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514044443536 = 241311324190749
BaseRepresentation
bin1110111101011110110…
…11111011101110010000
31211010211122022100212221
413132233123323232100
531410230334143121
61032052044230424
752065333451021
oct7365733735620
91733748270787
10514044443536
11189006761828
128376053b414
1339621a1abb0
141ac46588c48
15d588ae4b41
hex77af6fbb90

514044443536 has 80 divisors (see below), whose sum is σ = 1086567174000. Its totient is φ = 234173399040.

The previous prime is 514044443527. The next prime is 514044443537. The reversal of 514044443536 is 635344440415.

It can be written as a sum of positive squares in 8 ways, for example, as 26980033536 + 487064410000 = 164256^2 + 697900^2 .

It is a junction number, because it is equal to n+sod(n) for n = 514044443492 and 514044443501.

It is not an unprimeable number, because it can be changed into a prime (514044443537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5619090 + ... + 5709838.

It is an arithmetic number, because the mean of its divisors is an integer number (13582089675).

Almost surely, 2514044443536 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 514044443536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543283587000).

514044443536 is an abundant number, since it is smaller than the sum of its proper divisors (572522730464).

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

514044443536 is a wasteful number, since it uses less digits than its factorization.

514044443536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91124 (or 91118 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 43.

The spelling of 514044443536 in words is "five hundred fourteen billion, forty-four million, four hundred forty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 113 208 226 241 452 482 904 964 1469 1808 1928 2938 3133 3856 5876 6266 11752 12532 23504 25064 27233 50128 54466 90749 108932 181498 217864 354029 362996 435728 708058 725992 1179737 1416116 1451984 2359474 2832232 4718948 5664464 9437896 10254637 18875792 20509274 21870509 41018548 43741018 82037096 87482036 133310281 164074192 174964072 266620562 284316617 349928144 533241124 568633234 1066482248 1137266468 2132964496 2274532936 2471367517 4549065872 4942735034 9885470068 19770940136 32127777721 39541880272 64255555442 128511110884 257022221768 514044443536