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14255416400 = 245235638541
BaseRepresentation
bin11010100011011000…
…00110010001010000
31100210111002012000012
431101230012101100
5213143341311100
610314315014052
71013156016521
oct152154062120
940714065005
1014255416400
1160558a1375
12291a13a328
1314624c9a44
149933a2848
15586787135
hex351b06450

14255416400 has 30 divisors (see below), whose sum is σ = 34248638862. Its totient is φ = 5702166400.

The previous prime is 14255416391. The next prime is 14255416429. The reversal of 14255416400 is 461455241.

It can be written as a sum of positive squares in 3 ways, for example, as 63936016 + 14191480384 = 7996^2 + 119128^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17818871 + ... + 17819670.

Almost surely, 214255416400 is an apocalyptic number.

14255416400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14255416400 is an abundant number, since it is smaller than the sum of its proper divisors (19993222462).

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

14255416400 is a wasteful number, since it uses less digits than its factorization.

14255416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35638559 (or 35638548 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 14255416400 in words is "fourteen billion, two hundred fifty-five million, four hundred sixteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 35638541 71277082 142554164 178192705 285108328 356385410 570216656 712770820 890963525 1425541640 1781927050 2851083280 3563854100 7127708200 14255416400