Search a number
-
+
159300805120 = 29562226877
BaseRepresentation
bin1001010001011100010…
…0010110001000000000
3120020011221120100221021
42110113010112020000
510102222001230440
6201103133035224
714336423334112
oct2242704261000
9506157510837
10159300805120
1161617173756
1226a59625b14
131203944cb42
1479d2b093b2
1542253c884a
hex2517116200

159300805120 has 40 divisors (see below), whose sum is σ = 381948577164. Its totient is φ = 63720321024.

The previous prime is 159300805091. The next prime is 159300805121. The reversal of 159300805120 is 21508003951.

159300805120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 156094527744 + 3206277376 = 395088^2 + 56624^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1593008051203 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (159300805121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31110879 + ... + 31115998.

Almost surely, 2159300805120 is an apocalyptic number.

159300805120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

159300805120 is an abundant number, since it is smaller than the sum of its proper divisors (222647772044).

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

159300805120 is an frugal number, since it uses more digits than its factorization.

159300805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62226900 (or 62226884 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 159300805120 in words is "one hundred fifty-nine billion, three hundred million, eight hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 62226877 124453754 248907508 311134385 497815016 622268770 995630032 1244537540 1991260064 2489075080 3982520128 4978150160 7965040256 9956300320 15930080512 19912600640 31860161024 39825201280 79650402560 159300805120