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14390270208 = 283213734549
BaseRepresentation
bin11010110011011101…
…00001100100000000
31101010212211110122200
431121232201210000
5213432402121313
610335533233200
71016414164356
oct153156414400
941125743580
1014390270208
116114a28aa6
122957332800
1314844248b2
149a72677d6
15593523b73
hex359ba1900

14390270208 has 108 divisors (see below), whose sum is σ = 41530043100. Its totient is φ = 4792209408.

The previous prime is 14390270207. The next prime is 14390270227. The reversal of 14390270208 is 80207209341.

It can be written as a sum of positive squares in 2 ways, for example, as 12930418944 + 1459851264 = 113712^2 + 38208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14390270203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3161118 + ... + 3165666.

Almost surely, 214390270208 is an apocalyptic number.

14390270208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14390270208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20765021550).

14390270208 is an abundant number, since it is smaller than the sum of its proper divisors (27139772892).

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

14390270208 is a wasteful number, since it uses less digits than its factorization.

14390270208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5944 (or 5927 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 14390270208 its reverse (80207209341), we get a palindrome (94597479549).

The spelling of 14390270208 in words is "fourteen billion, three hundred ninety million, two hundred seventy thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1373 2304 2746 4119 4549 5492 8238 9098 10984 12357 13647 16476 18196 21968 24714 27294 32952 36392 40941 43936 49428 54588 65904 72784 81882 87872 98856 109176 131808 145568 163764 175744 197712 218352 263616 291136 327528 351488 395424 436704 527232 582272 655056 790848 873408 1054464 1164544 1310112 1581696 1746816 2620224 3163392 3493632 5240448 6245777 10480896 12491554 18737331 24983108 37474662 49966216 56211993 74949324 99932432 112423986 149898648 199864864 224847972 299797296 399729728 449695944 599594592 799459456 899391888 1199189184 1598918912 1798783776 2398378368 3597567552 4796756736 7195135104 14390270208