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14104334204154 = 23319109161977899
BaseRepresentation
bin1100110100111110101111…
…0101000111110011111010
31211221100202022010200101000
43031033223311013303322
53322041134024013104
645555235223105430
72654001356430555
oct315175365076372
954840668120330
1014104334204154
114548683a60497
1216b9620ba2276
137b405769a61c
1436a920d9b69c
15196d458c6639
hexcd3ebd47cfa

14104334204154 has 128 divisors (see below), whose sum is σ = 33316272000000. Its totient is φ = 4410355428288.

The previous prime is 14104334204131. The next prime is 14104334204159. The reversal of 14104334204154 is 45140243340141.

It is a happy number.

14104334204154 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 433 + 4 + 204 + 15 + 4 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14104334204159) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181020297 + ... + 181098195.

It is an arithmetic number, because the mean of its divisors is an integer number (260283375000).

Almost surely, 214104334204154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14104334204154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16658136000000).

14104334204154 is an abundant number, since it is smaller than the sum of its proper divisors (19211937795846).

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

14104334204154 is a wasteful number, since it uses less digits than its factorization.

14104334204154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79657 (or 79651 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 14104334204154 its reverse (45140243340141), we get a palindrome (59244577544295).

The spelling of 14104334204154 in words is "fourteen trillion, one hundred four billion, three hundred thirty-four million, two hundred four thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 109 114 171 218 327 342 513 654 981 1026 1619 1962 2071 2943 3238 4142 4857 5886 6213 9714 12426 14571 18639 29142 30761 37278 43713 55917 61522 77899 87426 92283 111834 155798 176471 184566 233697 276849 352942 467394 529413 553698 701091 830547 1058826 1402182 1480081 1588239 1661094 2103273 2960162 3176478 3352949 4206546 4440243 4764717 6705898 8490991 8880486 9529434 10058847 13320729 16981982 20117694 25472973 26641458 30176541 39962187 50945946 60353082 76418919 79924374 90529623 126118481 152837838 161328829 181059246 229256757 252236962 322657658 378355443 458513514 483986487 756710886 967972974 1135066329 1451959461 2270132658 2396251139 2903918922 3405198987 4355878383 4792502278 6810397974 7188753417 8711756766 13746914429 14377506834 21566260251 27493828858 41240743287 43132520502 64698780753 82481486574 123722229861 129397561506 247444459722 261191374151 371166689583 522382748302 742333379166 783574122453 1567148244906 2350722367359 4701444734718 7052167102077 14104334204154