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14222310414400 = 265211808085819
BaseRepresentation
bin1100111011110110001111…
…0000101001100001000000
31212100122021021012010020101
43032331203300221201000
53331004242431230100
650125350022452144
72665346052606364
oct316754360514100
955318237163211
1014222310414400
1145937144aa3a0
121718466b94054
137c22094cb25a
143725136152a4
15199e4cd6a86a
hexcef63c29840

14222310414400 has 84 divisors (see below), whose sum is σ = 38177206480080. Its totient is φ = 5171749235200.

The previous prime is 14222310414373. The next prime is 14222310414407. The reversal of 14222310414400 is 441401322241.

It is a super-2 number, since 2×142223104144002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14222310414407) 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, 404025310 + ... + 404060509.

Almost surely, 214222310414400 is an apocalyptic number.

14222310414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14222310414400 is an abundant number, since it is smaller than the sum of its proper divisors (23954896065680).

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

14222310414400 is a wasteful number, since it uses less digits than its factorization.

14222310414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808085852 (or 808085837 counting only the distinct ones).

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

Adding to 14222310414400 its reverse (441401322241), we get a palindrome (14663711736641).

The spelling of 14222310414400 in words is "fourteen trillion, two hundred twenty-two billion, three hundred ten million, four hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 17600 808085819 1616171638 3232343276 4040429095 6464686552 8080858190 8888944009 12929373104 16161716380 17777888018 20202145475 25858746208 32323432760 35555776036 40404290950 44444720045 51717492416 64646865520 71111552072 80808581900 88889440090 129293731040 142223104144 161617163800 177778880180 222223600225 258587462080 284446208288 323234327600 355557760360 444447200450 568892416576 646468655200 711115520720 888894400900 1292937310400 1422231041440 1777788801800 2844462082880 3555577603600 7111155207200 14222310414400