Search a number
-
+
135421515542340 = 22325962237818731
BaseRepresentation
bin11110110010101001000111…
…010101000010111101000100
3122202111011121020222120200100
4132302221013111002331010
5120222221230434323330
61200003441351244100
740344611253361416
oct3662510725027504
9582434536876610
10135421515542340
113a170a40101535
121323171b679630
135a7426a636b11
1425626173ba9b6
15109c9574e9060
hex7b2a47542f44

135421515542340 has 72 divisors (see below), whose sum is σ = 410782918710528. Its totient is φ = 36112024226880.

The previous prime is 135421515542317. The next prime is 135421515542431. The reversal of 135421515542340 is 43245515124531.

135421515542340 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 2 + 1 + 51 + 554 + 2 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13410775 + ... + 21229505.

It is an arithmetic number, because the mean of its divisors is an integer number (5705318315424).

Almost surely, 2135421515542340 is an apocalyptic number.

135421515542340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135421515542340 is an abundant number, since it is smaller than the sum of its proper divisors (275361403168188).

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

135421515542340 is a wasteful number, since it uses less digits than its factorization.

135421515542340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7914969 (or 7914964 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 135421515542340 in words is "one hundred thirty-five trillion, four hundred twenty-one billion, five hundred fifteen million, five hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 96223 192446 288669 384892 481115 577338 866007 962230 1154676 1443345 1732014 1924460 2886690 3464028 4330035 5773380 7818731 8660070 15637462 17320140 23456193 31274924 39093655 46912386 70368579 78187310 93824772 117280965 140737158 156374620 234561930 281474316 351842895 469123860 703685790 1407371580 752341753013 1504683506026 2257025259039 3009367012052 3761708765065 4514050518078 6771075777117 7523417530130 9028101036156 11285126295195 13542151554234 15046835060260 22570252590390 27084303108468 33855378885585 45140505180780 67710757771170 135421515542340