Search a number
-
+
127740041301834 = 232132387322866737
BaseRepresentation
bin11101000010110111001011…
…110010010000111101001010
3121202021211101010000022000200
4131002313023302100331022
5113220343101033124314
61131402544223513030
735622625206551253
oct3502671362207512
9552254333008020
10127740041301834
113777a27a158935
12123b0a61458776
135637aac9a5a30
142378918449b2a
15eb7c29351709
hex742dcbc90f4a

127740041301834 has 48 divisors (see below), whose sum is σ = 298072594644552. Its totient is φ = 39302979969024.

The previous prime is 127740041301833. The next prime is 127740041301857. The reversal of 127740041301834 is 438103140047721.

127740041301834 is a `hidden beast` number, since 1 + 2 + 77 + 400 + 4 + 130 + 18 + 34 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94583346807609 + 33156694494225 = 9725397^2 + 5758185^2 .

It is a super-2 number, since 2×1277400413018342 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127740041301834.

It is not an unprimeable number, because it can be changed into a prime (127740041301833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5847087 + ... + 17019650.

Almost surely, 2127740041301834 is an apocalyptic number.

127740041301834 is an abundant number, since it is smaller than the sum of its proper divisors (170332553342718).

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

127740041301834 is a wasteful number, since it uses less digits than its factorization.

127740041301834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22890631 (or 22890628 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 127740041301834 in words is "one hundred twenty-seven trillion, seven hundred forty billion, forty-one million, three hundred one thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 23873 47746 71619 143238 214857 310349 429714 620698 931047 1862094 2793141 5586282 22866737 45733474 68600211 137200422 205800633 297267581 411601266 594535162 891802743 1783605486 2675408229 5350816458 545897612401 1091795224802 1637692837203 3275385674406 4913078511609 7096668961213 9826157023218 14193337922426 21290006883639 42580013767278 63870020650917 127740041301834