041040
11465a691380756
12174a905bb4154
13807aa30429cb
1437bd3850338c
151a018ade6bca
hexd1d7db22ad0

14420314041040 has 40 divisors (see below), whose sum is σ = 35499420157320. Its totient is φ = 5428824109056.

The previous prime is 14420314041017. The next prime is 14420314041041. The reversal of 14420314041040 is 4014041302441.

It can be written as a sum of positive squares in 4 ways, for example, as 641934259264 + 13778379781776 = 801208^2 + 3711924^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14420314041041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5301584685 + ... + 5301587404.

It is an arithmetic number, because the mean of its divisors is an integer number (887485503933).

Almost surely, 214420314041040 is an apocalyptic number.

14420314041040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14420314041040 is an abundant number, since it is smaller than the sum of its proper divisors (21079106116280).

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

14420314041040 is a wasteful number, since it uses less digits than its factorization.

14420314041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10603172119 (or 10603172113 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14420314041040 its reverse (4014041302441), we get a palindrome (18434355343481).

The spelling of 14420314041040 in words is "fourteen trillion, four hundred twenty billion, three hundred fourteen million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 10603172089 21206344178 42412688356 53015860445 84825376712 106031720890 169650753424 180253925513 212063441780 360507851026 424126883560 721015702052 848253767120 901269627565 1442031404104 1802539255130 2884062808208 3605078510260 7210157020520 14420314041040