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326528131140 = 223251814045173
BaseRepresentation
bin1001100000001101001…
…01111110000001000100
31011012211022021201101200
410300012211332001010
520322212200144030
6410001023022500
732406446214501
oct4600645760104
91135738251350
10326528131140
11116530687922
125334973aa30
1324a39b26823
1411b384324a8
1587615d5d60
hex4c0697e044

326528131140 has 36 divisors (see below), whose sum is σ = 990468665004. Its totient is φ = 87074168256.

The previous prime is 326528131129. The next prime is 326528131183. The reversal of 326528131140 is 41131825623.

326528131140 is a `hidden beast` number, since 3 + 2 + 6 + 528 + 13 + 114 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 150475719744 + 176052411396 = 387912^2 + 419586^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 326528131095 and 326528131104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 907022407 + ... + 907022766.

Almost surely, 2326528131140 is an apocalyptic number.

326528131140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

326528131140 is an abundant number, since it is smaller than the sum of its proper divisors (663940533864).

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

326528131140 is a wasteful number, since it uses less digits than its factorization.

326528131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814045188 (or 1814045183 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 326528131140 its reverse (41131825623), we get a palindrome (367659956763).

The spelling of 326528131140 in words is "three hundred twenty-six billion, five hundred twenty-eight million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1814045173 3628090346 5442135519 7256180692 9070225865 10884271038 16326406557 18140451730 21768542076 27210677595 32652813114 36280903460 54421355190 65305626228 81632032785 108842710380 163264065570 326528131140