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14234147226 = 23313177731543
BaseRepresentation
bin11010100000110101…
…11101100110011010
31100202000001121012000
431100122331212122
5213122420202401
610312235101430
71012510153335
oct152032754632
940660047160
1014234147226
116044894542
122912ba1876
13145ac90a30
1499062761c
15584985186
hex3506bd99a

14234147226 has 128 divisors (see below), whose sum is σ = 36138493440. Its totient is φ = 4114105344.

The previous prime is 14234147203. The next prime is 14234147233. The reversal of 14234147226 is 62274143241.

14234147226 is a `hidden beast` number, since 1 + 423 + 4 + 1 + 4 + 7 + 226 = 666.

It is a super-2 number, since 2×142341472262 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9224211 + ... + 9225753.

It is an arithmetic number, because the mean of its divisors is an integer number (282331980).

Almost surely, 214234147226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14234147226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18069246720).

14234147226 is an abundant number, since it is smaller than the sum of its proper divisors (21904346214).

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

14234147226 is a wasteful number, since it uses less digits than its factorization.

14234147226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2351 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The spelling of 14234147226 in words is "fourteen billion, two hundred thirty-four million, one hundred forty-seven thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 773 918 1326 1543 1546 1989 2319 3086 3978 4629 4638 5967 6957 9258 10049 11934 13141 13887 13914 20059 20098 20871 26231 26282 27774 30147 39423 40118 41661 41742 52462 60177 60294 78693 78846 83322 90441 118269 120354 157386 170833 180531 180882 236079 236538 271323 341003 341666 354807 361062 472158 512499 541593 542646 682006 708237 709614 1023009 1024998 1083186 1192739 1416474 1537497 2046018 2385478 3069027 3074994 3578217 4612491 6138054 7156434 9207081 9224982 10734651 15505607 18414162 20276563 21469302 31011214 32203953 40553126 46516821 60829689 64407906 93033642 121659378 139550463 182489067 263595319 279100926 364978134 418651389 527190638 547467201 790785957 837302778 1094934402 1581571914 2372357871 4744715742 7117073613 14234147226