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4441333304012 = 221117217310131993
BaseRepresentation
bin100000010100001010000…
…0110000000101011001100
3120201120212011011110200112
41000220110012000223030
51040231322311212022
613240153110215152
7635606244124463
oct100502406005314
916646764143615
104441333304012
111462616957050
125b89156544b8
13262a7b7b50c7
14114d66bbd9da
157a7e14588e2
hex40a14180acc

4441333304012 has 144 divisors (see below), whose sum is σ = 9072563546592. Its totient is φ = 1886241054720.

The previous prime is 4441333304003. The next prime is 4441333304047. The reversal of 4441333304012 is 2104033331444.

It is a super-2 number, since 2×44413333040122 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4441333304012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2228465288 + ... + 2228467280.

It is an arithmetic number, because the mean of its divisors is an integer number (63003913518).

Almost surely, 24441333304012 is an apocalyptic number.

It is an amenable number.

4441333304012 is an abundant number, since it is smaller than the sum of its proper divisors (4631230242580).

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

4441333304012 is a wasteful number, since it uses less digits than its factorization.

4441333304012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 4441333304012 its reverse (2104033331444), we get a palindrome (6545366635456).

The spelling of 4441333304012 in words is "four trillion, four hundred forty-one billion, three hundred thirty-three million, three hundred four thousand, twelve".

Divisors: 1 2 4 11 17 22 34 44 68 173 187 289 346 374 578 692 748 1013 1156 1903 1993 2026 2941 3179 3806 3986 4052 5882 6358 7612 7972 11143 11764 12716 17221 21923 22286 32351 33881 34442 43846 44572 49997 64702 67762 68884 87692 99994 129404 135524 175249 189431 199988 292757 344789 350498 372691 378862 549967 575977 585514 689578 700996 745382 757724 1099934 1151954 1171028 1379156 1490764 1927739 2018909 2199868 2303908 2979233 3220327 3792679 3855478 4037818 5861413 5958466 6335747 6440654 7585358 7710956 8075636 11722826 11916932 12671494 12881308 15170716 22207999 23445652 25342988 32771563 34321453 44415998 50646961 64475543 65543126 68642906 88831996 99644021 101293922 128951086 131086252 137285812 199288042 202587844 257902172 349271257 377535983 398576084 557116571 583464701 698542514 755071966 1096084231 1114233142 1166929402 1397085028 1510143932 2192168462 2228466284 2333858804 3841983827 4384336924 5937611369 6418111711 7683967654 11875222738 12836223422 15367935308 23750445476 25672446844 65313725059 100939393273 130627450118 201878786546 261254900236 403757573092 1110333326003 2220666652006 4441333304012