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14245243445200 = 245237962516449
BaseRepresentation
bin1100111101001011101010…
…1011001101111111010000
31212102211110111201210100111
43033102322223031333100
53331343224310221300
650144101405131104
73000120261264445
oct317227253157720
955384414653314
1014245243445200
1145a2412608909
1217209a7259a94
137c4422740271
1437368b26d9cc
1519a84134c9ba
hexcf4baacdfd0

14245243445200 has 60 divisors (see below), whose sum is σ = 35149175721100. Its totient is φ = 5544094740480.

The previous prime is 14245243445197. The next prime is 14245243445201. The reversal of 14245243445200 is 254434254241.

It can be written as a sum of positive squares in 6 ways, for example, as 531464328256 + 13713779116944 = 729016^2 + 3703212^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14245243445201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481243425 + ... + 481273024.

Almost surely, 214245243445200 is an apocalyptic number.

14245243445200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14245243445200 is an abundant number, since it is smaller than the sum of its proper divisors (20903932275900).

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

14245243445200 is a wasteful number, since it uses less digits than its factorization.

14245243445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962516504 (or 962516493 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

Adding to 14245243445200 its reverse (254434254241), we get a palindrome (14499677699441).

The spelling of 14245243445200 in words is "fourteen trillion, two hundred forty-five billion, two hundred forty-three million, four hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 148 185 200 296 370 400 592 740 925 1480 1850 2960 3700 7400 14800 962516449 1925032898 3850065796 4812582245 7700131592 9625164490 15400263184 19250328980 24062911225 35613108613 38500657960 48125822450 71226217226 77001315920 96251644900 142452434452 178065543065 192503289800 284904868904 356131086130 385006579600 569809737808 712262172260 890327715325 1424524344520 1780655430650 2849048689040 3561310861300 7122621722600 14245243445200