Search a number
-
+
134420400144 = 24323739249659
BaseRepresentation
bin111110100110000010…
…1001000100000010000
3110211221222200211122200
41331030011020200100
54200243110301034
6141430223403200
712466030356222
oct1751405104020
9424858624580
10134420400144
11520098a2198
1222075153500
13c8a292b114
1467125b4412
15376ae7ba99
hex1f4c148810

134420400144 has 60 divisors (see below), whose sum is σ = 376292545200. Its totient is φ = 44794636992.

The previous prime is 134420400139. The next prime is 134420400161. The reversal of 134420400144 is 441004024431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413587 + ... + 663245.

It is an arithmetic number, because the mean of its divisors is an integer number (6271542420).

Almost surely, 2134420400144 is an apocalyptic number.

It is an amenable number.

134420400144 is an abundant number, since it is smaller than the sum of its proper divisors (241872145056).

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

134420400144 is a wasteful number, since it uses less digits than its factorization.

134420400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253412 (or 253403 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 134420400144 its reverse (441004024431), we get a palindrome (575424424575).

The spelling of 134420400144 in words is "one hundred thirty-four billion, four hundred twenty million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3739 7478 11217 14956 22434 29912 33651 44868 59824 67302 89736 134604 179472 249659 269208 499318 538416 748977 998636 1497954 1997272 2246931 2995908 3994544 4493862 5991816 8987724 11983632 17975448 35950896 933475001 1866950002 2800425003 3733900004 5600850006 7467800008 8401275009 11201700012 14935600016 16802550018 22403400024 33605100036 44806800048 67210200072 134420400144