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14222044324400 = 245211326713081
BaseRepresentation
bin1100111011110101001111…
…1001100110001000110000
31212100121120201111100101012
43032331103321212020300
53331003221321340100
650125303355330052
72665336342101653
oct316752371461060
955317521440335
1014222044324400
114593598287000
1217183b1a50928
137c2196344053
143724ca14b89a
15199e34809135
hexcef53e66230

14222044324400 has 120 divisors (see below), whose sum is σ = 37582741918128. Its totient is φ = 5171652288000.

The previous prime is 14222044324357. The next prime is 14222044324409. The reversal of 14222044324400 is 442344022241.

It is not an unprimeable number, because it can be changed into a prime (14222044324409) 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 23 ways as a sum of consecutive naturals, for example, 12824141 + ... + 13888940.

Almost surely, 214222044324400 is an apocalyptic number.

14222044324400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14222044324400 is an abundant number, since it is smaller than the sum of its proper divisors (23360697593728).

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

14222044324400 is a wasteful number, since it uses less digits than its factorization.

14222044324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26713132 (or 26713099 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 14222044324400 its reverse (442344022241), we get a palindrome (14664388346641).

The spelling of 14222044324400 in words is "fourteen trillion, two hundred twenty-two billion, forty-four million, three hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1331 1936 2200 2420 2662 3025 4400 4840 5324 6050 6655 9680 10648 12100 13310 21296 24200 26620 33275 48400 53240 66550 106480 133100 266200 532400 26713081 53426162 106852324 133565405 213704648 267130810 293843891 427409296 534261620 587687782 667827025 1068523240 1175375564 1335654050 1469219455 2137046480 2350751128 2671308100 2938438910 3232282801 4701502256 5342616200 5876877820 6464565602 7346097275 10685232400 11753755640 12929131204 14692194550 16161414005 23507511280 25858262408 29384389100 32322828010 35555110811 51716524816 58768778200 64645656020 71110221622 80807070025 117537556400 129291312040 142220443244 161614140050 177775554055 258582624080 284440886488 323228280100 355551108110 568881772976 646456560200 711102216220 888877770275 1292913120400 1422204432440 1777755540550 2844408864880 3555511081100 7111022162200 14222044324400