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14022111400400 = 245235055278501
BaseRepresentation
bin1100110000001100011011…
…1110000001000111010000
31211122111112001102110212002
43030003012332001013100
53314214241004303100
645453400303053132
72645030664222545
oct314030676010720
954574461373762
1014022111400400
11451682036a014
1216a56b48a11a8
137a9382bab81c
14366960d2abcc
15194b321d42d5
hexcc0c6f811d0

14022111400400 has 30 divisors (see below), whose sum is σ = 33688122640422. Its totient is φ = 5608844560000.

The previous prime is 14022111400397. The next prime is 14022111400411. The reversal of 14022111400400 is 400411122041.

It can be written as a sum of positive squares in 3 ways, for example, as 5354141584 + 14016757258816 = 73172^2 + 3743896^2 .

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, 17527638851 + ... + 17527639650.

Almost surely, 214022111400400 is an apocalyptic number.

14022111400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14022111400400 is an abundant number, since it is smaller than the sum of its proper divisors (19666011240022).

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

14022111400400 is a wasteful number, since it uses less digits than its factorization.

14022111400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35055278519 (or 35055278508 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 14022111400400 its reverse (400411122041), we get a palindrome (14422522522441).

The spelling of 14022111400400 in words is "fourteen trillion, twenty-two billion, one hundred eleven million, four hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 35055278501 70110557002 140221114004 175276392505 280442228008 350552785010 560884456016 701105570020 876381962525 1402211140040 1752763925050 2804422280080 3505527850100 7011055700200 14022111400400