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14022101320400 = 245235055253301
BaseRepresentation
bin1100110000001100011001…
…0111100100001011010000
31211122111111100110100200202
43030003012113210023100
53314214230414223100
645453355303034332
72645030512441025
oct314030627441320
954574440410622
1014022101320400
114516815704838
1216a56b143b9a8
137a9380a8c724
1436695d86554c
15194b313927d5
hexcc0c65e42d0

14022101320400 has 30 divisors (see below), whose sum is σ = 33688098423222. Its totient is φ = 5608840528000.

The previous prime is 14022101320393. The next prime is 14022101320543. The reversal of 14022101320400 is 402310122041.

It can be written as a sum of positive squares in 3 ways, for example, as 177331947664 + 13844769372736 = 421108^2 + 3720856^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17527626251 + ... + 17527627050.

Almost surely, 214022101320400 is an apocalyptic number.

14022101320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14022101320400 is an abundant number, since it is smaller than the sum of its proper divisors (19665997102822).

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

14022101320400 is a wasteful number, since it uses less digits than its factorization.

14022101320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35055253319 (or 35055253308 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14022101320400 its reverse (402310122041), we get a palindrome (14424411442441).

The spelling of 14022101320400 in words is "fourteen trillion, twenty-two billion, one hundred one million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 35055253301 70110506602 140221013204 175276266505 280442026408 350552533010 560884052816 701105066020 876381332525 1402210132040 1752762665050 2804420264080 3505525330100 7011050660200 14022101320400