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241331343333344 = 25112278623350257
BaseRepresentation
bin110110110111110101010100…
…111111100001011111100000
31011122111001101020220211101222
4312313311110333201133200
5223112433042343131334
62213134031045514212
7101555420443112435
oct6667652477413740
91148431336824358
10241331343333344
116a9940588a8890
122309776a712968
13a4875a9413964
1443846dc293b8c
151cd78ae709d2e
hexdb7d54fe17e0

241331343333344 has 96 divisors (see below), whose sum is σ = 520659088621056. Its totient is φ = 109199845509120.

The previous prime is 241331343333317. The next prime is 241331343333391. The reversal of 241331343333344 is 443333343133142.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 241331343333295 and 241331343333304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688837064 + ... + 689187320.

It is an arithmetic number, because the mean of its divisors is an integer number (5423532173136).

Almost surely, 2241331343333344 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 241331343333344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260329544310528).

241331343333344 is an abundant number, since it is smaller than the sum of its proper divisors (279327745287712).

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

241331343333344 is a wasteful number, since it uses less digits than its factorization.

241331343333344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359128 (or 359120 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 44.

Adding to 241331343333344 its reverse (443333343133142), we get a palindrome (684664686466486).

The spelling of 241331343333344 in words is "two hundred forty-one trillion, three hundred thirty-one billion, three hundred forty-three million, three hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 227 352 454 908 1816 2497 3632 4994 7264 8623 9988 17246 19976 34492 39952 68984 79904 94853 137968 189706 275936 350257 379412 700514 758824 1401028 1517648 1957421 2802056 3035296 3852827 3914842 5604112 7705654 7829684 11208224 15411308 15659368 21531631 30822616 31318736 43063262 61645232 62637472 79508339 86126524 123290464 159016678 172253048 318033356 344506096 636066712 689012192 874591729 1272133424 1749183458 2544266848 3020266111 3498366916 6040532222 6996733832 12081064444 13993467664 24162128888 27986935328 33222927221 48324257776 66445854442 96648515552 132891708884 265783417768 531566835536 685600407197 1063133671072 1371200814394 2742401628788 5484803257576 7541604479167 10969606515152 15083208958334 21939213030304 30166417916668 60332835833336 120665671666672 241331343333344