Search a number
-
+
34513045060212 = 2234113942670301
BaseRepresentation
bin1111101100011101100011…
…10010100111101001110100
311112012102012110011220010000
413312032301302213221310
514010430204013411322
6201223023553231300
710161325300431345
oct766166162475164
9145172173156100
1034513045060212
11aaa699a201a14
123a54a38b62530
131634748ba3294
148746242480cc
153ecb6bc6a3ac
hex1f63b1ca7a74

34513045060212 has 60 divisors (see below), whose sum is σ = 91022359020516. Its totient is φ = 11402539948800.

The previous prime is 34513045060183. The next prime is 34513045060253. The reversal of 34513045060212 is 21206054031543.

34513045060212 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 3 + 0 + 45 + 0 + 602 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4455501969636 + 30057543090576 = 2110806^2 + 5482476^2 .

It is a super-3 number, since 3×345130450602123 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 471298539 + ... + 471371762.

Almost surely, 234513045060212 is an apocalyptic number.

It is an amenable number.

34513045060212 is an abundant number, since it is smaller than the sum of its proper divisors (56509313960304).

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

34513045060212 is a wasteful number, since it uses less digits than its factorization.

34513045060212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942670430 (or 942670419 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 34513045060212 its reverse (21206054031543), we get a palindrome (55719099091755).

The spelling of 34513045060212 in words is "thirty-four trillion, five hundred thirteen billion, forty-five million, sixty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 324 339 452 678 1017 1356 2034 3051 4068 6102 9153 12204 18306 36612 942670301 1885340602 2828010903 3770681204 5656021806 8484032709 11312043612 16968065418 25452098127 33936130836 50904196254 76356294381 101808392508 106521744013 152712588762 213043488026 305425177524 319565232039 426086976052 639130464078 958695696117 1278260928156 1917391392234 2876087088351 3834782784468 5752174176702 8628261265053 11504348353404 17256522530106 34513045060212