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514540645623414 = 232291840153568287
BaseRepresentation
bin111010011111110001101010…
…0011001111010011001110110
32111110211121100021121220202100
41310333203110121322121312
51014420213220234422124
65022200413120522530
7213244222602443544
oct16477432431723166
92443747307556670
10514540645623414
11139a4850a453363
1249861511180446
1319114c894c8b37
14910bc85d3ad94
153e745b29471c9
hex1d3f8d467a676

514540645623414 has 48 divisors (see below), whose sum is σ = 1153343453857920. Its totient is φ = 165590285683200.

The previous prime is 514540645623371. The next prime is 514540645623419. The reversal of 514540645623414 is 414326546045415.

514540645623414 is a `hidden beast` number, since 5 + 1 + 4 + 5 + 4 + 0 + 6 + 4 + 5 + 623 + 4 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514540645623419) 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 23 ways as a sum of consecutive naturals, for example, 17178822 + ... + 36389465.

It is an arithmetic number, because the mean of its divisors is an integer number (24027988622040).

Almost surely, 2514540645623414 is an apocalyptic number.

514540645623414 is an abundant number, since it is smaller than the sum of its proper divisors (638802808234506).

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

514540645623414 is a wasteful number, since it uses less digits than its factorization.

514540645623414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53586725 (or 53586722 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 514540645623414 in words is "five hundred fourteen trillion, five hundred forty billion, six hundred forty-five million, six hundred twenty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 18401 36802 55203 110406 165609 331218 533629 1067258 1600887 3201774 4802661 9605322 53568287 107136574 160704861 321409722 482114583 964229166 1553480323 3106960646 4660440969 9320881938 13981322907 27962645814 985710049087 1971420098174 2957130147261 5914260294522 8871390441783 17742780883566 28585591423523 57171182847046 85756774270569 171513548541138 257270322811707 514540645623414