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14248350990 = 23251928329443
BaseRepresentation
bin11010100010100010…
…01001010100001110
31100202222210020002100
431101101021110032
5213140034212430
610313503335530
71013041661616
oct152121112416
940688706070
1014248350990
116051905a95
1229178b15a6
131460bc4b23
14992483a46
15585d3d960
hex35144950e

14248350990 has 96 divisors (see below), whose sum is σ = 39134609280. Its totient is φ = 3586742208.

The previous prime is 14248350953. The next prime is 14248350997. The reversal of 14248350990 is 9905384241.

14248350990 is a `hidden beast` number, since 14 + 2 + 48 + 3 + 509 + 90 = 666.

14248350990 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14248350997) 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, 469209 + ... + 498651.

It is an arithmetic number, because the mean of its divisors is an integer number (407652180).

Almost surely, 214248350990 is an apocalyptic number.

14248350990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14248350990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19567304640).

14248350990 is an abundant number, since it is smaller than the sum of its proper divisors (24886258290).

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

14248350990 is a wasteful number, since it uses less digits than its factorization.

14248350990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29758 (or 29755 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 14248350990 in words is "fourteen billion, two hundred forty-eight million, three hundred fifty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 283 285 342 566 570 849 855 1415 1698 1710 2547 2830 4245 5094 5377 8490 10754 12735 16131 25470 26885 29443 32262 48393 53770 58886 80655 88329 96786 147215 161310 176658 241965 264987 294430 441645 483930 529974 559417 883290 1118834 1324935 1678251 2649870 2797085 3356502 5034753 5594170 8332369 8391255 10069506 16664738 16782510 24997107 25173765 41661845 49994214 50347530 74991321 83323690 124985535 149982642 158315011 249971070 316630022 374956605 474945033 749913210 791575055 949890066 1424835099 1583150110 2374725165 2849670198 4749450330 7124175495 14248350990