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4223341314444 = 223789730977291
BaseRepresentation
bin111101011101010010110…
…000100100000110001100
3112221202011220210000102010
4331131102300210012030
51023143400334030234
612552102021301220
7614061222600420
oct75352260440614
915852156700363
104223341314444
11138912208488a
12582618564810
1324834ab0b775
141085a7398b80
1574cd36ae6e9
hex3d752c2418c

4223341314444 has 96 divisors (see below), whose sum is σ = 11390491123200. Its totient is φ = 1192932195840.

The previous prime is 4223341314359. The next prime is 4223341314469. The reversal of 4223341314444 is 4444131433224.

It is a happy number.

It is a super-2 number, since 2×42233413144442 (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54603439 + ... + 54680729.

It is an arithmetic number, because the mean of its divisors is an integer number (118650949200).

Almost surely, 24223341314444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4223341314444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5695245561600).

4223341314444 is an abundant number, since it is smaller than the sum of its proper divisors (7167149808756).

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

4223341314444 is a wasteful number, since it uses less digits than its factorization.

4223341314444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84703 (or 84701 counting only the distinct ones).

The product of its digits is 442368, while the sum is 39.

Adding to 4223341314444 its reverse (4444131433224), we get a palindrome (8667472747668).

The spelling of 4223341314444 in words is "four trillion, two hundred twenty-three billion, three hundred forty-one million, three hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1869 2492 3738 7309 7476 14618 21927 29236 43854 51163 77291 87708 102326 153489 154582 204652 231873 306978 309164 463746 541037 613956 650501 927492 1082074 1301002 1623111 1951503 2164148 2602004 3246222 3903006 4553507 6492444 6878899 7806012 9107014 13660521 13757798 18214028 20636697 27321042 27515596 41273394 48152293 54642084 82546788 96304586 144456879 192609172 288913758 564919919 577827516 1129839838 1694759757 2259679676 3389519514 3954439433 6779039028 7908878866 11863318299 15817757732 23726636598 47453273196 50277872791 100555745582 150833618373 201111491164 301667236746 351945109537 603334473492 703890219074 1055835328611 1407780438148 2111670657222 4223341314444