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10344043243424 = 2511312074745691
BaseRepresentation
bin1001011010000110100100…
…0001011110011110100000
31100121212210011021212100102
42112201221001132132200
52323434100032242144
633555553213441532
72115222014561312
oct226415101363640
940555704255312
1010344043243424
11332897a818a50
1211b08b31a02a8
135a05928bbcc7
1427a92380b7b2
1512e114051b4e
hex9686905e7a0

10344043243424 has 96 divisors (see below), whose sum is σ = 22934442166272. Its totient is φ = 4549846752000.

The previous prime is 10344043243379. The next prime is 10344043243441. The reversal of 10344043243424 is 42434234044301.

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 15 ways as a sum of consecutive naturals, for example, 226368419 + ... + 226414109.

It is an arithmetic number, because the mean of its divisors is an integer number (238900439232).

Almost surely, 210344043243424 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 10344043243424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11467221083136).

10344043243424 is an abundant number, since it is smaller than the sum of its proper divisors (12590398922848).

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

10344043243424 is a wasteful number, since it uses less digits than its factorization.

10344043243424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66490 (or 66482 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 10344043243424 its reverse (42434234044301), we get a palindrome (52778277287725).

The spelling of 10344043243424 in words is "ten trillion, three hundred forty-four billion, forty-three million, two hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 10912 20747 41494 45691 82988 91382 165976 182764 228217 331952 365528 456434 502601 643157 663904 731056 912868 1005202 1286314 1416421 1462112 1825736 2010404 2572628 2832842 3651472 4020808 5145256 5665684 7074727 7302944 8041616 10290512 11331368 14149454 15580631 16083232 20581024 22662736 28298908 31161262 45325472 56597816 62322524 113195632 124645048 226391264 249290096 498580192 947951177 1895902354 3791804708 7583609416 10427462947 15167218832 20854925894 29386486487 30334437664 41709851788 58772972974 83419703576 117545945948 166839407152 235091891896 323251351357 333678814304 470183783792 646502702714 940367567584 1293005405428 2586010810856 5172021621712 10344043243424