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514553033325344 = 251311633106327373
BaseRepresentation
bin111010011111110111011011…
…0110001001111101100100000
32111110212210022121021101011112
41310333232312301033230200
51014420414103012402334
65022210222240202452
7213245141562251606
oct16477566661175440
92443783277241145
10514553033325344
11139a52796a40152
12498639a9909428
13191161b1a87390
14910c6dd23b876
153e74a8a24c4ce
hex1d3fbb6c4fb20

514553033325344 has 48 divisors (see below), whose sum is σ = 1091045174160312. Its totient is φ = 237465598291968.

The previous prime is 514553033325343. The next prime is 514553033325379. The reversal of 514553033325344 is 443523330355415.

It can be written as a sum of positive squares in 4 ways, for example, as 231957164419600 + 282595868905744 = 15230140^2 + 16810588^2 .

It is a junction number, because it is equal to n+sod(n) for n = 514553033325292 and 514553033325301.

It is not an unprimeable number, because it can be changed into a prime (514553033325343) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 48324359 + ... + 58003014.

Almost surely, 2514553033325344 is an apocalyptic number.

It is an amenable number.

514553033325344 is an abundant number, since it is smaller than the sum of its proper divisors (576492140834968).

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

514553033325344 is a wasteful number, since it uses less digits than its factorization.

514553033325344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106339029 (or 106339021 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 50.

The spelling of 514553033325344 in words is "five hundred fourteen trillion, five hundred fifty-three billion, thirty-three million, three hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 11633 23266 46532 93064 151229 186128 302458 372256 604916 1209832 2419664 4839328 106327373 212654746 425309492 850618984 1382255849 1701237968 2764511698 3402475936 5529023396 11058046792 22116093584 44232187168 1236906330109 2473812660218 4947625320436 9895250640872 16079782291417 19790501281744 32159564582834 39581002563488 64319129165668 128638258331336 257276516662672 514553033325344