Search a number
-
+
334045056641777 = 132941193215352009
BaseRepresentation
bin100101111110011111110110…
…0111100001010101011110001
31121210202101200100100121020122
41023330333230330022223301
5322240443234000014102
63142242102553420025
7130234646623260155
oct11374775474125361
91553671610317218
10334045056641777
1197489792a34a78
123157020570a615
13114514101c3170
145c6bc1d0d7065
152894429ebe0a2
hex12fcfecf0aaf1

334045056641777 has 64 divisors (see below), whose sum is σ = 383383010606400. Its totient is φ = 288810459463680.

The previous prime is 334045056641759. The next prime is 334045056641783. The reversal of 334045056641777 is 777146650540433.

It can be written as a sum of positive squares in 32 ways, for example, as 304772022513841 + 29273034127936 = 17457721^2 + 5410456^2 .

It is a cyclic number.

It is not a de Polignac number, because 334045056641777 - 26 = 334045056641713 is a prime.

It is a super-2 number, since 2×3340450566417772 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334045056641477) 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, 6422805749 + ... + 6422857757.

It is an arithmetic number, because the mean of its divisors is an integer number (5990359540725).

Almost surely, 2334045056641777 is an apocalyptic number.

It is an amenable number.

334045056641777 is a deficient number, since it is larger than the sum of its proper divisors (49337953964623).

334045056641777 is a wasteful number, since it uses less digits than its factorization.

334045056641777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54438.

The product of its (nonzero) digits is 177811200, while the sum is 62.

The spelling of 334045056641777 in words is "three hundred thirty-four trillion, forty-five billion, fifty-six million, six hundred forty-one thousand, seven hundred seventy-seven".

Divisors: 1 13 29 41 193 377 533 1189 2153 2509 5597 7913 15457 27989 52009 62437 72761 88273 102869 229477 415529 676117 811681 1147549 1508261 2132369 2559917 2983201 5401877 10037737 12050341 17036689 19607393 27720797 33278921 61838701 111975377 130490581 156654433 221476957 291094373 411547217 494063981 803903113 1455679901 3247285933 3784226849 4590990457 5350113821 6422831753 11934869293 21611247761 42214717129 59682875941 133138723253 155153300809 280946220893 626726185069 886061158201 1730803402289 8147440405897 11518795056613 25695773587829 334045056641777