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14314140400 = 245275112193
BaseRepresentation
bin11010101010011000…
…00111001011110000
31100221120120200012011
431111030013023300
5213303404443100
610324213412304
71014501120520
oct152514071360
940846520164
1014314140400
116085a605aa
12293593a094
13147171ac81
1499b0cb680
1558b9d6bba
hex3553072f0

14314140400 has 60 divisors (see below), whose sum is σ = 39302547472. Its totient is φ = 4907704320.

The previous prime is 14314140377. The next prime is 14314140427. The reversal of 14314140400 is 404141341.

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, 2553297 + ... + 2558896.

Almost surely, 214314140400 is an apocalyptic number.

14314140400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14314140400 is an abundant number, since it is smaller than the sum of its proper divisors (24988407072).

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

14314140400 is a wasteful number, since it uses less digits than its factorization.

14314140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112218 (or 5112207 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14314140400 its reverse (404141341), we get a palindrome (14718281741).

The spelling of 14314140400 in words is "fourteen billion, three hundred fourteen million, one hundred forty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 5112193 10224386 20448772 25560965 35785351 40897544 51121930 71570702 81795088 102243860 127804825 143141404 178926755 204487720 255609650 286282808 357853510 408975440 511219300 572565616 715707020 894633775 1022438600 1431414040 1789267550 2044877200 2862828080 3578535100 7157070200 14314140400