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514386331047 = 3223103142916883
BaseRepresentation
bin1110111110000111101…
…00001000010110100111
31211011201110122001101100
413133003310020112213
531411430400043142
61032150020131143
752106654446431
oct7370364102647
91734643561340
10514386331047
11189171745996
1283836b36ab3
13396777c36b4
141ac79b43651
15d5a8b29b4c
hex77c3d085a7

514386331047 has 48 divisors (see below), whose sum is σ = 783428405760. Its totient is φ = 324583326144.

The previous prime is 514386331031. The next prime is 514386331061. The reversal of 514386331047 is 740133683415.

514386331047 is a `hidden beast` number, since 5 + 1 + 4 + 3 + 8 + 633 + 1 + 0 + 4 + 7 = 666.

It is not a de Polignac number, because 514386331047 - 24 = 514386331031 is a prime.

It is a super-2 number, since 2×5143863310472 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 514386330993 and 514386331011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514386331847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30459268 + ... + 30476150.

It is an arithmetic number, because the mean of its divisors is an integer number (16321425120).

Almost surely, 2514386331047 is an apocalyptic number.

514386331047 is a deficient number, since it is larger than the sum of its proper divisors (269042074713).

514386331047 is a wasteful number, since it uses less digits than its factorization.

514386331047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18444 (or 18441 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 514386331047 in words is "five hundred fourteen billion, three hundred eighty-six million, three hundred thirty-one thousand, forty-seven".

Divisors: 1 3 9 23 69 103 207 309 927 1429 2369 4287 7107 12861 16883 21321 32867 50649 98601 147187 151947 295803 388309 441561 1164927 1324683 1738949 3385301 3494781 5216847 10155903 15650541 24125807 30467709 39995827 72377421 119987481 217132263 359962443 554893561 1664680683 2484958121 4994042049 7454874363 22364623089 57154036783 171462110349 514386331047