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23405334041466 = 23313591163485899
BaseRepresentation
bin1010101001001011110101…
…00111110001001101111010
310001212112020222020112102000
411110211322213301031322
511031433111003311331
6121440132332521430
74633656665544216
oct524457247611572
9101775228215360
1023405334041466
117504167988443
12276013b020276
13100a16256a010
145acb778cd946
152a8c5e4100e6
hex15497a9f137a

23405334041466 has 128 divisors (see below), whose sum is σ = 57011230080000. Its totient is φ = 7073477627328.

The previous prime is 23405334041417. The next prime is 23405334041471. The reversal of 23405334041466 is 66414043350432.

It is a happy number.

23405334041466 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 533 + 40 + 4 + 14 + 66 = 666.

It is a super-2 number, since 2×234053340414662 (a number of 28 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, 47926185 + ... + 48412083.

It is an arithmetic number, because the mean of its divisors is an integer number (445400235000).

Almost surely, 223405334041466 is an apocalyptic number.

23405334041466 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23405334041466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28505615040000).

23405334041466 is an abundant number, since it is smaller than the sum of its proper divisors (33605896038534).

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

23405334041466 is a wasteful number, since it uses less digits than its factorization.

23405334041466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487145 (or 487139 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

Adding to 23405334041466 its reverse (66414043350432), we get a palindrome (89819377391898).

The spelling of 23405334041466 in words is "twenty-three trillion, four hundred five billion, three hundred thirty-four million, forty-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 117 118 177 234 351 354 531 702 767 1062 1163 1534 1593 2301 2326 3186 3489 4602 6903 6978 10467 13806 15119 20709 20934 30238 31401 41418 45357 62802 68617 90714 136071 137234 205851 272142 408213 411702 485899 617553 816426 892021 971798 1235106 1457697 1784042 1852659 2676063 2915394 3705318 4373091 5352126 6316687 8028189 8746182 12633374 13119273 16056378 18950061 24084567 26238546 28668041 37900122 48169134 56850183 57336082 86004123 113700366 170550549 172008246 258012369 341101098 372684533 516024738 565100537 745369066 774037107 1118053599 1130201074 1548074214 1695301611 2236107198 3354160797 3390603222 5085904833 6708321594 7346306981 10062482391 10171809666 14692613962 15257714499 20124964782 22038920943 30515428998 33340931683 44077841886 66116762829 66681863366 100022795049 132233525658 198350288487 200045590098 300068385147 396700576974 433432111879 600136770294 866864223758 900205155441 1300296335637 1800410310882 2600592671274 3900889006911 7801778013822 11702667020733 23405334041466