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514303303415 = 5111710118130089
BaseRepresentation
bin1110111101111101101…
…11011001111011110111
31211011111200101210212212
413132332313121323313
531411243121202130
61032133452404035
752104625643366
oct7367667317367
91734450353785
10514303303415
11189129897010
128381317661b
1339663543215
141ac6cacd7dd
15d5a16c8e95
hex77bedd9ef7

514303303415 has 64 divisors (see below), whose sum is σ = 723933624960. Its totient is φ = 346613760000.

The previous prime is 514303303411. The next prime is 514303303417.

514303303415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 514303303415 - 22 = 514303303411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514303303411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17077691 + ... + 17107779.

It is an arithmetic number, because the mean of its divisors is an integer number (11311462890).

Almost surely, 2514303303415 is an apocalyptic number.

514303303415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

514303303415 is a deficient number, since it is larger than the sum of its proper divisors (209630321545).

514303303415 is a wasteful number, since it uses less digits than its factorization.

514303303415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30404.

The product of its (nonzero) digits is 32400, while the sum is 32.

It can be divided in two parts, 514303 and 303415, that added together give a palindrome (817718).

The spelling of 514303303415 in words is "five hundred fourteen billion, three hundred three million, three hundred three thousand, four hundred fifteen".

Divisors: 1 5 11 17 55 85 101 181 187 505 905 935 1111 1717 1991 3077 5555 8585 9955 15385 18281 18887 30089 33847 91405 94435 150445 169235 201091 310777 330979 511513 1005455 1553885 1654895 2557565 3038989 3418547 5446109 5626643 15194945 17092735 27230545 28133215 33428879 51662813 59907199 92583853 167144395 258314065 299535995 462919265 550057009 568290943 1018422383 2750285045 2841454715 5092111915 6050627099 9350969153 30253135495 46754845765 102860660683 514303303415