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513016440440361 = 311132611145798419
BaseRepresentation
bin111010010100101011111001…
…0101100100100011000101001
32111021102220002210200002002120
41310221113302230210120221
51014220230132223042421
65015032255454021453
7213026133432242304
oct16451276254443051
92437386083602076
10513016440440361
11139510061354760
1249656033aa7889
1319034320435a10
1490981b1b03b3b
153e49b0557b8c6
hex1d295f2b24629

513016440440361 has 32 divisors (see below), whose sum is σ = 803636966522880. Its totient is φ = 286991206555200.

The previous prime is 513016440440351. The next prime is 513016440440369. The reversal of 513016440440361 is 163044044610315.

It is not a de Polignac number, because 513016440440361 - 213 = 513016440432169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513016440440369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11697591 + ... + 34100828.

It is an arithmetic number, because the mean of its divisors is an integer number (25113655203840).

Almost surely, 2513016440440361 is an apocalyptic number.

It is an amenable number.

513016440440361 is a deficient number, since it is larger than the sum of its proper divisors (290620526082519).

513016440440361 is a wasteful number, since it uses less digits than its factorization.

513016440440361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45824557.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 513016440440361 in words is "five hundred thirteen trillion, sixteen billion, four hundred forty million, four hundred forty thousand, three hundred sixty-one".

Divisors: 1 3 11 13 33 39 143 429 26111 78333 287221 339443 861663 1018329 3733873 11201619 45798419 137395257 503782609 595379447 1511347827 1786138341 6549173917 19647521751 1195842518509 3587527555527 13154267703599 15545952740617 39462803110797 46637858221851 171005480146787 513016440440361