Search a number
-
+
404144130330 = 232531467310181
BaseRepresentation
bin1011110000110001101…
…11100000100100011010
31102122011111111000002100
411320120313200210122
523110141344132310
6505354455144230
741125032266433
oct5703067404432
91378144430070
10404144130330
1114643a9098a6
12663ab075076
132c159085075
14157bc71448a
15a7a563dec0
hex5e18de091a

404144130330 has 96 divisors (see below), whose sum is σ = 1086996837888. Its totient is φ = 104071593600.

The previous prime is 404144130317. The next prime is 404144130337. The reversal of 404144130330 is 33031441404.

It is a junction number, because it is equal to n+sod(n) for n = 404144130294 and 404144130303.

It is not an unprimeable number, because it can be changed into a prime (404144130337) 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, 1147840 + ... + 1458020.

It is an arithmetic number, because the mean of its divisors is an integer number (11322883728).

Almost surely, 2404144130330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404144130330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543498418944).

404144130330 is an abundant number, since it is smaller than the sum of its proper divisors (682852707558).

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

404144130330 is a wasteful number, since it uses less digits than its factorization.

404144130330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310692 (or 310689 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 404144130330 its reverse (33031441404), we get a palindrome (437175571734).

The spelling of 404144130330 in words is "four hundred four billion, one hundred forty-four million, one hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 467 558 930 934 1395 1401 2335 2790 2802 4203 4670 7005 8406 14010 14477 21015 28954 42030 43431 72385 86862 130293 144770 217155 260586 310181 434310 620362 651465 930543 1302930 1550905 1861086 2791629 3101810 4652715 5583258 9305430 9615611 13958145 19231222 27916290 28846833 48078055 57693666 86540499 96156110 144234165 144854527 173080998 288468330 289709054 432702495 434563581 724272635 865404990 869127162 1303690743 1448545270 2172817905 2607381486 4345635810 4490490337 6518453715 8980980674 13036907430 13471471011 22452451685 26942942022 40414413033 44904903370 67357355055 80828826066 134714710110 202072065165 404144130330