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513214144143340 = 22590728291849181
BaseRepresentation
bin111010010110000111111101…
…0110000010101111111101100
32111022010210102010001210021011
41310230033322300111333230
51014232000031400041330
65015303153434315004
7213046332631056643
oct16454177260257754
92438123363053234
10513214144143340
111395869949a3a22
124968840a588a64
1319049b69aa8353
1490a39a8c3c35a
153e4ed2711182a
hex1d2c3fac15fec

513214144143340 has 24 divisors (see below), whose sum is σ = 1078937960404752. Its totient is φ = 205059322856640.

The previous prime is 513214144143271. The next prime is 513214144143347. The reversal of 513214144143340 is 43341441412315.

It is a junction number, because it is equal to n+sod(n) for n = 513214144143293 and 513214144143302.

It is not an unprimeable number, because it can be changed into a prime (513214144143347) 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, 14145906451 + ... + 14145942730.

It is an arithmetic number, because the mean of its divisors is an integer number (44955748350198).

Almost surely, 2513214144143340 is an apocalyptic number.

It is an amenable number.

513214144143340 is an abundant number, since it is smaller than the sum of its proper divisors (565723816261412).

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

513214144143340 is a wasteful number, since it uses less digits than its factorization.

513214144143340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28291850097 (or 28291850095 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

Adding to 513214144143340 its reverse (43341441412315), we get a palindrome (556555585555655).

The spelling of 513214144143340 in words is "five hundred thirteen trillion, two hundred fourteen billion, one hundred forty-four million, one hundred forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 907 1814 3628 4535 9070 18140 28291849181 56583698362 113167396724 141459245905 282918491810 565836983620 25660707207167 51321414414334 102642828828668 128303536035835 256607072071670 513214144143340