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513140434412032 = 297143175344423
BaseRepresentation
bin111010010101100101101000…
…1010100000010001000000000
32111021212202011011012110201201
41310223023101110002020000
51014224243102202141112
65015205243343110544
7213041113216513060
oct16453132124021000
92437782134173651
10513140434412032
111395586aa755909
12496760792a2454
1319042c20c1091b
1490a01b56713a0
153e4ce60eb6257
hex1d2b2d1502200

513140434412032 has 40 divisors (see below), whose sum is σ = 1171747018766016. Its totient is φ = 219917329032192.

The previous prime is 513140434412029. The next prime is 513140434412173. The reversal of 513140434412032 is 230214434041315.

It is a junction number, because it is equal to n+sod(n) for n = 513140434411982 and 513140434412000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71587668628 + ... + 71587675795.

Almost surely, 2513140434412032 is an apocalyptic number.

It is an amenable number.

513140434412032 is an abundant number, since it is smaller than the sum of its proper divisors (658606584353984).

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

513140434412032 is an equidigital number, since it uses as much as digits as its factorization.

513140434412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143175344448 (or 143175344432 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 513140434412032 its reverse (230214434041315), we get a palindrome (743354868453347).

The spelling of 513140434412032 in words is "five hundred thirteen trillion, one hundred forty billion, four hundred thirty-four million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 143175344423 286350688846 572701377692 1002227410961 1145402755384 2004454821922 2290805510768 4008909643844 4581611021536 8017819287688 9163222043072 16035638575376 18326444086144 32071277150752 36652888172288 64142554301504 73305776344576 128285108603008 256570217206016 513140434412032