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14422000014 = 23217229277743
BaseRepresentation
bin11010110111001111…
…00100000110001110
31101020002112111202200
431123213210012032
5214014013000024
610343025302330
71020250656162
oct153347440616
941202474680
1014422000014
116130930084
122965a949a6
13148ab84026
149ab566ca2
155961e02c9
hex35b9e418e

14422000014 has 96 divisors (see below), whose sum is σ = 33395094720. Its totient is φ = 4482487296.

The previous prime is 14422000013. The next prime is 14422000037. The reversal of 14422000014 is 41000022441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14422000013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19410127 + ... + 19410869.

It is an arithmetic number, because the mean of its divisors is an integer number (347865570).

Almost surely, 214422000014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14422000014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16697547360).

14422000014 is an abundant number, since it is smaller than the sum of its proper divisors (18973094706).

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

14422000014 is a wasteful number, since it uses less digits than its factorization.

14422000014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14422000014 its reverse (41000022441), we get a palindrome (55422022455).

The spelling of 14422000014 in words is "fourteen billion, four hundred twenty-two million, fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 17 18 34 51 102 153 229 277 306 458 554 687 743 831 1374 1486 1662 2061 2229 2493 3893 4122 4458 4709 4986 6687 7786 9418 11679 12631 13374 14127 23358 25262 28254 35037 37893 42381 63433 70074 75786 84762 113679 126866 170147 190299 205811 227358 340294 380598 411622 510441 570897 617433 1020882 1078361 1141794 1234866 1531323 1852299 2156722 2892499 3062646 3235083 3498787 3704598 5784998 6470166 6997574 8677497 9705249 10496361 17354994 19410498 20992722 26032491 31489083 47130719 52064982 62978166 94261438 141392157 282784314 424176471 801222223 848352942 1602444446 2403666669 4807333338 7211000007 14422000014