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14233243020400 = 2452162121951331
BaseRepresentation
bin1100111100011110111101…
…1001001110110001110000
31212101200111011211001021201
43033013233121032301300
53331144140203123100
650134354522300544
72666214013331305
oct317075731166160
955350434731251
1014233243020400
114598314697068
12171a5b8357754
137c325c48a2a1
14372c6d5810ac
1519a38ca4636a
hexcf1ef64ec70

14233243020400 has 60 divisors (see below), whose sum is σ = 34216463144344. Its totient is φ = 5689784736000.

The previous prime is 14233243020377. The next prime is 14233243020511. The reversal of 14233243020400 is 402034233241.

It is a super-3 number, since 3×142332430204003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10327266 + ... + 11624065.

Almost surely, 214233243020400 is an apocalyptic number.

14233243020400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14233243020400 is an abundant number, since it is smaller than the sum of its proper divisors (19983220123944).

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

14233243020400 is a wasteful number, since it uses less digits than its factorization.

14233243020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21952970 (or 21952959 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 14233243020400 its reverse (402034233241), we get a palindrome (14635277253641).

The spelling of 14233243020400 in words is "fourteen trillion, two hundred thirty-three billion, two hundred forty-three million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1621 3242 6484 8105 12968 16210 25936 32420 40525 64840 81050 129680 162100 324200 648400 21951331 43902662 87805324 109756655 175610648 219513310 351221296 439026620 548783275 878053240 1097566550 1756106480 2195133100 4390266200 8780532400 35583107551 71166215102 142332430204 177915537755 284664860408 355831075510 569329720816 711662151020 889577688775 1423324302040 1779155377550 2846648604080 3558310755100 7116621510200 14233243020400