Search a number
-
+
503141222141305 = 51173137914710751
BaseRepresentation
bin111001001100110101011000…
…1110100010100110101111001
32102222110211102212020000022121
41302121222301310110311321
51011421431210332010210
64542031515253521241
7210656516344544326
oct16231526164246571
92388424385200277
10503141222141305
11136352aa3041520
1248520181343221
131879902402ccc7
148c36244dd5b4d
153d27cd02c46da
hex1c99ab1d14d79

503141222141305 has 32 divisors (see below), whose sum is σ = 672553886358528. Its totient is φ = 358273906560000.

The previous prime is 503141222141303. The next prime is 503141222141381.

503141222141305 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 503141222141305 - 21 = 503141222141303 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (503141222141303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456805321 + ... + 457905430.

It is an arithmetic number, because the mean of its divisors is an integer number (21017308948704).

Almost surely, 2503141222141305 is an apocalyptic number.

503141222141305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

503141222141305 is a deficient number, since it is larger than the sum of its proper divisors (169412664217223).

503141222141305 is a wasteful number, since it uses less digits than its factorization.

503141222141305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914710977.

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 503141222141305 in words is "five hundred three trillion, one hundred forty-one billion, two hundred twenty-two million, one hundred forty-one thousand, three hundred five".

Divisors: 1 5 11 55 73 137 365 685 803 1507 4015 7535 10001 50005 110011 550055 914710751 4573553755 10061818261 50309091305 66773884823 125315372887 333869424115 626576864435 734512733053 1378469101757 3672563665265 6892345508785 9148022220751 45740111103755 100628244428261 503141222141305