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304444434304140 = 223513834702570811
BaseRepresentation
bin100010100111000111111111…
…0010111000100110010001100
31110220221121022002012012000020
41011032033332113010302030
5304401004200140213030
62555255501535502140
7121061245614646344
oct10516177627046214
91426847262165006
10304444434304140
1189007183350899
122a18b455087950
13100b4caa4a5230
1455272913cdd24
15252e47215c510
hex114e3fe5c4c8c

304444434304140 has 96 divisors (see below), whose sum is σ = 929077510185216. Its totient is φ = 74037274832640.

The previous prime is 304444434304099. The next prime is 304444434304177. The reversal of 304444434304140 is 41403434444403.

It is a super-2 number, since 2×3044444343041402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 304444434304092 and 304444434304101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2351220666 + ... + 2351350145.

It is an arithmetic number, because the mean of its divisors is an integer number (9677890731096).

Almost surely, 2304444434304140 is an apocalyptic number.

304444434304140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

304444434304140 is an abundant number, since it is smaller than the sum of its proper divisors (624633075881076).

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

304444434304140 is a wasteful number, since it uses less digits than its factorization.

304444434304140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702570919 (or 4702570917 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 42.

Adding to 304444434304140 its reverse (41403434444403), we get a palindrome (345847868748543).

The spelling of 304444434304140 in words is "three hundred four trillion, four hundred forty-four billion, four hundred thirty-four million, three hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 83 130 156 166 195 249 260 332 390 415 498 780 830 996 1079 1245 1660 2158 2490 3237 4316 4980 5395 6474 10790 12948 16185 21580 32370 64740 4702570811 9405141622 14107712433 18810283244 23512854055 28215424866 47025708110 56430849732 61133420543 70538562165 94051416220 122266841086 141077124330 183400261629 244533682172 282154248660 305667102715 366800523258 390313377313 611334205430 733601046516 780626754626 917001308145 1170940131939 1222668410860 1561253509252 1834002616290 1951566886565 2341880263878 3668005232580 3903133773130 4683760527756 5074073905069 5854700659695 7806267546260 10148147810138 11709401319390 15222221715207 20296295620276 23418802638780 25370369525345 30444443430414 50740739050690 60888886860828 76111108576035 101481478101380 152222217152070 304444434304140