Search a number
-
+
135421530444 = 223223971686109
BaseRepresentation
bin111111000011111000…
…0001001000101001100
3110221112202111112020200
41332013300021011030
54204320402433234
6142113425213500
712532605005364
oct1760760110514
9427482445220
10135421530444
1152482a18202
12222b4491290
13ca02172905
1467a95379a4
1537c8cd2d99
hex1f87c0914c

135421530444 has 72 divisors (see below), whose sum is σ = 360881495520. Its totient is φ = 42732721152.

The previous prime is 135421530389. The next prime is 135421530457. The reversal of 135421530444 is 444035124531.

135421530444 is a `hidden beast` number, since 13 + 54 + 2 + 153 + 0 + 444 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 135421530399 and 135421530408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 762739 + ... + 923370.

Almost surely, 2135421530444 is an apocalyptic number.

It is an amenable number.

135421530444 is an abundant number, since it is smaller than the sum of its proper divisors (225459965076).

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

135421530444 is a wasteful number, since it uses less digits than its factorization.

135421530444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686239 (or 1686234 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 135421530444 its reverse (444035124531), we get a palindrome (579456654975).

The spelling of 135421530444 in words is "one hundred thirty-five billion, four hundred twenty-one million, five hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 97 138 194 207 276 291 388 414 582 828 873 1164 1746 2231 3492 4462 6693 8924 13386 20079 26772 40158 80316 1686109 3372218 5058327 6744436 10116654 15174981 20233308 30349962 38780507 60699924 77561014 116341521 155122028 163552573 232683042 327105146 349024563 465366084 490657719 654210292 698049126 981315438 1396098252 1471973157 1962630876 2943946314 3761709179 5887892628 7523418358 11285127537 15046836716 22570255074 33855382611 45140510148 67710765222 135421530444